137983862016
137,983,862,016 is an even composite number composed of six prime numbers multiplied together.
137983862016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137983862016:
28 × 33 × 73 × 112 × 13 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 13 × 37)See below for interesting mathematical facts about the number 137983862016 from the Numbermatics database.
Names of 137983862016
- Cardinal: 137983862016 can be written as One hundred thirty-seven billion, nine hundred eighty-three million, eight hundred sixty-two thousand and sixteen.
Scientific notation
- Scientific notation: 1.37983862016 × 1011
Factors of 137983862016
Divisors of 137983862016
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 37 39 42 44 48 49 52 54 56 63 64 66 72 74 77 78 84 88 91 96 98 99 104 108 111 112 117 121 126 128 132 143 144 147 148 154 156 168 176 182 189 192 196 198 208 216 222 224 231 234 242 252 256 259 264 273 286 288 294 296 297 308 312 333 336 343 351 352 363 364 378 384 392 396 407 416 429 432 441 444 448 462 468 481 484 504 518 528 539 546 572 576 588 592 594 616 624 637 666 672 686 693 702 704 726 728 756 768 777 784 792 814 819 832 847 858 864 882 888 896 924 936 962 968 999 1001 1008 1029 1036 1056 1078 1089 1092 1144 1152 1176 1184 1188 1221 1232 1248 1274 1287 1323 1332 1344 1372 1386 1404 1408 1443 1452 1456 1512 1554 1568 1573 1584 1617 1628 1638 1664 1694 1716 1728 1764 1776 1792 1813 1848 1872 1911 1924 1936 1998 2002 2016 2058 2072 2079 2112 2156 2178 2184 2288 2304 2331 2352 2368 2376 2442 2457 2464 2496 2541 2548 2574 2646 2664 2688 2744 2772 2808 2816 2849 2886 2904 2912 3003 3024 3087 3108 3136 3146 3168 3234 3256 3267 3276 3328 3367 3388 3432 3456 3528 3552 3626 3663 3696 3744 3773 3822 3848 3861 3872 3996 4004 4032 4116 4144 4158 4224 4312 4329 4356 4368 4459 4477 4576 4662 4704 4719 4736 4752 4851 4884 4914 4928 4992 5082 5096 5148 5291 5292 5328 5376 5439 5488 5544 5616 5698 5733 5772 5808 5824 5929 6006 6048 6174 6216 6272 6292 6336 6468 6512 6534 6552 6734 6776 6864 6912 6993 7007 7056 7104 7252 7326 7392 7488 7546 7623 7644 7696 7722 7744 7992 8008 8064 8232 8288 8316 8448 8547 8624 8658 8712 8736 8918 8954 9009 9152 9261 9324 9408 9438 9472 9504 9702 9768 9828 9856 9984 10101 10164 10192 10296 10582 10584 10656 10878 10976 10989 11011 11088 11232 11319 11396 11466 11544 11616 11648 11858 12012 12096 12348 12432 12544 12584 12672 12691 12936 12987 13024 13068 13104 13377 13431 13468 13552 13728 13986 14014 14112 14157 14208 14504 14553 14652 14784 14976 15092 15246 15288 15392 15444 15488 15873 15984 16016 16128 16317 16464 16576 16632 17094 17199 17248 17316 17424 17472 17787 17836 17908 18018 18304 18522 18648 18816 18876 19008 19404 19536 19656 19712 19943 20202 20328 20384 20592 21021 21164 21168 21312 21756 21952 21978 22022 22176 22464 22638 22792 22869 22932 23088 23232 23296 23569 23716 24024 24192 24696 24864 25168 25344 25382 25641 25872 25974 26048 26136 26208 26754 26862 26936 27027 27104 27456 27972 28028 28224 28314 28416 29008 29106 29304 29568 29952 30184 30303 30492 30576 30784 30888 30976 31339 31746 31968 32032 32634 32928 33033 33152 33264 33957 34188 34398 34496 34632 34848 34944 35574 35672 35816 36036 36608 37037 37044 37296 37632 37752 38016 38073 38808 39072 39312 39886 40131 40293 40404 40656 40768 41184 41503 42042 42328 42336 42471 42624 43512 43904 43956 44044 44352 44928 45276 45584 45738 45864 46176 46464 47138 47432 47619 48048 48384 48951 49049 49392 49728 50336 50764 51282 51744 51948 52096 52272 52416 53361 53508 53724 53872 54054 54208 54912 55944 56056 56448 56628 58016 58201 58212 58608 59136 59829 60368 60606 60984 61152 61568 61776 62678 