137970045892224
137,970,045,892,224 is an even composite number composed of seven prime numbers multiplied together.
137970045892224 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137970045892224:
27 × 34 × 7 × 132 × 23 × 127 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 23 × 127 × 3851)See below for interesting mathematical facts about the number 137970045892224 from the Numbermatics database.
Names of 137970045892224
- Cardinal: 137970045892224 can be written as One hundred thirty-seven trillion, nine hundred seventy billion, forty-five million, eight hundred ninety-two thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.37970045892224 × 1014
Factors of 137970045892224
Divisors of 137970045892224
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 52 54 56 63 64 69 72 78 81 84 91 92 96 104 108 112 117 126 127 128 138 144 156 161 162 168 169 182 184 189 192 207 208 216 224 234 252 254 273 276 288 299 312 322 324 336 338 351 364 368 378 381 384 414 416 432 448 468 483 504 507 508 546 552 567 576 598 621 624 644 648 672 676 702 728 736 756 762 819 828 832 864 889 896 897 936 966 1008 1014 1016 1053 1092 1104 1134 1143 1152 1183 1196 1242 1248 1288 1296 1344 1352 1404 1449 1456 1472 1512 1521 1524 1638 1651 1656 1664 1728 1778 1794 1863 1872 1932 2016 2028 2032 2093 2106 2184 2208 2268 2286 2366 2392 2457 2484 2496 2576 2592 2667 2688 2691 2704 2808 2898 2912 2921 2944 3024 3042 3048 3276 3302 3312 3429 3456 3549 3556 3588 3726 3744 3851 3864 3887 4032 4056 4064 4186 4212 4347 4368 4416 4536 4563 4572 4732 4784 4914 4953 4968 4992 5152 5184 5334 5382 5408 5616 5796 5824 5842 6048 6084 6096 6279 6552 6604 6624 6858 7098 7112 7176 7371 7452 7488 7702 7728 7774 8001 8064 8073 8112 8128 8372 8424 8694 8736 8763 8832 9072 9126 9144 9464 9568 9828 9906 9936 10287 10304 10368 10647 10668 10764 10816 11232 11553 11557 11592 11648 11661 11684 12096 12168 12192 12558 13041 13104 13208 13248 13689 13716 14196 14224 14352 14742 14859 14904 14976 15404 15456 15548 16002 16146 16224 16256 16744 16848 17388 17472 17526 18144 18252 18288 18837 18928 19136 19656 19812 19872 20447 20574 20608 21294 21336 21463 21528 21632 22464 23106 23114 23184 23322 23368 24003 24192 24219 24336 24384 25116 26082 26208 26289 26416 26496 26957 27209 27378 27432 28392 28448 28704 29484 29718 29808 30808 30912 31096 31941 32004 32292 32448 33488 33696 34659 34671 34776 34944 34983 35052 36288 36504 36576 37674 37856 37973 38272 39312 39624 39744 40894 41148 42588 42672 42926 43056 44577 44928 46212 46228 46368 46644 46736 48006 48438 48672 48768 50063 50232 52164 52416 52578 52832 53914 54418 54756 54864 56511 56784 56896 57408 58968 59436 59616 61341 61616 61824 62192 63882 64008 64389 64584 64896 66976 67392 69318 69342 69552 69966 70104 72009 72576 73008 73152 75348 75712 75946 78624 78867 79248 79488 80871 81627 81788 82296 85176 85344 85852 86112 88573 89154 92424 92456 92736 93288 93472 95823 96012 96876 97344 100126 100464 103977 104013 104328 104832 104949 105156 105664 107828 108836 109512 109728 113022 113568 113792 113919 114816 117936 118872 119232 122682 123232 124384 127764 128016 128778 129168 133731 133952 134784 138636 138684 139104 139932 140208 144018 146016 146304 150189 150241 150696 151424 151892 157248 157734 158496 161742 163254 163576 164592 169533 170352 170688 171704 172224 177146 178308 184023 184848 184912 185472 186576 186944 191646 192024 193167 193752 194688 200252 200928 207954 208026 208656 209898 210312 211328 215656 217672 219024 219456 226044 227136 227838 235872 236601 237744 238464 242613 244881 245364 246464 248768 255528 256032 257556 258336 265719 265811 267462 267904 277272 277368 278208 279864 280416 288036 292032 300378 300482 301392 303784 311931 312039 314496 314847 315468 316992 323484 326508 327152 329184 339066 340704 341376 341757 