137868824631497960
137,868,824,631,497,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137868824631497960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
137868824631497960 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 137868824631497960:
23 × 5 × 7 × 11 × 133 × 472 × 30372
(2 × 2 × 2 × 5 × 7 × 11 × 13 × 13 × 13 × 47 × 47 × 3037 × 3037)See below for interesting mathematical facts about the number 137868824631497960 from the Numbermatics database.
Names of 137868824631497960
- Cardinal: 137868824631497960 can be written as One hundred thirty-seven quadrillion, eight hundred sixty-eight trillion, eight hundred twenty-four billion, six hundred thirty-one million, four hundred ninety-seven thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3786882463149796 × 1017
Factors of 137868824631497960
Divisors of 137868824631497960
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 47 52 55 56 65 70 77 88 91 94 104 110 130 140 143 154 169 182 188 220 235 260 280 286 308 329 338 364 376 385 440 455 470 517 520 572 611 616 658 676 715 728 770 845 910 940 1001 1034 1144 1183 1222 1316 1352 1430 1540 1645 1690 1820 1859 1880 2002 2068 2197 2209 2366 2444 2585 2632 2860 3037 3055 3080 3290 3380 3619 3640 3718 4004 4136 4277 4394 4418 4732 4888 5005 5170 5720 5915 6074 6110 6580 6721 6760 7238 7436 7943 8008 8554 8788 8836 9295 9464 10010 10340 10985 11045 11830 12148 12220 13013 13160 13442 14476 14872 15185 15379 15463 15886 17108 17576 17672 18095 18590 20020 20680 21259 21385 21970 22090 23660 24167 24296 24299 24440 26026 26884 28717 28952 30370 30758 30926 31772 33407 33605 34216 36190 37180 39481 39715 40040 42518 42770 43940 44180 47047 47320 48334 48598 52052 53768 55601 57434 60740 61516 61852 63544 65065 66814 67210 72380 74360 76895 77315 78962 79430 85036 85540 87373 87880 88360 94094 96668 97196 103259 104104 106295 111202 114868 120835 121480 121495 123032 123704 130130 133628 134420 142739 143585 144760 153790 154630 157924 158860 167035 169169 170072 170093 171080 174746 188188 193336 194392 197405 201019 206518 212590 222404 229736 233849 235235 241670 242990 260260 267256 268840 276367 278005 285478 287170 307580 309260 315848 315887 317720 334070 338338 340186 349492 373321 376376 394810 402038 413036 425180 434291 436865 444808 467698 470470 483340 485980 513253 516295 520520 552734 556010 570956 574340 611611 615160 618520 631774 668140 676676 680372 698984 713695 722813 746642 789620 804076 826072 845845 850360 850465 868582 873730 935396 940940 966680 971960 999173 1005095 1026506 1032590 1105468 1112020 1135849 1141912 1148680 1169245 1223222 1263548 1336280 1353352 1360744 1381835 1427390 1445626 1493284 1570129 1579240 1579435 1608152 1691690 1700930 1737164 1747460 1855607 1866605 1870792 1881880 1998346 2010190 2053012 2065180 2171455 2210936 2211209 2224040 2271698 2338490 2446444 2527096 2566265 2613247 2763670 2854780 2891252 2986568 3040037 3058055 3140258 3158870 3383380 3401860 3474328 3494920 3592771 3614065 3711214 3733210 3996692 4020380 4106024 4106531 4130360 4342910 4422418 4543396 4676980 4853173 4892888 4995865 5132530 5226494 5527340 5645783 5679245 5709560 5782504 6080074 6116110 6280516 6317740 6672289 6708733 6766760 6803720 7185542 7228130 7422428 7466420 7850645 7950943 7993384 8040760 8213062 8685820 8844836 9086792 9223369 9278035 9353960 9706346 9991730 10265060 10452988 10990903 11054680 11056045 11291566 11358490 12160148 12232220 12561032 12635480 12989249 13066235 13344578 13417466 14371084 14456260 14844856 14932840 15200185 15701290 15901886 16426124 17371640 17689672 17963855 18446738 18556070 19412692 19983460 20411677 20530120 20532655 20905976 21981806 22112090 22583132 22716980 24122891 24265865 24320296 24464440 25978498 26132470 26689156 26834932 28228915 28742168 28745717 28912520 30400370 31402580 31803772 32852248 33361445 33543665 33972211 35927710 36893476 37112140 38825384 39520481 39754715 39966920 40823354 41065310 43963612 44224180 45166264 45433960 46116845 46706023 46961131 48245782 48531730 51956996 52264940 53378312 53384903 53669864 54954515 56457830 57491434 60800740 62805160 63607544 64563583 64946245 66722890 67087330 67944422 71855420 73395179 73786952 73796063 74224280 79040962 79509430 81646708 82130620 87213529 87927224 88448360 92233690 93412046 93922262 96491564 97063460 101457059 102058385 103913992 104529880 106769806 109909030 112915660 114982868 119903797 120614455 121601480 129127166 129892490 133445780 134174660 135888844 142881739 143710840 143728585 146790358 147592126 158081924 159018860 163293416 164261240 168860237 169861055 174427058 184467380 186824092 187844524 192983128 194126920 197602405 202914118 204116770 213539612 219818060 225831320 229965736 233530115 234805655 239807594 241228910 258254332 259784980 265351801 266891560 266924515 268349320 271777688 285763478 287457170 293580716 