137984262816400
137,984,262,816,400 is an even composite number composed of seven prime numbers multiplied together.
137984262816400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 137984262816400:
24 × 52 × 72 × 112 × 13 × 672 × 997
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 67 × 67 × 997)See below for interesting mathematical facts about the number 137984262816400 from the Numbermatics database.
Names of 137984262816400
- Cardinal: 137984262816400 can be written as One hundred thirty-seven trillion, nine hundred eighty-four billion, two hundred sixty-two million, eight hundred sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.379842628164 × 1014
Factors of 137984262816400
Divisors of 137984262816400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 44 49 50 52 55 56 65 67 70 77 80 88 91 98 100 104 110 112 121 130 134 140 143 154 175 176 182 196 200 208 220 242 245 260 268 275 280 286 308 325 335 350 364 385 392 400 440 455 469 484 490 520 536 539 550 560 572 605 616 637 650 670 700 715 728 737 770 784 847 871 880 910 938 968 980 997 1001 1040 1072 1078 1100 1144 1210 1225 1232 1274 1300 1340 1400 1430 1456 1474 1540 1573 1675 1694 1742 1820 1876 1925 1936 1960 1994 2002 2156 2200 2275 2288 2345 2420 2450 2548 2600 2680 2695 2800 2860 2948 3025 3080 3146 3185 3283 3350 3388 3484 3575 3640 3685 3752 3850 3920 3988 4004 4235 4312 4355 4400 4489 4550 4690 4840 4900 4985 5005 5096 5159 5200 5360 5390 5720 5896 5929 6050 6097 6160 6292 6370 6566 6700 6776 6968 6979 7007 7150 7280 7370 7504 7700 7865 7976 8008 8107 8470 8624 8710 8978 9100 9380 9581 9680 9800 9970 10010 10192 10318 10780 10967 11011 11440 11725 11792 11858 12100 12194 12584 12740 12961 13132 13400 13475 13552 13936 13958 14014 14300 14740 15400 15730 15925 15952 16016 16214 16415 16940 17420 17956 18200 18425 18760 19162 19600 19940 20020 20636 21175 21560 21775 21934 22022 22445 23450 23716 24200 24388 24925 25025 25168 25480 25795 25922 26264 26800 26950 27916 28028 28600 29480 29645 30485 30800 31423 31460 31850 32428 32830 33880 34840 34895 35035 35912 36113 36400 36850 37520 38324 39325 39880 40040 40535 41272 42350 42679 43120 43550 43868 44044 44890 46900 47432 47905 48400 48776 48853 49379 49850 50050 50960 51590 51844 52528 53900 54835 55055 55832 56056 56749 57200 58357 58960 59290 60970 62846 62920 63700 64805 64856 65660 66799 67067 67760 69680 69790 70070 71824 72226 73700 76648 76769 77077 78650 79760 80080 81070 82075 82544 84700 85358 87100 87736 88088 89780 90727 93800 94864 95810 97552 97706 98758 99700 100100 103180 103688 105391 107800 109670 110110 111664 112112 112225 113498 116714 118580 120637 121940 125692 125840 127400 128975 129610 129712 131320 133598 134134 139580 140140 142571 144452 147400 148225 152425 153296 153538 154154 157115 157300 162140 164150 169400 170716 174200 174475 175175 175472 176176 179560 180565 181454 187600 191620 195412 197516 199400 200200 202675 206360 207376 210782 213395 215600 219340 219961 220220 224450 226996 233428 237160 239525 241274 243880 244265 246895 251384 254800 257950 259220 262640 267196 268268 274175 275275 279160 280280 283745 285142 288904 291785 294800 296450 304850 307076 308308 314230 314600 324025 324280 328300 333995 335335 338800 341432 345653 348400 348950 350350 359120 361130 362908 383240 383845 385385 390824 395032 397243 398800 400400 405350 408499 412720 421564 426790 438680 439922 440440 448900 453635 453992 466856 467593 469469 474320 479050 482548 487760 488530 493790 502768 515900 518440 526955 534392 536536 537383 543169 548350 550550 558320 560560 567490 570284 577808 583570 592900 603185 609700 614152 616616 628460 629200 635089 641927 648050 648560 656600 667990 670670 682864 691306 697900 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224674450 226315012 228759440 232727716 236448520 238806425 241957100 243148360 246154315 247141895 250629848 251635384 254035600 256770800 257176150 258207950 261852080 266152810 267463196 274449175 279439160 282447880 282893765 285949300 288037288 290909645 293915600 295094800 295560650 303935450 304174640 307383076 313287310 313656200 314544230 323307160 327315100 334328995 337783600 340407704 344616041 345998653 347354800 349298950 353059850 358042640 359479120 360046610 380218300 382090280 384228845 393846904 395427032 396051271 399198800 404133950 407273503 411481840 413132720 420299308 425509630 425844496 438602234 439118680 447553300 449348900 452630024 465455432 468060593 472897040 477612850 483914200 486296720 492308630 494283790 501259696 503270768 514352300 516415900 525374135 532305620 534926392 541539493 548898350 558878320 564895760 565787530 571898600 576074576 581819290 591121300 607870900 614766152 626574620 627312400 629088460 640001219 646614320 654630200 665382025 668657990 680815408 689232082 691997306 698597900 706119700 720093220 735523789 760436600 764180560 768457690 783218275 786360575 787693808 790854064 792102542 808267900 814547006 840598616 851019260 877204468 878237360 895106600 898697800 900116525 905260048 930910864 936121186 955225700 967828400 984617260 988567580 1028704600 1032831800 1050748270 1063774075 1064611240 1069852784 1083078986 1096505585 1097796700 1131575060 1143797200 1163638580 