343408 344448 350441 354292 356616 368046 369696 369824 373152 373888 383292 384048 386334 387504 400504 401856 415908 416052 417312 419796 420624 431312 435344 438048 438912 450567 450723 452088 454272 455676 471744 473202 475488 485226 489077 489762 490728 492928 493649 497536 511056 512064 515112 516672 531438 531622 534924 552069 554544 554736 556416 559728 560832 576072 579501 584064 600756 600964 602784 607568 620011 623862 624078 629694 630936 633984 646968 650819 653016 654304 658368 678132 681408 683514 686816 700882 708584 713232 727839 734643 736092 739392 739648 746304 766584 768096 772668 775008 797157 797433 801008 803712 831816 832104 834624 839592 841248 862624 870688 876096 901134 901446 904176 911352 936117 943488 946404 950976 970452 978154 979524 981456 987298 1022112 1024128 1025271 1030224 1033344 1051323 1062876 1063244 1069848 1104138 1109088 1109472 1119456 1121664 1151449 1152144 1159002 1201512 1201928 1205568 1215136 1240022 1247724 1248156 1259388 1261872 1293936 1301638 1306032 1308608 1316736 1351701 1352169 1356264 1362816 1367028 1373632 1401764 1417168 1426464 1455678 1467231 1469286 1472184 1478784 1479296 1480947 1492608 1533168 1536192 1545336 1550016 1594314 1594866 1602016 1656207 1663632 1664208 1669248 1679184 1682496 1725248 1738503 1741376 1752192 1802268 1802892 1808352 1822704 1860033 1872234 1892808 1901952 1940904 1952457 1956308 1959048 1962912 1974596 2044224 2050542 2060448 2102646 2125752 2126488 2139696 2183517 2203929 2208276 2218176 2218944 2238912 2302898 2304288 2318004 2391471 2392299 2403024 2403856 2411136 2430272 2480044 2495448 2496312 2518776 2523744 2587872 2603276 2612064 2617216 2703402 2704338 2712528 2734056 2747264 2803528 2834336 2852928 2911356 2934462 2938572 2944368 2961894 3066336 3072384 3075813 3090672 3100032 3153969 3188628 3189732 3204032 3312414 3327264 3328416 3358368 3364992 3423539 3450496 3454347 3455543 3477006 3482752 3604536 3605784 3616704 3645408 3720066 3744468 3785616 3881808 3904914 3912616 3918096 3925824 3949192 4055103 4056507 4088448 4101084 4120896 4205292 4251504 4252976 4279392 4367034 4401693 4407858 4416552 4436352 4437888 4442841 4477824 4555733 4605796 4608576 4636008 4782942 4784598 4806048 4807712 4860544 4960088 4990896 4992624 5037552 5047488 5175744 5206552 5224128 5406804 5408676 5425056 5468112 5580099 5607056 5668672 5705856 5822712 5857371 5868924 5877144 5888736 5923788 6132672 6151626 6181344 6307938 6358001 6377256 6379464 6408064 6624828 6654528 6656832 6716736 6847078 6908694 6911086 6954012 7174413 7176897 7209072 7211568 7233408 7290816 7440132 7488936 7571232 7763616 7809828 7825232 7836192 7851648 7898384 8060143 8110206 8113014 8202168 8241792 8410584 8503008 8505952 8558784 8734068 8803386 8815716 8833104 8885682 9111466 9211592 9217152 9272016 9461907 9565884 9569196 9612096 9615424 9920176 9981792 9985248 10075104 10094976 10270617 10351488 10363041 10366629 10413104 10448256 10813608 10817352 10850112 10936224 11160198 11214112 11248771 11337344 11645424 11714742 11737848 11754288 11777472 11847576 12169521 12265344 12303252 12362688 12615876 12716002 12754512 12758928 13205079 13249656 13309056 13313664 13328523 13433472 13667199 13694156 13817388 13822172 13908024 14348826 14353794 14418144 14423136 14581632 14880264 14968837 14977872 15142464 15527232 15619656 15650464 15672384 15796768 16120286 16220412 16226028 16404336 16740297 16821168 17006016 17011904 17117568 17468136 17572113 17606772 17631432 17666208 17771364 18222932 18423184 18544032 18923814 19074003 19131768 19138392 19224192 19230848 19840352 19963584 19970496 20150208 20541234 20726082 20733258 20826208 21530691 21627216 21634704 21700224 21872448 22320396 22428224 22497542 23290848 23429484 23475696 23508576 23554944 23695152 24180429 24339042 24606504 24725376 25231752 