137327409624020
137,327,409,624,020 is an even composite number composed of seven prime numbers multiplied together.
137327409624020 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 137327409624020:
22 × 5 × 7 × 113 × 172 × 37 × 413
(2 × 2 × 5 × 7 × 11 × 11 × 11 × 17 × 17 × 37 × 41 × 41 × 41)See below for interesting mathematical facts about the number 137327409624020 from the Numbermatics database.
Names of 137327409624020
- Cardinal: 137327409624020 can be written as One hundred thirty-seven trillion, three hundred twenty-seven billion, four hundred nine million, six hundred twenty-four thousand and twenty.
Scientific notation
- Scientific notation: 1.3732740962402 × 1014
Factors of 137327409624020
Divisors of 137327409624020
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 10 11 14 17 20 22 28 34 35 37 41 44 55 68 70 74 77 82 85 110 119 121 140 148 154 164 170 185 187 205 220 238 242 259 287 289 308 340 370 374 385 407 410 451 476 484 518 574 578 595 605 629 697 740 748 770 814 820 847 902 935 1036 1148 1156 1190 1210 1258 1295 1309 1331 1394 1435 1445 1517 1540 1628 1681 1694 1804 1870 2023 2035 2057 2255 2380 2420 2516 2590 2618 2662 2788 2849 2870 2890 3034 3145 3157 3179 3362 3388 3485 3740 4046 4070 4114 4235 4403 4477 4510 4879 4961 5180 5236 5324 5698 5740 5780 6068 6290 6314 6358 6545 6655 6724 6919 6970 7585 7667 8092 8140 8228 8405 8470 8806 8954 9020 9317 9758 9922 10115 10285 10619 10693 11396 11767 11849 12580 12628 12716 13090 13310 13838 13940 14245 14399 15170 15334 15785 15895 16687 16810 16940 17612 17908 18491 18634 19516 19844 20230 20570 21238 21386 22015 22253 22385 22627 23534 23698 24395 24805 25789 26180 26620 27676 28490 28577 28798 30340 30668 31339 31570 31790 33374 33620 34595 34727 34969 36982 37268 38335 40460 41140 42476 42772 44030 44506 44770 45254 46585 47068 47396 48433 48790 49247 49610 51578 53095 53465 53669 54571 56980 57154 57596 58835 59245 62197 62678 63140 63580 66748 68921 69190 69454 69938 71995 73964 74851 76109 76670 82943 83435 84337 88060 89012 89540 90508 92455 93170 96866 97580 98494 99220 103156 106190 106930 107338 109142 111265 113135 114308 116809 117623 117670 118490 124394 125356 128945 129437 130339 137842 138380 138908 139876 142885 143990 149702 152218 153340 156695 158389 165886 166870 168674 173635 174845 180523 183557 184910 186340 193732 196988 200039 203401 212380 213860 214676 218284 222530 226270 233618 235246 235340 236980 242165 244783 246235 248788 257890 258874 260678 268345 272855 275684 283679 285770 287980 299404 304436 310985 313390 314347 316778 331772 333740 337348 344605 344729 347270 349690 361046 367114 369820 374255 380545 381997 384659 400078 406802 414715 421685 435379 438413 445060 452540 467236 470492 482447 484330 485809 489566 492470 515780 517748 521356 532763 536690 545710 567358 571540 584045 588115 590359 621970 626780 628694 633556 647185 651695 684167 689210 689458 694540 699380 722092 734228 748510 758131 761090 763994 769318 791945 800156 813604 823361 829430 837199 843370 870758 876826 902615 912373 917785 927707 964894 968660 971618 979132 984940 1000195 1017005 1057349 1065526 1073380 1091420 1134716 1168090 1171657 1176230 1180718 1223915 1243940 1257388 1284899 1293853 1294370 1303390 1368334 1378420 1378916 1418395 1423807 1433729 1497020 1516262 1522180 1527988 1538636 1571735 1583890 1646722 1658860 1674398 1686740 1723645 1741516 1753652 1805230 1824746 1835570 1855414 1909985 1923295 1929788 1943236 1985753 2000390 2019127 2034010 2114698 2131052 2176895 2192065 2200429 2237411 2336180 2343314 2352460 2361436 2412235 2429045 2447830 2550077 2569798 2587706 2588740 2606780 2663815 2692613 2736668 2836790 2847614 2867458 2951795 3032524 3068891 3120469 3143470 3167780 3293444 3348796 3400663 3420835 3447290 3457817 3610460 3649492 3671140 3710828 3790655 3819970 3846590 3971506 4000780 4038254 4068020 4116805 4185995 4229396 4353790 4384130 4400858 4474822 4561865 4638535 4686628 4789169 4822543 4824470 4858090 4895660 5100154 5139596 5175412 5286745 5306917 5327630 5343899 5385226 5673580 5695228 5734916 5858285 5860393 5903590 6137782 6240938 6286940 6424495 6469265 6493949 6801326 6841670 6894580 6915634 7119035 7168645 7401443 7525837 