137007139437168
137,007,139,437,168 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137007139437168 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1280 divisors.
137007139437168 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 137007139437168:
24 × 3 × 7 × 11 × 13 × 17 × 37 × 41 × 110569
(2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 17 × 37 × 41 × 110569)See below for interesting mathematical facts about the number 137007139437168 from the Numbermatics database.
Names of 137007139437168
- Cardinal: 137007139437168 can be written as One hundred thirty-seven trillion, seven billion, one hundred thirty-nine million, four hundred thirty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37007139437168 × 1014
Factors of 137007139437168
Divisors of 137007139437168
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 33 34 37 39 41 42 44 48 51 52 56 66 68 74 77 78 82 84 88 91 102 104 111 112 119 123 132 136 143 148 154 156 164 168 176 182 187 204 208 221 222 231 238 246 259 264 272 273 286 287 296 308 312 328 336 357 364 374 407 408 429 442 444 451 462 476 481 492 518 528 533 546 561 572 574 592 616 624 629 656 663 697 714 728 748 777 814 816 858 861 884 888 902 924 952 962 984 1001 1036 1066 1092 1122 1144 1148 1221 1232 1258 1309 1326 1353 1394 1428 1443 1456 1496 1517 1547 1554 1599 1628 1716 1722 1768 1776 1804 1848 1887 1904 1924 1968 2002 2072 2091 2132 2184 2244 2288 2296 2431 2442 2516 2618 2652 2706 2788 2849 2856 2886 2992 3003 3034 3094 3108 3157 3198 3256 3367 3432 3444 3536 3608 3696 3731 3774 3848 3927 4004 4144 4182 4264 4368 4403 4488 4551 4592 4641 4862 4879 4884 5032 5236 5291 5304 5412 5576 5698 5712 5772 5863 6006 6068 6188 6216 6314 6396 6512 6734 6864 6888 6919 7216 7293 7462 7548 7667 7696 7854 8008 8177 8364 8528 8547 8806 8976 9061 9102 9282 9471 9724 9758 9768 10064 10101 10472 10582 10608 10619 10824 11152 11193 11396 11544 11726 12012 12136 12376 12432 12628 12792 13209 13468 13776 13838 14586 14637 14924 15096 15334 15708 15873 16016 16354 16687 16728 17017 17094 17589 17612 18122 18204 18564 18942 19448 19516 19536 19721 20202 20757 20944 21164 21238 21648 22386 22792 23001 23088 23452 24024 24272 24531 24752 25256 25584 25789 26418 26936 27183 27676 29172 29274 29848 30192 30668 31416 31746 31857 32708 33374 33456 34034 34188 35178 35224 36244 36408 37037 37128 37884 38896 39032 39442 40404 41041 41514 42328 42476 44772 45584 46002 46904 48048 48433 49062 50061 50512 51051 51578 52836 53669 53872 54366 55352 57239 58344 58548 59163 59696 61336 62832 63427 63492 63714 65416 66748 68068 68376 70356 70448 72488 72816 74074 74256 75768 77367 78064 78884 80808 82082 83028 84656 84952 89544 89947 92004 93808 96866 98124 99671 100122 102102 103156 105672 107338 108732 110569 110704 111111 114478 116688 116809 117096 118326 122672 123123 126854 126984 127428 130832 133496 136136 136752 138047 140712 144976 145299 148148 151536 154734 157768 161007 161616 164164 166056 169904 171717 179088 179894 180523 184008 190281 193732 196248 199342 200244 204204 206312 211344 214676 216931 217464 221138 222222 228956 233618 234192 236652 246246 253708 253968 254856 266992 269841 272272 276094 281424 283679 290598 296296 299013 309468 315536 322014 328328 331707 332112 335257 343434 350427 359788 361046 368016 380562 387464 392496 398684 400488 408408 412624 414141 429352 433862 434928 442276 444444 457912 467236 473304 492492 507416 509712 539682 541569 552188 567358 581196 592592 598026 618936 629629 644028 650793 656656 663414 670514 686868 697697 700854 719576 722092 761124 773983 774928 797368 800976 816816 828282 851037 858704 867724 884552 888888 915824 934472 946608 