137319942918144
137,319,942,918,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 137319942918144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1092 divisors.
137319942918144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and ninety-two divisors.
Prime factorization of 137319942918144:
212 × 3 × 76 × 43 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 43 × 47 × 47)See below for interesting mathematical facts about the number 137319942918144 from the Numbermatics database.
Names of 137319942918144
- Cardinal: 137319942918144 can be written as One hundred thirty-seven trillion, three hundred nineteen billion, nine hundred forty-two million, nine hundred eighteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37319942918144 × 1014
Factors of 137319942918144
Divisors of 137319942918144
- Number of divisors d(n): 1092
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 47 48 49 56 64 84 86 94 96 98 112 128 129 141 147 168 172 188 192 196 224 256 258 282 294 301 329 336 343 344 376 384 392 448 512 516 564 588 602 658 672 686 688 752 768 784 896 903 987 1024 1029 1032 1128 1176 1204 1316 1344 1372 1376 1504 1536 1568 1792 1806 1974 2021 2048 2058 2064 2107 2209 2256 2303 2352 2401 2408 2632 2688 2744 2752 3008 3072 3136 3584 3612 3948 4042 4096 4116 4128 4214 4418 4512 4606 4704 4802 4816 5264 5376 5488 5504 6016 6063 6144 6272 6321 6627 6909 7168 7203 7224 7896 8084 8232 8256 8428 8836 9024 9212 9408 9604 9632 10528 10752 10976 11008 12032 12126 12288 12544 12642 13254 13818 14147 14336 14406 14448 14749 15463 15792 16121 16168 16464 16512 16807 16856 17672 18048 18424 18816 19208 19264 21056 21504 21952 22016 24064 24252 25088 25284 26508 27636 28294 28672 28812 28896 29498 30926 31584 32242 32336 32928 33024 33614 33712 35344 36096 36848 37632 38416 38528 42112 42441 43008 43904 44032 44247 46389 48128 48363 48504 50176 50421 50568 53016 55272 56588 57624 57792 58996 61852 63168 64484 64672 65856 66048 67228 67424 70688 72192 73696 75264 76832 77056 84224 84882 86016 87808 88064 88494 92778 94987 96256 96726 97008 99029 100352 100842 101136 103243 106032 108241 110544 112847 113176 115248 115584 117649 117992 123704 126336 128968 129344 131712 132096 134456 134848 141376 144384 147392 150528 153664 154112 168448 169764 175616 176128 176988 185556 189974 192512 193452 194016 198058 200704 201684 202272 206486 212064 216482 221088 225694 226352 230496 231168 235298 235984 247408 252672 257936 258688 263424 264192 268912 269696 282752 284961 288768 294784 297087 301056 307328 308224 309729 324723 336896 338541 339528 351232 352947 353976 371112 379948 386904 388032 396116 403368 404544 412972 424128 432964 442176 451388 452704 460992 462336 470596 471968 494816 505344 515872 517376 526848 528384 537824 539392 565504 569922 577536 589568 594174 602112 614656 616448 619458 649446 664909 673792 677082 679056 693203 702464 705894 707952 722701 742224 757687 759896 773808 776064 789929 792232 806736 809088 825944 848256 865928 884352 902776 905408 921984 924672 941192 943936 989632 1010688 1031744 1034752 1053696 1075648 1078784 1131008 1139844 1179136 1188348 1229312 1232896 1238916 1298892 1329818 1347584 1354164 1358112 1386406 1404928 1411788 1415904 1445402 1484448 1515374 1519792 1547616 1552128 1579858 1584464 1613472 1618176 1651888 1696512 1731856 1768704 1805552 1810816 1843968 1849344 1882384 1887872 1979264 1994727 2021376 2063488 2069504 2079609 2107392 2151296 2157568 2168103 2262016 2273061 2279688 2358272 2369787 2376696 2458624 2477832 2597784 2659636 2708328 2716224 2772812 2823576 2831808 2890804 2968896 3030748 3039584 3095232 3104256 3159716 3168928 3226944 3236352 3303776 3393024 3463712 3537408 3611104 3621632 3687936 3698688 3764768 3775744 3958528 3989454 4042752 4126976 4139008 4159218 4214784 4302592 4315136 4336206 4524032 4546122 4559376 4654363 4716544 4739574 4753392 4852421 4917248 4955664 5058907 5195568 5303809 5319272 5416656 5432448 5529503 5545624 5647152 5663616 5781608 5937792 6061496 