42768708640692440
42,768,708,640,692,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 42768708640692440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
42768708640692440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42768708640692440:
23 × 5 × 74 × 412 × 6072 × 719
(2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 41 × 41 × 607 × 607 × 719)See below for interesting mathematical facts about the number 42768708640692440 from the Numbermatics database.
Names of 42768708640692440
- Cardinal: 42768708640692440 can be written as Forty-two quadrillion, seven hundred sixty-eight trillion, seven hundred eight billion, six hundred forty million, six hundred ninety-two thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.276870864069244 × 1016
Factors of 42768708640692440
Divisors of 42768708640692440
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 343 392 410 490 574 607 686 719 820 980 1148 1214 1372 1435 1438 1640 1681 1715 1960 2009 2296 2401 2428 2744 2870 2876 3035 3362 3430 3595 4018 4249 4802 4856 5033 5740 5752 6070 6724 6860 7190 8036 8405 8498 9604 10045 10066 11480 11767 12005 12140 13448 13720 14063 14380 16072 16810 16996 19208 20090 20132 21245 23534 24010 24280 24887 25165 28126 28760 29479 29743 33620 33992 35231 40180 40264 42490 47068 48020 49774 50330 56252 58835 58958 59486 67240 70315 70462 80360 82369 84980 94136 96040 98441 99548 100660 112504 117670 117916 118972 124435 140630 140924 147395 148715 164738 169960 174209 176155 196882 199096 201320 206353 208201 235340 235832 237944 246617 248870 281260 281848 294790 297430 329476 348418 352310 368449 393764 411845 412706 416402 436433 470680 492205 493234 497740 562520 576583 589580 594860 658952 696836 704620 736898 787528 823690 825412 832804 871045 872866 984410 986468 995480 1020367 1031765 1041005 1153166 1179160 1189720 1208639 1219463 1233085 1393672 1409240 1444471 1457407 1473796 1647380 1650824 1665608 1726319 1742090 1745732 1842245 1968820 1972936 2040734 2063530 2082010 2182165 2306332 2417278 2438926 2466170 2579143 2882915 2888942 2914814 2947592 3055031 3294760 3452638 3484180 3491464 3684490 3937640 4036081 4081468 4127060 4164020 4364330 4612664 4834556 4877852 4932340 5101835 5158286 5765830 5777884 5829628 6043195 6097315 6110062 6905276 6968360 7142569 7222355 7287035 7368980 8072162 8162936 8254120 8328040 8460473 8536241 8631595 8728660 9669112 9755704 9864680 10111297 10203670 10316572 11531660 11555768 11659256 12086390 12194630 12220124 12895715 13810552 14285138 14444710 14574070 14737960 15106409 15275155 16144324 16920946 17072482 17263190 17457320 17893753 18054001 20180405 20222594 20407340 20633144 21385217 23063320 24172780 24389260 24440248 25791430 28570276 28889420 29148140 30212818 30550310 32288648 33841892 34144964 34526380 35712845 35787506 36108002 40360810 40445188 40814680 42302365 42681205 42770434 48345560 48778520 49997983 50556485 51582860 57140552 57778840 58296280 59223311 59753687 60425636 61100620 67683784 68289928 69052760 70779079 71425690 71575012 72216004 75532045 80721620 80890376 84604730 85362410 85540868 89468765 90270005 99995966 101112970 103165720 105744863 106926085 118446622 119507374 120851272 122201240 125256271 126378007 141558158 142851380 143150024 144432008 149696519 151064090 161443240 169209460 170724820 171081736 178937530 180540010 199991932 202225940 211489726 213852170 236893244 239014748 249989915 250512542 252756014 264914831 283116316 285702760 296116555 298768435 299393038 302128180 338418920 341449640 349985881 353895395 357875060 361080020 399983864 404451880 414563177 422979452 427704340 473786488 478029496 499979830 501025084 505512028 528724315 529829662 566232632 592233110 597536870 598786076 604256360 619362769 626281355 631890035 699971762 707790790 715750120 722160040 733643873 740214041 748482595 829126354 845958904 855408680 876793897 884646049 999959660 1002050168 1011024056 1047875633 1057448630 1059659324 1184466220 1195073740 1197572152 1238725538 1252562710 1263780070 1324574155 1399943524 1415581580 1467287746 1480428082 1496965190 1658252708 1749929405 1753587794 1769292098 1854403817 1999919320 2072815885 2095751266 2114897260 2119318648 2368932440 2390147480 2449901167 2477451076 2505125420 2527560140 2649148310 2799887048 2831163160 2901942239 2934575492 2960856164 2993930380 3096813845 3316505416 3499858810 3507175588 3538584196 3668219365 3701070205 3708807634 4145631770 4191502532 4229794520 4335539383 4383969485 4423230245 4899802334 4954902152 5010250840 5055120280 5135507111 5181498287 5239378165 5298296620 5803884478 5869150984 5921712328 5987860760 6137557279 6193627690 6999717620 7014351176 7077168392 7336438730 7402140410 7417615268 8291263540 8383005064 8671078766 8767938970 8846460490 9272019085 9799604668 10271014222 10362996574 10478756330 10596593240 10861508071 11607768956 12249505835 12275114558 12387255380 12980826719 13999435240 14509711195 14672877460 14804280820 14835230536 16582527080 17342157532 17535877940 17692920980 18544038170 