984984 1005771 1014832 1079364 1083138 1104376 1134716 1162392 1196052 1216259 1237872 1259258 1288056 1301586 1326828 1341028 1373736 1395394 1401708 1437397 1439152 1444184 1518517 1522248 1547966 1594736 1656564 1702074 1735448 1769104 1777776 1868944 1879673 1888887 1969968 1985753 2011542 2093091 2158728 2166276 2208752 2269432 2321949 2324784 2346799 2392104 2432518 2518516 2576112 2603172 2653656 2682056 2747472 2790788 2803416 2874794 2888368 3037034 3044496 3095932 3313128 3404148 3470896 3648777 3687827 3759346 3777774 3971506 4023084 4091053 4186182 4312191 4317456 4332552 4533329 4538864 4555551 4643898 4693598 4784208 4865036 5037032 5206344 5307312 5364112 5581576 5606832 5639019 5749588 5957259 6074068 6191864 6626256 6808296 7040397 7297554 7375654 7518692 7555548 7943012 8046168 8182106 8372364 8513813 8624382 8665104 9066658 9111102 9287796 9387196 9730072 10061779 10074064 10412688 11063481 11163152 11278038 11499176 11914518 12148136 12273159 12383728 13157711 13599987 13616592 14080794 14595108 14751308 15037384 15111096 15811367 15886024 16092336 16364212 16744728 17027626 17248764 18133316 18222204 18575592 18774392 19460144 20123558 20676403 22126962 22556076 22998352 23829036 24296272 24435749 24546318 25541439 25814789 26315422 27199974 28161588 28637371 29190216 29502616 30074768 30185337 30222192 31622734 31733303 31772048 32728424 33489456 34055252 34497528 36266632 36444408 37151184 37548784 39473133 40247116 41352806 44253924 45001583 45112152 47434101 47658072 48871498 49092636 49866619 51082878 51629578 52630844 53183689 54399948 56323176 57274742 58380432 58933277 59005232 60370674 62029209 63245468 63466606 65456848 68110504 68995056 69547901 72533264 72888816 73307247 77066593 77444367 78946266 80494232 82705612 85912113 88507848 90003166 90224304 94868202 95199909 95316144 97742996 98185272 99733238 102165756 103259156 105261688 106367378 108799896 110679569 112646352 114549484 117866554 120741348 124058418 126490936 126933212 135004749 136221008 139095802 144734821 146614494 149599857 154133186 154888734 157892532 159551067 160988464 165411224 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15052421384 15120531888 15263718743 15558385128 16029851344 16065565131 16380576212 16755183984 17108783646 17444249992 17802382983 17869719504 18151449316 18360645864 18786115376 18986576973 19801581072 19890699686 19960247587 20345580552 21039179889 21420753508 21698945112 22041045598 22140778836 22578632076 22811711528 23368094736 23736510644 23985843739 24044777016 24570864318 25315435964 25830908642 25894375248 26166374988 27227173974 28052239852 28080987792 28179173064 29521038448 29836049529 30104842768 30527437486 31116770256 31366103351 32131130262 32761152424 33061568397 34217567292 34888499984 35604765966 36302898632 36721291728 37069031233 37973153946 38746362963 39781399372 39920495174 40691161104 42078359778 42841507016 43397890224 44082091196 44281557672 45157264152 45623423056 45791156229 47473021288 47971687478 48089554032 49141728636 50630871928 51661817284 52332749976 54454347948 56104479704 56358346128 59672099058 59880742761 61054874972 62732206702 64262260524 65522304848 66123136794 68435134584 69617448901 71209531932 71957531217 72605797264 74138062466 75946307892 77143659593 77492725926 79562798744 79840990348 84156719556 85683014032 88164182392 88563115344 90314528304 91582312458 94098310053 94946042576 95943374956 98283457272 101261743856 103323634568 104665499952 108908695896 111207093699 112208959408 119344198116 119761485522 122109749944 125464413404 128524521048 132246273588 136870269168 139234897802 142419063864 143915062434 148276124932 151892615784 