6079168 6190464 6208512 6319432 6337856 6453888 6472704 6607552 6786048 6927424 7074816 7222208 7243264 7375872 7529536 7551488 7917056 7978908 8253952 8278016 8318436 8605184 8630272 8672412 9048064 9092244 9118752 9308726 9433088 9479148 9506784 9704842 9834496 9911328 10117814 10391136 10607618 10638544 10833312 10864896 11059006 11091248 11294304 11327232 11563216 11875584 12122992 12158336 12380928 12417024 12638864 12675712 12907776 12945408 13215104 13572096 13854848 13963089 14149632 14444416 14486528 14557263 14751744 15059072 15102976 15176721 15834112 15911427 15957816 16507904 16588509 16636872 17210368 17344824 18184488 18237504 18617452 18958296 19013568 19409684 19822656 20235628 20782272 21215236 21277088 21666624 21729792 22118012 22182496 22588608 22654464 23126432 23751168 24245984 24316672 24761856 24834048 25277728 25351424 25815552 25890816 26430208 27144192 27709696 27926178 28299264 28888832 28973056 29114526 29503488 30118144 30205952 30353442 31668224 31822854 31915632 32580541 33015808 33177018 33273744 33966947 34420736 34689648 36368976 36475008 37126663 37234904 37916592 38027136 38819368 39645312 40471256 41564544 42430472 42554176 43333248 43459584 44236024 44364992 45177216 45308928 46252864 47502336 48491968 48633344 49523712 50555456 50702848 51631104 52860416 55419392 55852356 57777664 57946112 58229052 60236288 60411904 60706884 63336448 63645708 63831264 65161082 66031616 66354036 66547488 67933894 68841472 69379296 72737952 72950016 74253326 74469808 75833184 76054272 77638736 79290624 80942512 83129088 84860944 85108352 86666496 86919168 88472048 88729984 90354432 90617856 92505728 95004672 96983936 97266688 97741623 99047424 101110912 101405696 101900841 103262208 105720832 110838784 111379989 111704712 115555328 116458104 120472576 121413768 127291416 127662528 130322164 132708072 133094976 135867788 138758592 145475904 145900032 148506652 148939616 151666368 152108544 155277472 158581248 161885024 166258176 169721888 170216704 173332992 173838336 176944096 177459968 180708864 181235712 185011456 190009344 193967872 194533376 195483246 198094848 202221824 202811392 203801682 206524416 211441664 221677568 222759978 223409424 228063787 231110656 232916208 237768629 240945152 242827536 254582832 255325056 259886641 260644328 265416144 266189952 271735576 277517184 290951808 291800064 297013304 297879232 303332736 304217088 310554944 317162496 323770048 332516352 339443776 340433408 346665984 353888192 354919936 361417728 370022912 387935744 389066752 390966492 404443648 405622784 407603364 422883328 443355136 445519956 446818848 456127574 462221312 465832416 475537258 481890304 485655072 509165664 510650112 519773282 521288656 530832288 532379904 543471152 555034368 581903616 583600128 594026608 595758464 606665472 608434176 621109888 634324992 647540096 665032704 678887552 680866816 684191361 693331968 707776384 709839872 713305887 722835456 740045824 775871488 779659923 781932984 808887296 815206728 891039912 893637696 912255148 931664832 951074516 971310144 1018331328 1021300224 1039546564 1042577312 1061664576 1064759808 1086942304 1110068736 1163807232 1167200256 1188053216 1191516928 1213330944 1216868352 1242219776 1268649984 1295080192 1330065408 1357775104 1361733632 1368382722 1386663936 1415552768 1419679744 1426611774 1445670912 1480091648 1551742976 1559319846 1563865968 1596446509 1617774592 1630413456 1782079824 1787275392 1824510296 1863329664 1902149032 1942620288 2036662656 2042600448 2079093128 2085154624 2123329152 2129519616 2173884608 2220137472 2327614464 2376106432 2383033856 2426661888 2484439552 2590160384 2715550208 2723467264 2736765444 2831105536 2839359488 2853223548 2960183296 3103485952 3118639692 3127731936 3192893018 3235549184 3260826912 3564159648 3574550784 3649020592 3726659328 3804298064 3885240576 4073325312 4085200896 4158186256 4170309248 4246658304 4259039232 4347769216 4440274944 4655228928 4752212864 4766067712 4789339527 4853323776 4968879104 