7581310 7639940 7693180 7943012 8076508 8201599 8233610 8339441 8371990 8707580 8768260 8801716 8949644 9056971 9123730 9277070 9578338 9645086 9648940 9716180 9928765 10036103 10095635 10200308 10573490 10613834 10655260 10687798 10770452 11002145 11187055 11630839 11716570 11720786 11807180 12275564 12481876 12750385 12848990 12888227 12938530 12987898 13463065 13602652 13683340 13831268 14133889 14232383 14238070 14337290 14802886 15051674 15162620 15344455 15602345 15661877 15771019 16403198 16467220 16678882 16743980 17003315 17289085 17850539 17974933 18113942 18247460 18554140 19156676 19290172 19857530 19918169 20072206 20191270 21146980 21227668 21375596 21843283 22004290 22374110 23261678 23433140 23441572 23945845 24112715 24204719 25500770 25697980 25776454 25877060 25975796 26534585 26719495 26926130 28050847 28267778 28464766 28476140 28674580 29301965 29605772 30103348 30688910 31204690 31323754 31542038 32469745 32806396 33357764 33757801 34006630 34325159 34578170 35701078 35949866 36227884 37007215 37407293 37629185 38035987 39715060 39836338 40144412 40382540 41007995 41697205 43351309 43686566 44008580 44748220 45284855 46523356 47891690 48225430 48409438 50180515 51001540 51552908 52680859 53047973 53069170 53438990 53852260 56101694 56535556 56929532 58154195 58376087 58603930 58782889 61377820 62409380 62647508 63084076 64441135 64939490 67515602 68013260 68650318 69156340 70669445 71161915 71402156 71899732 74014430 74814586 75258370 76071974 78309385 78855095 79672676 81415873 82015990 82784207 83394410 86702618 87373132 89252695 89874665 90217589 90569710 91733851 95783380 96450860 96818876 99590845 99626681 100361030 105361718 106095946 106138340 106877980 109216415 110397133 112203388 116308390 116752174 117207860 117565778 121023595 125824531 127939229 128882270 129878980 135031204 137300636 139427183 140254235 141338890 141770497 142323830 148028860 149629172 150516740 152143948 156618770 157710190 162831746 164031980 165568414 166788820 168789005 171625795 173405236 178505390 179749330 180435178 181139420 183467702 187036465 190179935 196355929 197724263 199181690 199253362 200722060 210723436 212191892 216756545 218432830 219099859 220794266 232616780 233504348 235131556 240276113 242047190 251649062 255878458 257764540 263404295 265239865 266251909 278854366 280508470 282677780 283540994 284647660 291880435 293914445 303459163 308559317 313237540 315420380 325663492 331136828 337578010 343251590 357010780 359498660 360870356 366935404 371335811 374072930 380359870 392711858 395448526 398363380 398506724 407079365 411480223 413921035 433513090 436865660 438199718 441588532 451087945 458669255 476864399 480552226 484094380 498133405 503298124 511756916 526808590 530479730 532503818 551985665 557708732 561016940 567081988 579489449 583527703 583760870 587828890 606918326 617118634 629122655 639696145 642136957 646611779 675156020 686503180 697135915 708852485 736972253 742671622 748145860 760719740 785423716 790897052 814158730 822960446 827842070 867026180 876399436 895574603 902175890 917338510 953728798 961104452 981779645 988621315 992393479 996266810 1053617180 1060959460 1065007636 1095499295 1103971330 1158978898 1167055406 1167521740 1175657780 1201380565 1213836652 1234237268 1258245310 1279392290 1284273914 1293223558 1331259545 1384069841 1394271830 1407331519 1417704970 1473944506 1485343244 1517295815 1533699013 1542796585 1559475467 1628317460 1645920892 1655684140 1791149206 1804351780 1834677020 1856679055 1907457596 1963559290 1977242630 1984786958 1992533620 2057401115 2159915219 2174966893 2190998590 2207942660 2317957796 2334110812 2384321995 2402761130 2410098449 2516490620 2558784580 2568547828 2586447116 2662519090 2768139682 2788543660 2814663038 2835409940 2897447245 2917638515 2947889012 3034591630 3067398026 3085593170 3118950934 3210684785 3233058895 3338050793 3394152487 3582298412 3684861265 3713358110 3927118580 3954485260 3969573916 4084693921 4114802230 4319830438 4349933786 4381997180 4477873015 4526282453 4768643990 4805522260 4820196898 4961967395 5158805771 5245508389 5325038180 5536279364 5629326076 5794894490 5835277030 6069183260 6134796052 6171186340 6237901868 6421369570 6466117790 