63063 63492 63936 64064 65268 65856 66066 66304 66528 67914 68376 68796 68992 69264 69696 69888 70707 71148 71344 71632 72072 74074 74088 74592 75504 76032 76146 76923 77077 77616 78144 78624 79772 80262 80586 80808 81312 81536 82368 83006 84084 84656 84672 84942 85248 87024 87808 87912 88088 88704 89856 90552 90909 91168 91476 91728 92352 92928 94017 94276 94864 95238 96096 97902 98098 98784 99099 99456 100672 101528 101871 102564 103488 103896 104192 104544 104832 106722 107016 107448 107744 108108 108416 109824 111111 111888 112112 112896 113256 114219 116032 116402 116424 117216 119658 120393 120736 120879 121212 121968 122304 123136 123552 124509 125356 126126 126984 127872 128128 130536 131712 132132 133056 135828 136752 137592 137984 138528 139392 139601 141414 142296 142688 142857 143264 144144 147147 148148 148176 149184 151008 152292 153846 154154 155232 156288 157248 159544 160083 160524 161172 161616 162624 163072 164736 164983 166012 168168 169312 169344 169884 174048 174603 175824 176176 177408 179487 181104 181818 182336 182952 183456 184704 188034 188552 189189 189728 190476 192192 195804 196196 197568 198198 198912 201344 203056 203742 205128 206976 207792 209088 209664 212121 213444 214032 214896 215488 216216 216832 219373 222222 223776 224224 226512 228438 231231 232064 232804 232848 234432 239316 240786 241472 241758 242424 243936 244608 247104 249018 250712 252252 253968 255744 256256 259259 261072 263424 264264 266112 271656 273504 275184 277056 278784 279202 282051 282828 284592 285376 285714 286528 288288 294294 296296 296352 297297 298368 302016 304584 307692 308308 310464 312576 314496 319088 320166 321048 322344 323232 325248 329472 329966 332024 333333 336336 338624 338688 339768 342657 348096 349206 351648 352352 358974 362208 363636 364672 365904 366912 369408 373527 376068 377104 378378 379456 380952 384384 391608 392392 395136 396396 402688 406112 407407 407484 410256 413952 415584 418176 418803 424242 426888 428064 429792 430976 432432 438746 441441 444444 447552 448448 453024 456876 462462 464128 465608 465696 468864 478632 481572 482944 483516 484848 487872 489216 494208 494949 498036 501424 504504 507936 518518 522144 523809 528528 532224 538461 539539 543312 547008 550368 554112 558404 564102 565656 569184 570752 571428 573056 576576 588588 592592 592704 594594 596736 604032 609168 615384 616616 620928 628992 636363 638176 640332 642096 644688 646464 650496 658119 659932 664048 666666 672672 677248 679536 685314 693693 696192 698412 703296 704704 717948 724416 727272 729344 731808 733824 747054 752136 754208 756756 758912 761904 768768 777777 783216 784784 790272 792792 812224 814814 814968 820512 831168 836352 837606 846153 848484 853776 856128 859584 861952 864864 877492 882882 888888 895104 896896 906048 913752 924924 931216 931392 937728 957264 963144 965888 967032 969696 975744 988416 989898 996072 999999 1002848 1009008 1015872 1037036 1044288 1047618 1057056 1076922 1079078 1086624 1094016 1100736 1108224 1116808 1120581 1128204 1131312 1138368 1141504 1142856 1146112 1153152 1177176 1185184 1185408 1189188 1208064 1218336 1222221 1230768 1233232 1241856 1256409 1272726 1276352 1280664 1284192 1289376 1292928 1316238 1319864 1324323 1328096 1333332 1345344 1354496 1359072 1370628 1387386 1392384 1396824 1406592 1409408 1435896 1448832 1454544 1463616 1467648 1484847 1494108 1504272 1508416 1513512 1517824 1523808 1535611 1555554 1566432 1569568 1571427 1585584 1618617 1624448 1629628 1629936 1641024 1662336 1675212 1692306 1696968 1707552 1712256 1719168 1729728 1754984 1765764 1777776 1790208 1793792 1812096 1814813 1827504 1849848 1862432 1862784 1914528 1926288 