19599209336 20542028444 20725993148 20957512660 21677696915 21723016142 23215537912 24499011670 24550229116 24774510760 25677535555 25907491435 25961653438 29019422390 29345754920 29608561640 30348775681 30687786395 34684315064 35071755880 35385841960 35948549777 36270488009 37088076340 41084056888 41451986296 41915025320 42962900953 43355393830 43446032284 48998023340 49100458232 51355071110 51814982870 51923306876 54307540355 58038844780 60697551362 61375572790 64904133595 71897099554 72540976018 74176152680 76030556497 85925801906 86710787660 86892064568 90865787033 97996046680 102710142220 103629965740 103846613752 108615080710 116077689560 121395102724 122751145580 129808267190 143794199108 145081952036 151743878405 152061112994 171851603812 173421575320 179742748885 181352440045 181731574066 205420284440 207259931480 212441429767 214814504765 217230161420 242790205448 245502291160 251639848439 259616534380 287588398216 290163904072 303487756810 304122225988 343703207624 359485497770 362704880090 363463148132 380152782485 424882859534 429629009530 434460322840 445321830911 454328935165 503279696878 519233068760 532213895479 606975513620 608244451976 636060509231 718970995540 725409760180 726926296264 760305564970 849765719068 859258019060 890643661822 908657870330 1006559393756 1062207148835 1064427790958 1213951027240 1258199242195 1272121018462 1437941991080 1450819520360 1487090008369 1520611129940 1699531438136 1718516038120 1761478939073 1781287323644 1817315740660 2013118787512 2124414297670 2128855581916 2226609154555 2516398484390 2544242036924 2661069477395 2974180016738 3041222259880 3117252816377 3180302546155 3522957878146 3562574647288 3634631481320 3725497268353 4248828595340 4257711163832 4453218309110 5032796968780 5088484073848 5322138954790 5948360033476 6234505632754 6360605092310 7045915756292 7435450041845 7450994536706 8497657190680 8807394695365 8906436618220 10065593937560 10644277909580 11896720066952 12469011265508 12721210184620 14091831512584 14870900083690 14901989073412 15586264081885 17614789390730 17812873236440 18627486341765 21288555819160 21820769714639 24938022531016 25442420369240 26078480878471 29741800167380 29803978146824 31172528163770 35229578781460 37254972683530 43641539429278 52156961756942 59483600334760 62345056327540 70459157562920 74509945367060 87283078858556 104313923513884 109103848573195 124690112655080 130392404392355 149019890734120 152745388002473 174566157717112 208627847027768 218207697146390 260784808784710 305490776004946 436415394292780 521569617569420 610981552009892 763726940012365 872830788585560 1043139235138840 1069217716017311 1221963104019784 1527453880024730 2138435432034622 3054907760049460 4276870864069244 5346088580086555 6109815520098920 8553741728138488 10692177160173110 21384354320346220 42768708640692440
- Sum of all divisors σ(n): 115416218045512800
- Sum of proper divisors (its aliquot sum) s(n): 72647509404820360
- 42768708640692440 is an abundant number, because the sum of its proper divisors (72647509404820360) is greater than itself. Its abundance is 29878800764127920
Bases of 42768708640692440
- Binary: 100101111111000111101001111101100000011111011000110110002
- Hexadecimal: 0x97F1E9F607D8D8
- Base-36: BP48PIDC1QW
Squares and roots of 42768708640692440
- 42768708640692440 squared (427687086406924402) is 1829162438792440178821842673153600
- 42768708640692440 cubed (427687086406924403) is 78230915401212292681778325033448465107702478784000
-
The
square root of 42768708640692440 is 206805968.5809199271 -
The
cube root of 42768708640692440 is 349710.5324732677
Scales and comparisons
How big is 42768708640692440?- 42,768,708,640,692,440 seconds is equal to 1,359,912,642 years, 24 weeks, 3 days, 20 hours, 47 minutes, 20 seconds.
-
To count from 1 to 42,768,708,640,692,440 would take you about four billion, seventy-nine million, seven hundred thirty-seven thousand, nine hundred twenty-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 42768708640692440 cubic inches would be around 29142.5 feet tall.
Recreational maths with 42768708640692440
- 42768708640692440 backwards is 04429604680786724
- The number of decimal digits it has is: 17
- The sum of 42768708640692440's digits is 77
- 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 42768708640692440 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 42768708640692440 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42768708640692440/
Chicago style:
Numbermatics. 2024. "Number 42768708640692440 - Facts about the integer". https://numbermatics.com/n/42768708640692440/
The information we have on file for 42768708640692440 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 42768708640692440, math, Factors of 42768708640692440, curriculum, school, college, exams, university, Prime factorization of 42768708640692440, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred sixty-eight trillion, seven hundred eight billion, six hundred forty million, six hundred ninety-two thousand, four hundred forty.