25432004 25509024 25517856 26410158 26499312 26657046 27334398 27388312 27634776 27644344 27816048 28385721 28697652 28707588 28836288 28846272 29760528 29937674 29955744 30284928 30811851 31054464 31089123 31099887 31239312 31300928 31344768 31593536 32240572 32440824 32452056 32808672 33480594 33642336 33746313 34012032 34023808 34936272 35144226 35213544 35262864 35332416 35542728 36445864 36846368 37088064 37847628 38148006 38263536 38276784 39615237 39680704 39927168 39940992 39985569 40300416 41001597 41082468 41452164 41466516 41652416 43061382 43254432 43269408 43744896 44506007 44640792 44856448 44906511 44995084 46581696 46858968 46951392 47017152 47390304 48360858 48678084 49213008 50220891 50463504 50864008 51018048 51035712 52716339 52820316 52998624 53314092 54668796 54776624 55269552 55288688 55632096 56771442 57222009 57395304 57415176 57672576 57692544 59521056 59875348 59911488 61623702 62178246 62199774 62478624 62601856 63187072 64481144 64881648 64904112 65617344 66961188 67284672 67492626 69872544 70288452 70427088 70525728 70664832 71085456 72541287 72891728 73692736 74176128 75695256 76296012 76527072 76553568 78741397 79230474 79361408 79971138 82003194 82164936 82654013 82904328 82933032 83304832 86122764 86508864 86538816 89012014 89281584 89813022 89990168 92435553 93163392 93267369 93299661 93717936 93902784 94034304 94780608 96721716 97356168 98426016 100441782 100927008 101238939 101728016 102036096 102071424 104781859 105432678 105640632 105997248 106628184 109337592 109553248 110539104 110577376 111264192 113542884 114444018 114790608 114830352 119042112 119750696 119822976 123004791 123247404 124356492 124399548 124957248 128962288 129763296 129808224 131234688 133518021 133922376 134569344 134719533 134985252 139745088 140576904 140854176 141051456 142170912 145082574 145783456 146234023 147385472 151390512 152592024 153054144 153107136 157482794 158460948 159942276 164006388 164329872 165308026 165808656 165866064 171666027 172245528 173017728 173077632 178024028 178563168 179626044 179980336 184871106 186534738 186599322 187435872 187805568 189561216 193443432 194712336 196852032 200883564 201854016 202477878 203456032 209563718 210865356 211281264 211994496 213256368 217623861 218675184 219106496 221078208 221154752 222528384 227085768 228888036 229581216 229660704 236224191 238084224 239501392 246009582 246494808 247962039 248712984 248799096 249914496 257924576 259526592 259616448 267036042 267844752 269439066 269970504 277306659 279490176 279898983 281153808 281708352 282102912 284341824 290165148 291566912 292468046 302781024 303716817 305184048 306108288 306214272 314345577 314965588 316921896 319884552 328012776 328659744 330616052 331617312 331732128 343332054 344491056 356048056 357126336 359252088 359960672 369014373 369742212 373069476 373198644 374871744 386886864 389424672 393704064 400554063 401767128 403708032 404158599 404955756 406912064 419127436 421730712 422562528 426512736 435247722 437350368 438212992 438702069 442156416 442309504 454171536 457776072 459162432 459321408 472448382 479002784 492019164 492989616 495924078 497425968 497598192 514998081 515849152 519053184 519232896 534072084 535689504 538878132 539941008 554613318 559797966 562307616 563416704 568683648 578578091 580330296 583133824 584936092 605562048 607433634 610368096 628691154 629931176 633843792 639769104 652871583 656025552 657319488 661232104 663234624 663464256 686664108 688982112 708672573 712096112 714252672 718504176 719921344 738028746 739484424 743886117 746138952 746397288 749743488 773773728 778849344 801108126 803534256 808317198 809911512 813824128 838254872 843461424 845125056 853025472 870495444 874700736 877404138 908343072 911150451 915552144 918324864 918642816 943036731 944896764 958005568 984038328 985979232 991848156 