295184252 313597583 316163848 318037720 322817915 337720474 339722110 348854116 366975895 368934760 368980315 373648184 373694321 375689048 395204810 405828236 408233540 427079224 433498343 436067645 439636120 467060230 469611310 479615188 482457820 507285295 513766253 516508664 516572441 519569960 530703602 533849030 571526956 574914340 587161432 590368504 599518985 610494703 627195166 645635830 675440948 679444220 697708232 710199413 714408695 733951790 737960630 747388642 790409620 811656472 816467080 839326579 844301185 866996686 872135290 934120460 939222620 959230376 959348819 964915640 1014570590 1027532506 1033144882 1061407204 1067698060 1133775877 1143053912 1149828680 1199037970 1220989406 1254390332 1291271660 1318941767 1326759005 1350881896 1358888440 1420398826 1428817390 1467903580 1475921260 1494777284 1558749361 1567987915 1580819240 1678653158 1688602370 1733993372 1744270580 1857462607 1868240920 1868471605 1878445240 1918697638 2029141180 2055065012 2066289764 2122814408 2135396120 2167491715 2195183081 2267551754 2398075940 2441978812 2508780664 2568831265 2582543320 2582862205 2637883534 2653518010 2840797652 2857634780 2935807160 2951842520 2989554568 3034488401 3052473515 3117498722 3135975830 3357306316 3377204740 3449573413 3467986744 3488541160 3550997065 3714925214 3736943210 3837395276 4058282360 4110130024 4132579528 4196632895 4334983430 4390366162 4535103508 4768481773 4796151880 4796744095 4883957624 5137662530 5165724410 5275767068 5307036020 5635478459 5668879385 5681595304 5715269560 6068976802 6104947030 6234997444 6271951660 6594708835 6714612632 6715441733 6754409480 6899146826 7101994130 7429850428 7473886420 7674790552 7793746805 7936431139 8393265790 8669966860 8780732324 9070207016 9232592369 9287313035 9536963546 9593488190 10275325060 10331448820 10551534136 10614072040 10911245527 10975915405 11270956918 11337758770 12137953604 12209894060 12469994888 12471534647 12543903320 13189417670 13430883466 13798293652 14203988260 14739086401 14859700856 14947772840 15172442005 15587493610 15872862278 16786531580 17146242971 17247867065 17339933720 17561464648 18465184738 18574626070 19073927092 19186976380 20263741693 20374422121 20550650120 20662897640 21822491054 21951830810 22541913836 22675517540 23842408865 24147013891 24275907208 24419788120 24943069294 26378835340 26861766932 27596587304 28177392295 28407976520 29478172802 30344884010 31174987220 31745724556 33379372411 33573063160 33577208665 34292485942 34495734130 36930369476 37149252140 38147854184 38373952760 39448349213 39682155695 40527483386 40748844242 43644982108 43903661620 45083827672 45351035080 46162961845 47684817730 48294027782 49886138588 52757670680 53723533864 54556227635 56354784590 58956345604 60689768020 61990263049 62349974440 62357673235 63491449112 66758744822 67154417330 68584971884 68991468260 73261219967 73695432005 73860738952 74298504280 78896698426 79364311390 81054966772 81497688484 85731214855 87289964216 87300742529 87807323240 92325923690 95369635460 96588055564 99772277176 101318708465 101872110605 103173604807 109112455270 112709569180 117912691208 120023700797 120735069455 121379536040 123980526098 124715346470 133517489644 134308834660 137169943768 137982936520 141846191851 142620954847 146522439934 147390864010 157793396852 158728622780 162109933544 162129950411 162995376968 166896862055 171462429710 174601485058 184651847380 190739270920 193176111128 197241746065 202637416930 203744221210 206347209614 218224910540 222901158623 224118643331 225419138360 240047401594 241470138910 247961052196 249430692940 264867487573 267034979288 268617669320 283692383702 285241909694 293044879868 294781728020 309951315245 315586793704 317457245560 324259900822 333793724110 342924859420 349202970116 366306099835 369303694760 394483492130 405274833860 407488442420 412694419228 433931841343 436449821080 436503712645 445802317246 448237286662 480094803188 482940277820 495922104392 498861385880 512828539769 515868024035 529734975146 567384767404 570483819388 586089759736 589563456040 600118503985 619902630490 648519801644 667587448220 685849718840 698405940232 709230959255 713104774235 732612199670 788966984260 805873419637 810549667720 810649752055 814976884840 825388838456 867863682686 873007425290 891604634492 896474573324 952395859571 960189606376 965880555640 1025657079538 1031736048070 1059469950292 1114505793115 1120593216655 1134769534808 1134909652877 1140967638776 1200237007970 1239805260980 1297039603288 1324337437865 1335174896440 1418461918510 1426209548470 1465224399340 1560308110361 1568830503317 1577933968520 1611746839274 1621299504110 1735727365372 1746014850580 1783209268984 1792949146648 1854072413011 1904791719142 2051314159076 2063472096140 2118939900584 2169659206715 2229011586230 2241186433310 2269819305754 2400474015940 2479610521960 2564142698845 