1934064 1939392 1951488 1974357 1979796 1992144 1999998 2005696 2018016 2031744 2074072 2081079 2088576 2095236 2114112 2153844 2158156 2173248 2188032 2201472 2233616 2241162 2256408 2262624 2276736 2285712 2306304 2333331 2354352 2370368 2370816 2378376 2436672 2444442 2461536 2466464 2512818 2545452 2552704 2561328 2568384 2578752 2585856 2632476 2639728 2648646 2656192 2666664 2690688 2718144 2741256 2774772 2793648 2813184 2818816 2851849 2871792 2897664 2909088 2927232 2969694 2988216 3008544 3016832 3027024 3047616 3071222 3111108 3132864 3139136 3142854 3171168 3237234 3248896 3259256 3259872 3282048 3324672 3350424 3384612 3393936 3415104 3424512 3438336 3459456 3509968 3531528 3555552 3624192 3629626 3655008 3666663 3699696 3724864 3725568 3769227 3829056 3852576 3868128 3878784 3948714 3959592 3984288 3999996 4011392 4036032 4063488 4148144 4162158 4177152 4190472 4228224 4307688 4316312 4346496 4402944 4454541 4467232 4482324 4512816 4525248 4553472 4571424 4606833 4666662 4708704 4740736 4756752 4855851 4873344 4888884 4923072 4932928 5025636 5090904 5105408 5122656 5136768 5157504 5264952 5279456 5297292 5312384 5333328 5381376 5436288 5444439 5482512 5549544 5587296 5703698 5743584 5818176 5854464 5923071 5939388 5976432 6017088 6033664 6054048 6095232 6142444 6222216 6265728 6278272 6285708 6342336 6474468 6518512 6519744 6564096 6700848 6769224 6787872 6830208 6918912 6999993 7019936 7063056 7111104 7259252 7310016 7333326 7399392 7449728 7538454 7658112 7705152 7736256 7757568 7897428 7919184 7968576 7999992 8022784 8072064 8296288 8324316 8380944 8456448 8555547 8615376 8632624 8692992 8909082 8934464 8964648 9025632 9050496 9142848 9213666 9333324 9417408 9481472 9513504 9711702 9746688 9777768 9846144 9865856 10051272 10181808 10245312 10273536 10315008 10529904 10558912 10594584 10624768 10666656 10872576 10888878 10965024 10999989 11099088 11174592 11407396 11487168 11636352 11846142 11878776 11952864 12034176 12108096 12190464 12284888 12444432 12531456 12556544 12571416 12684672 12948936 13037024 13039488 13401696 13538448 13575744 13660416 13820499 13999986 14039872 14126112 14222208 14518504 14567553 14620032 14666652 14798784 14899456 15076908 15316224 15410304 15472512 15794856 15838368 15937152 15999984 16144128 16333317 16592576 16648632 16761888 17111094 17230752 17265248 17818164 17868928 17929296 18051264 18100992 18285696 18427332 18666648 18834816 19027008 19423404 19555536 19692288 19731712 19962943 20102544 20363616 20490624 21059808 21117824 21189168 21333312 21777756 21930048 21999978 22198176 22349184 22814792 22974336 23272704 23692284 23757552 23905728 24068352 24216192 24569776 24888864 25142832 25369344 25666641 25897872 26074048 26078976 26803392 27076896 27151488 27640998 27999972 28079744 28252224 28444416 29037008 29135106 29240064 29333304 29597568 30153816 30820608 30945024 31589712 31676736 31874304 31999968 32666634 33185152 33297264 33523776 34222188 34461504 34530496 35636328 35737856 35858592 36102528 36571392 36854664 37333296 37669632 38054016 38846808 39111072 39925886 40205088 40727232 40981248 41461497 42119616 42235648 42378336 42666624 43555512 43860096 43999956 44396352 44698368 45629584 45948672 47384568 47515104 47811456 48432384 48999951 49139552 49777728 50285664 51333282 51795744 52148096 53606784 54153792 54302976 55281996 55999944 56159488 56504448 58074016 58270212 58666608 59195136 59888829 60307632 63179424 63353472 63999936 65333268 66370304 66594528 67047552 68444376 68923008 69060992 71272656 71717184 72205056 73709328 74666592 76108032 76999923 77693616 78222144 79851772 80410176 81454464 82922994 84239232 84756672 85333248 87111024 