994851936 995196384 1023638161 1029996162 1031698304 1068144168 1071379008 1077756264 1079882016 1109226636 1119595932 1124615232 1157156182 1160660592 1169872184 1201662189 1211124096 1212475797 1214867268 1220736192 1257382308 1259862352 1267687584 1279538208 1305743166 1312051104 1314638976 1316106207 1322464208 1326469248 1326928512 1373328216 1377964224 1417345146 1424192224 1437008352 1439842688 1476057492 1478968848 1487772234 1492277904 1492794576 1547547456 1557698688 1602216252 1607068512 1616634396 1619823024 1676509744 1686922848 1690250112 1706050944 1735734273 1740990888 1749401472 1754808276 1816686144 1822300902 1831104288 1886073462 1889793528 1901042299 1916011136 1968076656 1971958464 1983696312 1989703872 1990392768 2047276322 2059992324 2126017719 2136288336 2142758016 2155512528 2159764032 2218453272 2231658351 2239191864 2249230464 2314312364 2321321184 2339744368 2403324378 2424951594 2429734536 2441472384 2514764616 2519724704 2535375168 2559076416 2611486332 2624102208 2632212414 2644928416 2746656432 2755928448 2829110193 2834690292 2848384448 2874016704 2952114984 2957937696 2975544468 2984555808 2985589152 3070914483 3095094912 3204432504 3214137024 3233268792 3239646048 3353019488 3373845696 3471468546 3481981776 3509616552 3604986567 3633372288 3644601804 3662208576 3772146924 3779587056 3802084598 3936153312 3943916928 3948318621 3967392624 3979407744 3980785536 4094552644 4119984648 4252035438 4272576672 4311025056 4319528064 4436906544 4463316702 4478383728 4628624728 4642642368 4679488736 4806648756 4849903188 4859469072 5029529232 5039449408 5070750336 5118152832 5207202819 5222972664 5248204416 5264424828 5289856832 5493312864 5658220386 5669380584 5696768896 5703126897 5748033408 5904229968 5915875392 5951088936 5969111616 5971178304 6141828966 6378053157 6408865008 6428274048 6466537584 6479292096 6694975053 6706038976 6747691392 6942937092 6963963552 7019233104 7209973134 7289203608 7324417152 7544293848 7559174112 7604169196 7872306624 7896637242 7934785248 8189105288 8239969296 8487330579 8504070876 8545153344 8622050112 8873813088 8926633404 8956767456 9212743449 9257249456 9285284736 9358977472 9613297512 9699806376 9718938144 10059058464 10078898816 10414405638 10445945328 10528849656 10579713664 10986625728 11316440772 11338761168 11406253794 11808459936 11831750784 11844955863 11902177872 11938223232 11942356608 12283657932 12756106314 12817730016 12933075168 12958584192 13307296093 13389950106 13412077952 13885874184 13927927104 14038466208 14419946268 14578407216 15088587696 15118348224 15208338392 15621608457 15744613248 15793274484 15869570496 16378210576 16479938592 16974661158 17008141752 17090306688 17109380691 17244100224 17747626176 17853266808 17913534912 18425486898 18514498912 18717954944 19226595024 19399612752 19437876288 20118116928 20828811276 20891890656 21057699312 21973251456 22632881544 22677522336 22812507588 23616919872 23689911726 23804355744 24567315864 25512212628 25635460032 25866150336 26614592186 26779900212 27638230347 27771748368 27855854208 28076932416 28839892536 29156814432 30177175392 30236696448 30416676784 31243216914 31586548968 31739140992 32756421152 32959877184 33949322316 34016283504 34218761382 35495252352 35706533616 35827069824 36850973796 37028997824 38453190048 38799225504 38875752576 39921888279 40236233856 41657622552 41783781312 42115398624 45265763088 45355044672 45625015176 46864825371 47233839744 47379823452 47608711488 49134631728 51024425256 51270920064 51328142073 51732300672 53229184372 53559800424 55276460694 55543496736 56153864832 57679785072 58313628864 60354350784 60833353568 62486433828 63173097936 65512842304 65919754368 67898644632 68032567008 68437522764 71413067232 73701947592 74057995648 76906380096 77598451008 79843776558 82914691041 83315245104 