138349947753600
138,349,947,753,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138349947753600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138349947753600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138349947753600:
27 × 3 × 52 × 11 × 172 × 41 × 110569
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 17 × 17 × 41 × 110569)See below for interesting mathematical facts about the number 138349947753600 from the Numbermatics database.
Names of 138349947753600
- Cardinal: 138349947753600 can be written as One hundred thirty-eight trillion, three hundred forty-nine billion, nine hundred forty-seven million, seven hundred fifty-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.383499477536 × 1014
Factors of 138349947753600
Divisors of 138349947753600
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 41 44 48 50 51 55 60 64 66 68 75 80 82 85 88 96 100 102 110 120 123 128 132 136 150 160 164 165 170 176 187 192 200 204 205 220 240 246 255 264 272 275 289 300 320 328 330 340 352 374 384 400 408 410 425 440 451 480 492 510 528 544 550 561 578 600 615 640 656 660 680 697 704 748 800 816 820 825 850 867 880 902 935 960 984 1020 1025 1056 1088 1100 1122 1156 1200 1230 1275 1312 1320 1353 1360 1394 1408 1445 1496 1600 1632 1640 1650 1700 1734 1760 1804 1870 1920 1968 2040 2050 2091 2112 2176 2200 2244 2255 2312 2400 2460 2550 2624 2640 2706 2720 2788 2805 2890 2992 3075 3179 3200 3264 3280 3300 3400 3468 3485 3520 3608 3740 3936 4080 4100 4182 4224 4335 4400 4488 4510 4624 4675 4800 4920 5100 5248 5280 5412 5440 5576 5610 5780 5984 6150 6358 6528 6560 6600 6765 6800 6936 6970 7040 7216 7225 7480 7667 7872 8160 8200 8364 8670 8800 8976 9020 9248 9350 9537 9600 9840 10200 10455 10560 10824 10880 11152 11220 11275 11560 11849 11968 12300 12716 13120 13200 13530 13600 13872 13940 14025 14432 14450 14960 15334 15744 15895 16320 16400 16728 17340 17425 17600 17952 18040 18496 18700 19074 19680 20400 20910 21120 21648 21675 22304 22440 22550 23001 23120 23698 23936 24600 25432 26240 26400 27060 27200 27744 27880 28050 28864 28900 29920 30668 31790 32640 32800 33456 33825 34680 34850 35200 35547 35904 36080 36992 37400 38148 38335 39360 40800 41820 43296 43350 44608 44880 45100 46002 46240 47396 47685 49200 50864 52275 52800 54120 54400 55488 55760 56100 57728 57800 59245 59840 61336 63580 65600 66912 67650 69360 69700 71094 71808 72160 74800 76296 76670 78720 79475 81600 83640 86592 86700 89216 89760 90200 92004 92480 94792 95370 98400 101728 104550 105600 108240 110569 110976 111520 112200 115005 115600 118490 119680 122672 127160 130339 131200 133824 135300 138720 139400 142188 144320 149600 152592 153340 158950 163200 167280 173184 173400 177735 179520 180400 184008 184960 189584 190740 191675 196800 203456 209100 216480 221138 223040 224400 230010 231200 236980 238425 245344 254320 260678 267648 270600 277440 278800 284376 288640 296225 299200 305184 306680 317900 331707 334560 346800 355470 359040 360800 368016 379168 381480 383350 391017 393600 406912 418200 432960 442276 446080 448800 460020 462400 473960 476850 490688 508640 521356 541200 552845 554880 557600 568752 575025 592450 598400 610368 613360 635800 651695 663414 669120 693600 710940 721600 736032 758336 762960 766700 782034 836400 865920 884552 888675 897600 920040 924800 947920 953700 981376 1017280 1042712 1082400 1105690 1115200 1137504 1150050 1184900 1216259 1220736 1226720 1271600 1303390 1326828 1338240 1387200 1421880 1443200 1472064 1516672 1525920 1533400 1564068 1658535 1672800 1769104 1777350 1795200 1840080 1879673 1895840 1907400 1955085 2034560 2085424 2164800 2211380 2230400 2275008 2300100 2369800 2432518 2453440 2543200 2606780 2653656 2764225 2774400 2843760 2944128 3051840 3066800 3128136 3258475 3317070 3345600 3538208 3554700 3648777 3680160 3759346 3791680 3814800 3910170 4170848 4329600 4422760 4533329 4550016 4600200 4739600 4865036 4906880 5086400 5213560 5307312 5528450 5639019 5687520 6081295 6103680 6133600 6256272 6516950 6634140 6691200 7076416 7109400 7297554 7360320 7518692 