2648674875730 2836923837020 2852419096940 2913542363303 2930448798680 3120616220722 3137661006634 3223493678548 3242599008220 3443277338449 3471454730744 3492029701160 3708144826022 3809583438284 4029367098185 4102628318152 4126944192280 4339318413430 4458023172460 4482372866620 4539638611508 4761979297855 4800948031880 5128285397690 5297349751460 5641113937459 5673847674040 5674548264385 5704838193880 5827084726606 6241232441444 6275322013268 6446987357096 6485198016440 6666771016997 6886554676898 7416289652044 7619166876568 7801540551805 7844152516585 8058734196370 8678636826860 8916046344920 8964745733240 9079277223016 9270362065055 9523958595710 10256570795380 10476354455281 10594699502920 11282227874918 11349096528770 11654169453212 12482464882888 12550644026536 13333542033994 13773109353796 14567711816515 14832579304088 15603081103610 15688305033170 16117468392740 17216386692245 17357273653720 18540724130110 19047917191420 20394796543121 20513141590760 20952708910562 22564455749836 22698193057540 23308338906424 24102941369143 26667084067988 27546218707592 28205569687295 29135423633030 31206162207220 31376610066340 32234936785480 33333855084985 34432773384490 37081448260220 37876050722939 38095834382840 40789593086242 41905417821124 44762605399837 45128911499672 45396386115080 48205882738286 52381772276405 53334168135976 56411139374590 58270847266060 62412324414440 62753220132680 66667710169970 68865546768980 73334481186967 74162896520440 75752101445878 81579186172484 83810835642248 89525210799674 96411765476572 101973982715605 104763544552810 112822278749180 116541694532120 120514706845715 133335420339940 137731093537960 146668962373934 151504202891756 163158372344968 179050421599348 189380253614695 192823530953144 203947965431210 209527089105620 223813026999185 225644557498360 241029413691430 265132355060573 266670840679880 293337924747868 303008405783512 313338237798859 358100843198696 366672405934835 378760507229390 407895930862420 419054178211240 447626053998370 482058827382860 492388659398207 530264710121146 586675849495736 626676475597718 733344811869670 757521014458780 815791861724840 895252107996740 964117654765720 984777318796414 1060529420242292 1253352951195436 1325661775302865 1466689623739340 1515042028917560 1566691188994295 1790504215993480 1969554637592828 2121058840484584 2461943296991035 2506705902390872 2651323550605730 2933379247478680 3133382377988590 3446720615787449 3939109275185656 4923886593982070 5302647101211460 6266764755977180 6893441231574898 9847773187964140 10605294202422920 12533529511954360 13786882463149796 17233603078937245 19695546375928280 27573764926299592 34467206157874490 68934412315748980 137868824631497960
- Sum of all divisors σ(n): 428208089117356800
- Sum of proper divisors (its aliquot sum) s(n): 290339264485858840
- 137868824631497960 is an abundant number, because the sum of its proper divisors (290339264485858840) is greater than itself. Its abundance is 152470439854360880
Bases of 137868824631497960
- Binary: 1111010011100111011110111001011011100001011010100111010002
- Hexadecimal: 0x1E9CEF72DC2D4E8
- Base-36: 11PIF3O611PK
Squares and roots of 137868824631497960
- 137868824631497960 squared (1378688246314979602) is 19007812805270738605987753484161600
- 137868824631497960 cubed (1378688246314979603) is 2620584810278212743809279608637772528189342710336000
-
The
square root of 137868824631497960 is 371306914.3330056007 -
The
cube root of 137868824631497960 is 516601.1370261785
Scales and comparisons
How big is 137868824631497960?- 137,868,824,631,497,960 seconds is equal to 4,383,802,167 years, 2 days, 11 hours, 39 minutes, 20 seconds.
-
To count from 1 to 137,868,824,631,497,960 would take you about thirteen billion, one hundred fifty-one million, four hundred six thousand, five hundred 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 137868824631497960 cubic inches would be around 43050.1 feet tall.
Recreational maths with 137868824631497960
- 137868824631497960 backwards is 069794136428868731
- The number of decimal digits it has is: 18
- The sum of 137868824631497960's digits is 92
- More coming soon!
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"Number 137868824631497960 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 137868824631497960 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137868824631497960/
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The information we have on file for 137868824631497960 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 137868824631497960, math, Factors of 137868824631497960, curriculum, school, college, exams, university, Prime factorization of 137868824631497960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, eight hundred sixty-eight trillion, eight hundred twenty-four billion, six hundred thirty-one million, four hundred ninety-seven thousand, nine hundred sixty.