1182242600 1215741800 1229532304 1230771575 1235709475 1253149240 1258176920 1280002438 1309260400 1330764050 1337315980 1378464164 1383994612 1397195800 1412239400 1414468825 1440186440 1454548225 1471047578 1520873200 1536915380 1566436550 1572721150 1584205084 1616535800 1629094012 1671644975 1681197232 1702038520 1723080205 1729993265 1754408936 1790213200 1797395600 1800233050 1872242372 1910451400 1921144225 1969234520 1977135160 1980256355 2036367515 2057409200 2065663600 2101496540 2127548150 2129222480 2166157972 2193011170 2195593400 2263150120 2327277160 2340302965 2364485200 2412312287 2431483600 2461543150 2471418950 2506298480 2516353840 2560004876 2626870675 2661528100 2674631960 2707697465 2756928328 2767989224 2794391600 2824478800 2828937650 2850914521 2880372880 2909096450 2942095156 3073830760 3132873100 3145442300 3168410168 3200006095 3233071600 3258188024 3343289950 3404077040 3446160410 3459986530 3508817872 3600466100 3677618945 3744484744 3790776451 3820902800 3842288450 3938469040 3954270320 3960512710 4072735030 4202993080 4255096300 4332315944 4386022340 4391186800 4480008533 4526300240 4654554320 4680605930 4824624574 4923086300 4942837900 5120009752 5148666523 5253741350 5323056200 5349263920 5415394930 5482527925 5513856656 5535978448 5657875300 5701829042 5818192900 5884190312 6147661520 6265746200 6290884600 6336820336 6400012190 6516376048 6686579900 6892320820 6919973060 7040013409 7200932200 7355237890 7488969488 7581552902 7684576900 7921025420 8145470060 8405986160 8510192600 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37907764510 38596996592 39605127100 40727350300 41189332184 42029930800 43323159440 43860223400 44800085330 45614632336 46806059300 48246245740 49280093863 51200097520 51486665230 53070870314 54153949300 56320107272 57018290420 58841903120 60307807175 60652423216 62720119462 64000121900 68923208200 69199730600 70400134090 71272863025 71680136528 73552378900 75815529020 79210254200 81454700600 82378664368 87720446800 89600170660 93612118600 94769411275 96492491480 98560187726 102973330460 106141740628 108307898600 112000213325 112640214544 114036580840 120615614350 125440238924 128000243800 128716663075 132677175785 137846416400 138399461200 140800268180 142545726050 147104757800 151631058040 156800298655 158420508400 162909401200 176000335225 179200341320 187224237200 189538822550 192984982960 197120375452 205946660920 212283481256 216615797200 224000426650 228073161680 241231228700 246400469315 250880477848 256000487600 257433326150 265354351570 281600536360 285091452100 294209515600 303262116080 313600597310 344960657041 352000670450 358400682640 379077645100 394240750904 411893321840 424566962512 448000853300 482462457400 492800938630 501760955696 514866652300 530708703140 563201072720 570182904200 627201194620 663385878925 689921314082 704001340900 758155290200 784001493275 788481501808 896001706600 964924914800 985601877260 1029733304600 1061417406280 1140365808400 1232002346575 1254402389240 1326771757850 1379842628164 1408002681800 1516310580400 1568002986550 1724803285205 1792003413200 1971203754520 2059466609200 2122834812560 2464004693150 2508804778480 2653543515700 2759685256328 2816005363600 3136005973100 3449606570410 3942407509040 4928009386300 5307087031400 5519370512656 6272011946200 6899213140820 8624016426025 9856018772600 10614174062800 12544023892400 13798426281640 17248032852050 19712037545200 27596852563280 34496065704100 68992131408200 137984262816400
- Sum of all divisors σ(n): 463860604747764
- Sum of proper divisors (its aliquot sum) s(n): 325876341931364
- 137984262816400 is an abundant number, because the sum of its proper divisors (325876341931364) is greater than itself. Its abundance is 187892079114964
Bases of 137984262816400
- Binary: 111110101111110111101101111100001000010100100002
- Hexadecimal: 0x7D7EF6F84290
- Base-36: 1CWT3FFKWG
Squares and roots of 137984262816400
- 137984262816400 squared (1379842628164002) is 19039656784985347660108960000
- 137984262816400 cubed (1379842628164003) is 2627173005753471676955599514900474944000000
-
The
square root of 137984262816400 is 11746670.2863577473 -
The
cube root of 137984262816400 is 51674.5280952161
Scales and comparisons
How big is 137984262816400?- 137,984,262,816,400 seconds is equal to 4,387,472 years, 38 weeks, 4 days, 21 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,984,262,816,400 would take you about ten million, nine hundred sixty-eight thousand, six hundred eighty-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 137984262816400 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137984262816400
- 137984262816400 backwards is 004618262489731
- The number of decimal digits it has is: 15
- The sum of 137984262816400's digits is 61
- More coming soon!
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"Number 137984262816400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 137984262816400 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/137984262816400/
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The information we have on file for 137984262816400 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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