7583360 7629600 7820340 8292675 8341696 8845520 9066658 9200400 9398365 9479200 9730072 9775425 10172800 10427120 10614624 11056900 11278038 11375040 12162590 12267200 12512544 13033900 13268280 13599987 14152832 14218800 14595108 14720640 15037384 15259200 15640680 16585350 16683392 17691040 18133316 18243885 18400800 18796730 18958400 19460144 19550850 20676403 20854240 21229248 22113800 22556076 22666645 22750080 24325180 24534400 25025088 26067800 26536560 27199974 28195095 28437600 29190216 30074768 30406475 30518400 31281360 31954441 33170700 35382080 36266632 36487770 36801600 37593460 37916800 38920288 39101700 41352806 41708480 42458496 44227600 45112152 45333290 46991825 48650360 49866619 50050176 52135600 53073120 54399948 56390190 56875200 58380432 60149536 60812950 62029209 62562720 63908882 66341400 67999935 70764160 72533264 72975540 73603200 75186920 77066593 77840576 78203400 82705612 83416960 88455200 90224304 90666580 91219425 93983650 95863323 97300720 99733238 103382015 104271200 106146240 108799896 112780380 113333225 113750400 116760864 120299072 121625900 124058418 125125440 127817764 132682800 135999870 140975475 145066528 145951080 149599857 150373840 154133186 155681152 156406800 159772205 165411224 176910400 180448608 181333160 182438850 187967300 191726646 194601440 199466476 206764030 208542400 212292480 217599792 225560760 226666450 231199779 233521728 240598144 243251800 248116836 249333095 250250880 255635528 265365600 271999740 281950950 290133056 291902160 299199714 300747680 308266372 310146045 312813600 319544410 330822448 339999675 351498851 353820800 360897216 362666320 364877700 375934600 383453292 385332965 389202880 398932952 413528060 417084800 435199584 451121520 453332900 462399558 467043456 479316615 486503600 496233672 498666190 511271056 516910075 530731200 543999480 563901900 580266112 583804320 598399428 601495360 616532744 620292090 625627200 639088820 661644896 679999350 702997702 721794432 725332640 729755400 747999285 751869200 766906584 770665930 778405760 797865904 798861025 827056120 847732523 870399168 902243040 906665800 924799116 958633230 973007200 992467344 997332380 1022542112 1033820150 1054496553 1061462400 1087998960 1127803800 1155998895 1167608640 1196798856 1202990720 1233065488 1240584180 1246665475 1251254400 1278177640 1310132081 1323289792 1359998700 1405995404 1450665280 1459510800 1495998570 1503738400 1533813168 1541331860 1550730225 1595731808 1597722050 1654112240 1695465046 1740798336 1757494255 1804486080 1813331600 1849598232 1917266460 1926664825 1946014400 1984934688 1994664760 2045084224 2067640300 2108993106 2175997920 2255607600 2311997790 2335217280 2393597712 2396583075 2466130976 2481168360 2493330950 2543197569 2556355280 2620264162 2646579584 2719997400 2811990808 2901330560 2919021600 2991997140 3007476800 3067626336 3082663720 3101460450 3191463616 3195444100 3308224480 3390930092 3514988510 3608972160 3626663200 3699196464 3739996425 3834532920 3853329650 3892028800 3930396243 3969869376 3989329520 4090168448 4135280600 4217986212 4238662615 4351995840 4511215200 4623995580 4787195424 4793166150 4932261952 4962336720 4986661900 5086395138 5112710560 5240528324 5272482765 5439994800 5623981616 5779994475 5838043200 5983994280 6014953600 6135252672 6165327440 6202920900 6382927232 6390888200 6550660405 6616448960 6781860184 7029977020 7253326400 7398392928 7479992850 7669065840 7706659300 7860792486 7939738752 7978659040 8270561200 8435972424 8477325230 8703991680 8787471275 9022430400 9247991160 9574390848 9586332300 9864523904 9924673440 9973323800 10172790276 10225421120 10481056648 10544965530 10879989600 11247963232 11559988950 11676086400 11967988560 12270505344 12330654880 12405841800 12715987845 12781776400 13101320810 13232897920 13563720368 14059954040 14411452891 14506652800 14796785856 14959985700 15338131680 15413318600 15721584972 15957318080 16541122400 16871944848 16954650460 17574942550 18044860800 18495982320 19148781696 19172664600 19651981215 19849346880 19946647600 