6676101586 6788304974 6920349205 7036657595 7369722530 7426716220 7668495065 7797377335 8106694783 8169387842 8229604460 8639660876 8699867572 8955746030 9052564906 9537287980 9640393796 9851320633 9923934790 10317611542 10491016778 10799576095 10874834465 10916328269 11589788980 11670554060 12050492245 12842739140 12932235580 13352203172 13576609948 13840698410 14073315190 14739445060 15224768251 15336990130 15594754670 16213389566 16338775684 16690253965 16870689143 16970762435 17911492060 18105129812 19702641266 19847869580 20423469605 20635223084 20982033556 21599152190 21749668930 21832656538 22631412265 23759067409 23924635823 24100984490 25794028855 26227541945 26511082939 27681396820 28146630380 30449536502 30673980260 31189509340 32426779132 33380507930 33741378286 33941524870 36718558723 39405282532 40533473915 40846939210 43198304380 43499337860 43665313076 45262824530 47518134818 47849271646 48201968980 49256603165 51588057710 52455083890 53022165878 54581641345 56746863481 57700592279 60899073004 66761015860 67482756572 67883049740 73437117446 76123841255 81066947830 81693878420 84353445715 89173642613 90525649060 95036269636 95698543292 98513206330 103176115420 104910167780 106044331756 109163282690 113493726962 115401184558 118795337045 119623179115 132555414695 146874234892 152247682510 162133895660 167472450761 168706891430 178347285226 183592793615 185577580573 197026412660 218326565380 226987453924 230802369116 237590674090 239246358230 265110829390 283734317405 288502961395 304495365020 334944901522 337413782860 356694570452 367185587230 371155161146 403904145953 445868213065 475181348180 478492716460 530221658780 567468634810 577005922790 624215498291 669889803044 734371174460 742310322292 807808291906 837362253805 891736426130 927887902865 980910068743 1134937269620 1154011845580 1248430996582 1615616583812 1674724507610 1783472852260 1855775805730 1961820137486 2019520729765 2496861993164 3121077491455 3349449015220 3711551611460 3923640274972 4039041459530 4904550343715 6242154982910 6866370481201 8078082919060 9809100687430 12484309965820 13732740962402 19618201374860 27465481924804 34331852406005 68663704812010 137327409624020
- Sum of all divisors σ(n): 405394272009216
- Sum of proper divisors (its aliquot sum) s(n): 268066862385196
- 137327409624020 is an abundant number, because the sum of its proper divisors (268066862385196) is greater than itself. Its abundance is 130739452761176
Bases of 137327409624020
- Binary: 111110011100110000001110111011111110011110101002
- Hexadecimal: 0x7CE60777F3D4
- Base-36: 1COFCA01XW
Squares and roots of 137327409624020
- 137327409624020 squared (1373274096240202) is 18858817434043380917760960400
- 137327409624020 cubed (1373274096240203) is 2589832546789485150227905333384798108808000
-
The
square root of 137327409624020 is 11718677.8104025029 -
The
cube root of 137327409624020 is 51592.4013839397
Scales and comparisons
How big is 137327409624020?- 137,327,409,624,020 seconds is equal to 4,366,586 years, 43 weeks, 6 days, 9 hours, 20 minutes, 20 seconds.
-
To count from 1 to 137,327,409,624,020 would take you about ten million, nine hundred sixteen thousand, four hundred sixty-seven 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 137327409624020 cubic inches would be around 4299.4 feet tall.
Recreational maths with 137327409624020
- 137327409624020 backwards is 020426904723731
- The number of decimal digits it has is: 15
- The sum of 137327409624020's digits is 50
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137327409624020 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 137327409624020 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/137327409624020/
Chicago style:
Numbermatics. 2024. "Number 137327409624020 - Facts about the integer". https://numbermatics.com/n/137327409624020/
The information we have on file for 137327409624020 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 137327409624020, math, Factors of 137327409624020, curriculum, school, college, exams, university, Prime factorization of 137327409624020, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred twenty-seven billion, four hundred nine million, six hundred twenty-four thousand and twenty.