83567562624 84230797248 90531526176 90710089344 91250030352 93729650742 94759646904 95217422976 98269263456 102048850512 102656284146 106458368744 107119600848 110552921388 111086993472 115359570144 116627257728 119765664837 120708701568 121666707136 124972867656 126346195872 131025684608 135797289264 136065134016 136875045528 142826134464 147403895184 153812760192 153984426219 155196902016 159687553116 165829382082 166630490208 168461594496 181063052352 182500060704 187459301484 189519293808 196538526912 204097701024 205312568292 212916737488 214239201696 221105842776 222173986944 230719140288 239531329674 243333414272 249945735312 252692391744 271594578528 272130268032 273750091056 285652268928 294807790368 307968852438 319375106232 331658764164 333260980416 359296994511 362126104704 365000121408 374918602968 379038587616 393077053824 408195402048 410625136584 425833474976 428478403392 442211685552 461438280576 479062659348 499891470624 505384783488 543189157056 547500182112 589615580736 615937704876 638750212464 663317528328 666521960832 718593989022 730000242816 749837205936 758077175232 816390804096 821250273168 851666949952 856956806784 884423371104 958125318696 999782941248 1077890983533 1086378314112 1095000364224 1179231161472 1231875409752 1277500424928 1326635056656 1437187978044 1499674411872 1516154350464 1642500546336 1703333899904 1768846742208 1916250637392 1999565882496 2155781967066 2190000728448 2463750819504 2555000849856 2653270113312 2874375956088 2999348823744 3285001092672 3537693484416 3832501274784 4311563934132 4927501639008 5110001699712 5306540226624 5748751912176 5998697647488 6570002185344 7665002549568 8623127868264 9855003278016 10613080453248 11497503824352 15330005099136 17246255736528 19710006556032 22995007648704 34492511473056 45990015297408 68985022946112 137970045892224
- Sum of all divisors σ(n): 534532501831680
- Sum of proper divisors (its aliquot sum) s(n): 396562455939456
- 137970045892224 is an abundant number, because the sum of its proper divisors (396562455939456) is greater than itself. Its abundance is 258592410047232
Bases of 137970045892224
- Binary: 111110101111011101001111001001100110110100000002
- Hexadecimal: 0x7D7BA7933680
- Base-36: 1CWMKB1K00
Squares and roots of 137970045892224
- 137970045892224 squared (1379700458922242) is 19035733563502396656223666176
- 137970045892224 cubed (1379700458922243) is 2626361033348574367229391106570202250215424
-
The
square root of 137970045892224 is 11746065.1237860929 -
The
cube root of 137970045892224 is 51672.7533080883
Scales and comparisons
How big is 137970045892224?- 137,970,045,892,224 seconds is equal to 4,387,020 years, 35 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,970,045,892,224 would take you about ten million, nine hundred sixty-seven thousand, five hundred fifty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137970045892224 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137970045892224
- 137970045892224 backwards is 422298540079731
- 137970045892224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137970045892224's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137970045892224 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 137970045892224 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137970045892224/
Chicago style:
Numbermatics. 2024. "Number 137970045892224 - Facts about the integer". https://numbermatics.com/n/137970045892224/
The information we have on file for 137970045892224 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137970045892224, math, Factors of 137970045892224, curriculum, school, college, exams, university, Prime factorization of 137970045892224, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred seventy billion, forty-five million, eight hundred ninety-two thousand, two hundred twenty-four.