154287319186 154985451852 159125597488 159681980696 167900906173 168313439112 176328364784 183164624916 188196620106 191886749912 196566914544 206647269136 208852346703 217817391792 219562723457 222414187398 231430978779 238688396232 239522971044 244219499888 250928826808 257049042096 259483218631 264492547176 278469795604 284838127728 287830124868 296552249864 303785231568 308574638372 309970903704 319363961392 335801812346 336626878224 366329249832 376393240212 383773499824 407759343563 417704693406 439125446914 444828374796 462861957558 477376792464 479045942088 501857653616 503702718519 518966437262 528985094352 556939591208 575660249736 593104499728 617149276744 619941807408 658688170371 671603624692 732658499664 752786480424 778449655893 815518687126 835409386812 878250893828 889656749592 925723915116 958091884176 1007405437038 1037932874524 1113879182416 1151320499472 1223278030689 1234298553488 1317376340742 1343207249384 1505572960848 1556899311786 1631037374252 1670818773624 1756501787656 1779313499184 1851447830232 2014810874076 2075865749048 2446556061378 2634752681484 2686414498768 2854315404941 3113798623572 3262074748504 3341637547248 3513003575312 3702895660464 4029621748152 4151731498096 4893112122756 5269505362968 5708630809882 6227597247144 6524149497008 8059243496304 8562946214823 9786224245512 10539010725936 11417261619764 12455194494288 17125892429646 19572448491024 22834523239528 34251784859292 45669046479056 68503569718584 137007139437168
- Sum of all divisors σ(n): 529375277813760
- Sum of proper divisors (its aliquot sum) s(n): 392368138376592
- 137007139437168 is an abundant number, because the sum of its proper divisors (392368138376592) is greater than itself. Its abundance is 255360998939424
Bases of 137007139437168
- Binary: 111110010011011011101011110000010111010011100002
- Hexadecimal: 0x7C9B75E0BA70
- Base-36: 1CKC7LEG6O
Squares and roots of 137007139437168
- 137007139437168 squared (1370071394371682) is 18770956256755595075819860224
- 137007139437168 cubed (1370071394371683) is 2571755021238294908433897116776155790405632
-
The
square root of 137007139437168 is 11705004.8883871893 -
The
cube root of 137007139437168 is 51552.2628325071
Scales and comparisons
How big is 137007139437168?- 137,007,139,437,168 seconds is equal to 4,356,403 years, 12 weeks, 4 days, 12 hours, 32 minutes, 48 seconds.
-
To count from 1 to 137,007,139,437,168 would take you about ten million, eight hundred ninety-one thousand and eight 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 137007139437168 cubic inches would be around 4296 feet tall.
Recreational maths with 137007139437168
- 137007139437168 backwards is 861734931700731
- The number of decimal digits it has is: 15
- The sum of 137007139437168's digits is 60
- More coming soon!
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Cite this page
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"Number 137007139437168 - Facts about the integer". Numbermatics.com. 2024. Web. 18 April 2024.
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Numbermatics. (2024). Number 137007139437168 - Facts about the integer. Retrieved 18 April 2024, from https://numbermatics.com/n/137007139437168/
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The information we have on file for 137007139437168 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 137007139437168, math, Factors of 137007139437168, curriculum, school, college, exams, university, Prime factorization of 137007139437168, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, seven billion, one hundred thirty-nine million, four hundred thirty-seven thousand, one hundred sixty-eight.