5180320768 5431100416 5473530888 5662211072 5706447096 6237279384 6255463872 6385786036 6521653824 7128319296 7149101568 7298041184 7453318656 7608596128 7770481152 8146650624 8170401792 8316372512 8340618496 8493316608 8518078464 8695538432 8880549888 9310457856 9504425728 9532135424 9578679054 9706647552 9937758208 10360641536 10862200832 10947061776 11175125563 11324422144 11412894192 12474558768 12510927744 12771572072 13043307648 14256638592 14298203136 14596082368 14906637312 15217192256 15540962304 16293301248 16632745024 16681236992 16986633216 17391076864 19008851456 19064270848 19157358108 19875516416 20721283072 21724401664 21894123552 22350251126 22648844288 22825788384 24949117536 25021855488 25543144144 26086615296 28513277184 28596406272 29192164736 29813274624 30434384512 31081924608 32586602496 33265490048 33362473984 33525376689 33973266432 34782153728 38017702912 38314716216 43788247104 44700502252 45651576768 49898235072 50043710976 51086288288 52173230592 57026554368 57192812544 58384329472 59626549248 60868769024 62163849216 65173204992 66530980096 66724947968 67050753378 67946532864 69564307456 76035405824 76629432432 87576494208 89401004504 91303153536 99796470144 100087421952 102172576576 104346461184 114053108736 116768658944 121737538048 133061960192 133449895936 134101506756 139128614912 152070811648 153258864864 175152988416 178802009008 182606307072 199592940288 200174843904 204345153152 208692922368 228106217472 233537317888 243475076096 266123920384 268203013512 306517729728 350305976832 357604018016 365212614144 399185880576 400349687808 408690306304 417385844736 456212434944 467074635776 486950152192 532247840768 536406027024 613035459456 700611953664 715208036032 730425228288 798371761152 817380612608 934149271552 973900304384 1064495681536 1072812054048 1226070918912 1401223907328 1430416072064 1460850456576 1596743522304 1634761225216 2145624108096 2452141837824 2802447814656 2860832144128 2921700913152 3193487044608 3269522450432 4291248216192 4904283675648 5721664288256 6539044900864 8582496432384 9808567351296 11443328576512 17164992864768 19617134702592 22886657153024 34329985729536 45773314306048 68659971459072 137319942918144
- Sum of all divisors σ(n): 446596849663184
- Sum of proper divisors (its aliquot sum) s(n): 309276906745040
- 137319942918144 is an abundant number, because the sum of its proper divisors (309276906745040) is greater than itself. Its abundance is 171956963826896
Bases of 137319942918144
- Binary: 111110011100100010010100110101100010000000000002
- Hexadecimal: 0x7CE44A6B1000
- Base-36: 1COBWSIMTC
Squares and roots of 137319942918144
- 137319942918144 squared (1373199429181442) is 18856766723042326498284404736
- 137319942918144 cubed (1373199429181443) is 2589410130028929564450451378292881813929984
-
The
square root of 137319942918144 is 11718359.2246587149 -
The
cube root of 137319942918144 is 51591.4663138285
Scales and comparisons
How big is 137319942918144?- 137,319,942,918,144 seconds is equal to 4,366,349 years, 22 weeks, 1 day, 4 hours, 22 minutes, 24 seconds.
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To count from 1 to 137,319,942,918,144 would take you about ten million, nine hundred fifteen thousand, eight hundred seventy-three 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 137319942918144 cubic inches would be around 4299.3 feet tall.
Recreational maths with 137319942918144
- 137319942918144 backwards is 441819249913731
- The number of decimal digits it has is: 15
- The sum of 137319942918144's digits is 66
- More coming soon!
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"Number 137319942918144 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 137319942918144 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137319942918144/
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The information we have on file for 137319942918144 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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