20345580552 20450842240 20962113296 21089931060 21193313075 21759979200 22495926464 23119977900 23935977120 24661309760 24811683600 25431975690 25563552800 26202641620 26362413825 27127440736 28119908080 28822905782 29593571712 29919971400 30676263360 30826637200 31443169944 31914636160 32753302025 33082244800 33743889696 33909300920 35149885100 36991964640 38345329200 39303962430 39698693760 39893295200 40691161104 41924226592 42179862120 42386626150 43234358673 43519958400 44991852928 46239955800 47871954240 49322619520 49623367200 50863951380 51127105600 52405283240 52724827650 54254881472 56239816160 57645811564 59839942800 61352526720 61653274400 62886339888 63579939225 65506604050 66164489600 67487779392 67818601840 70299770200 72057264455 73983929280 76690658400 78607924860 79786590400 81382322208 83848453184 84359724240 84773252300 86468717346 92479911600 95743908480 98259906075 99246734400 101727902760 102254211200 104810566480 105449655300 108509762944 112479632320 115291623128 119679885600 123306548800 125772679776 127159878450 131013208100 134975558784 135637203680 140599540400 144114528910 147967858560 153381316800 157215849720 159573180800 162764644416 167696906368 168719448480 169546504600 172937434692 184959823200 196519812150 198493468800 203455805520 209621132960 210899310600 216171793365 224959264640 230583246256 239359771200 246613097600 251545359552 254319756900 262026416200 271274407360 281199080800 288229057820 306762633600 314431699440 325529288832 337438896960 339093009200 345874869384 360286322275 369919646400 393039624300 406911611040 419242265920 421798621200 432343586730 461166492512 478719542400 503090719104 508639513800 524052832400 542548814720 562398161600 576458115640 628863398880 674877793920 678186018400 691749738768 720572644550 739839292800 786079248600 813823222080 838484531840 843597242400 864687173460 922332985024 1017279027600 1048105664800 1080858966825 1124796323200 1152916231280 1257726797760 1356372036800 1383499477536 1441145289100 1572158497200 1627646444160 1687194484800 1729374346920 1844665970048 2034558055200 2096211329600 2161717933650 2305832462560 2515453595520 2712744073600 2766998955072 2882290578200 3144316994400 3374388969600 3458748693840 4069116110400 4192422659200 4323435867300 4611664925120 5533997910144 5764581156400 6288633988800 6917497387680 8138232220800 8646871734600 9223329850240 11529162312800 12577267977600 13834994775360 17293743469200 23058324625600 27669989550720 34587486938400 46116649251200 69174973876800 138349947753600
- Sum of all divisors σ(n): 540963654235200
- Sum of proper divisors (its aliquot sum) s(n): 402613706481600
- 138349947753600 is an abundant number, because the sum of its proper divisors (402613706481600) is greater than itself. Its abundance is 264263758728000
Bases of 138349947753600
- Binary: 111110111010100000110110111110110010100100000002
- Hexadecimal: 0x7DD41B7D9480
- Base-36: 1D1H36SWAO
Squares and roots of 138349947753600
- 138349947753600 squared (1383499477536002) is 19140708043423849686312960000
- 138349947753600 cubed (1383499477536003) is 2648115957774600884161577765018566656000000
-
The
square root of 138349947753600 is 11762225.4592232673 -
The
cube root of 138349947753600 is 51720.1369868889
Scales and comparisons
How big is 138349947753600?- 138,349,947,753,600 seconds is equal to 4,399,100 years, 20 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 138,349,947,753,600 would take you about ten million, nine hundred ninety-seven thousand, seven hundred fifty 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 138349947753600 cubic inches would be around 4310 feet tall.
Recreational maths with 138349947753600
- 138349947753600 backwards is 006357749943831
- The number of decimal digits it has is: 15
- The sum of 138349947753600's digits is 69
- More coming soon!
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The information we have on file for 138349947753600 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!
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