87720192 87999912 88792704 91259168 94769136 95030208 95622912 97999902 98279104 99555456 100571328 102666564 103591488 104296192 107213568 108307584 110563992 111999888 113008896 116148032 116540424 117333216 119777658 120615264 126358848 126706944 127999872 130666536 133189056 134095104 136888752 137846016 138121984 142545312 143434368 147418656 149333184 153999846 155387232 156444288 159703544 160820352 162908928 165845988 168478464 169513344 174222048 175999824 177585408 179666487 182518336 189538272 190060416 195999804 196558208 199110912 201142656 205333128 207182976 216615168 221127984 223999776 232296064 233080848 234666432 239555316 241230528 252717696 255999744 261333072 266378112 273777504 285090624 286868736 294837312 298666368 307999692 310774464 312888576 319407088 321640704 331691976 339026688 348444096 351999648 359332974 365036672 379076544 380120832 391999608 393116416 402285312 410666256 414365952 442255968 447999552 464592128 466161696 469332864 479110632 482461056 505435392 522666144 532756224 538999461 547555008 570181248 589674624 597332736 615999384 621548928 638814176 663383952 696888192 703999296 718665948 730073344 758153088 783999216 821332512 884511936 895999104 932323392 938665728 958221264 964922112 1045332288 1077998922 1095110016 1140362496 1179349248 1231998768 1243097856 1277628352 1326767904 1393776384 1407998592 1437331896 1516306176 1567998432 1642665024 1769023872 1791998208 1864646784 1916442528 2090664576 2155997844 2190220032 2463997536 2555256704 2653535808 2815997184 2874663792 3135996864 3285330048 3538047744 3729293568 3832885056 4181329152 4311995688 4927995072 5110513408 5307071616 5749327584 6271993728 6570660096 7665770112 8623991376 9855990144 10614143232 11498655168 12543987456 15331540224 17247982752 19711980288 22997310336 34495965504 45994620672 68991931008 137983862016
- Sum of all divisors σ(n): 578501056000
- Sum of proper divisors (its aliquot sum) s(n): 440517193984
- 137983862016 is an abundant number, because the sum of its proper divisors (440517193984) is greater than itself. Its abundance is 302533331968
Bases of 137983862016
- Binary: 100000001000000111101010100101000000002
- Hexadecimal: 0x20207AA500
- Base-36: 1RE011C0
Squares and roots of 137983862016
- 137983862016 squared (1379838620162) is 19039546176850527584256
- 137983862016 cubed (1379838620163) is 2627150112513803531642781718020096
-
The
square root of 137983862016 is 371461.7907887703 -
The
cube root of 137983862016 is 5167.4478062477
Scales and comparisons
How big is 137983862016?- 137,983,862,016 seconds is equal to 4,387 years, 23 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,983,862,016 would take you about eight thousand, seven hundred seventy-four 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 137983862016 cubic inches would be around 430.6 feet tall.
Recreational maths with 137983862016
- 137983862016 backwards is 610268389731
- 137983862016 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137983862016's digits is 54
- More coming soon!
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"Number 137983862016 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 137983862016 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/137983862016/
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The information we have on file for 137983862016 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 137983862016, math, Factors of 137983862016, curriculum, school, college, exams, university, Prime factorization of 137983862016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, nine hundred eighty-three million, eight hundred sixty-two thousand and sixteen.