90420671718472320
90,420,671,718,472,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 90420671718472320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
90420671718472320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 90420671718472320:
27 × 32 × 5 × 432 × 4092 × 50753
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 43 × 43 × 409 × 409 × 50753)See below for interesting mathematical facts about the number 90420671718472320 from the Numbermatics database.
Names of 90420671718472320
- Cardinal: 90420671718472320 can be written as Ninety quadrillion, four hundred twenty trillion, six hundred seventy-one billion, seven hundred eighteen million, four hundred seventy-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.042067171847232 × 1016
Factors of 90420671718472320
Divisors of 90420671718472320
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 64 72 80 86 90 96 120 128 129 144 160 172 180 192 215 240 258 288 320 344 360 384 387 409 430 480 516 576 640 645 688 720 774 818 860 960 1032 1152 1227 1290 1376 1440 1548 1636 1720 1849 1920 1935 2045 2064 2454 2580 2752 2880 3096 3272 3440 3681 3698 3870 4090 4128 4908 5160 5504 5547 5760 6135 6192 6544 6880 7362 7396 7740 8180 8256 9245 9816 10320 11094 12270 12384 13088 13760 14724 14792 15480 16360 16512 16641 17587 18405 18490 19632 20640 22188 24540 24768 26176 27520 27735 29448 29584 30960 32720 33282 35174 36810 36980 39264 41280 44376 49080 49536 50753 52352 52761 55470 58896 59168 61920 65440 66564 70348 73620 73960 78528 82560 83205 87935 88752 98160 101506 105522 110940 117792 118336 123840 130880 133128 140696 147240 147920 152259 157056 158283 166410 167281 175870 177504 196320 203012 211044 221880 235584 236672 247680 253765 261760 263805 266256 281392 294480 295840 304518 316566 332820 334562 351740 355008 392640 406024 422088 443760 456777 471168 501843 507530 527610 532512 562784 588960 591680 609036 633132 665640 669124 703480 710016 756241 761295 785280 791415 812048 836405 844176 887520 913554 1003686 1015060 1055220 1065024 1125568 1177920 1183360 1218072 1266264 1331280 1338248 1406960 1505529 1512482 1522590 1582830 1624096 1672810 1688352 1775040 1827108 2007372 2030120 2110440 2130048 2182379 2251136 2268723 2283885 2355840 2436144 2509215 2532528 2662560 2676496 2813920 3011058 3024964 3045180 3165660 3248192 3345620 3376704 3550080 3654216 3781205 4014744 4060240 4220880 4364758 4537446 4567770 4872288 5018430 5065056 5325120 5352992 5627840 6022116 6049928 6090360 6331320 6496384 6547137 6691240 6753408 6806169 7193083 7308432 7527645 7562410 8029488 8120480 8441760 8729516 9074892 9135540 9744576 10036860 10130112 10650240 10705984 10911895 11255680 11343615 12044232 12099856 12180720 12662640 13094274 13382480 13612338 14386166 14616864 15055290 15124820 16058976 16240960 16883520 17459032 18149784 18271080 19489152 19641411 20073720 20260224 20757977 21411968 21579249 21823790 22687230 24088464 24199712 24361440 25325280 26188548 26764960 27224676 28772332 29233728 30110580 30249640 32117952 32481920 32735685 33767040 34030845 34918064 35965415 36299568 36542160 39282822 40147440 41515954 43158498 43647580 45374460 48176928 48399424 48722880 50650560 52377096 53529920 54449352 57544664 58467456 60221160 60499280 62273931 64235904 64737747 65471370 68061690 69836128 71930830 72599136 73084320 78565644 80294880 83031908 86316996 87295160 90748920 93842297 96353856 96798848 97445760 98207055 101301120 103789885 104754192 107059840 107896245 108898704 115089328 120442320 120998560 124547862 129475494 130942740 136123380 139672256 143861660 145198272 146168640 157131288 160589760 166063816 172633992 174590320 181497840 186821793 187684594 192707712 196414110 207579770 209508384 215792490 217797408 230178656 240884640 241997120 249095724 258950988 261885480 272246760 279344512 281526891 287723320 290396544 292337280 309302569 311369655 314262576 321179520 323688735 332127632 345267984 349180640 362995680 373643586 375369188 392828220 415159540 419016768 431584980 435594816 460357312 469211485 481769280 483994240 498191448 517901976 523770960 544493520 563053782 575446640 618605138 622739310 628525152 647377470 664255264 690535968 698361280 725991360 747287172 750738376 785656440 830319080 838033536 844580673 863169960 871189632 892593011 920714624 927907707 934108965 938422970 963538560 996382896 1035803952 1047541920 1088987040 1126107564 1150893280 1237210276 1245478620 1257050304 1294754940 1328510528 1381071936 1396722560 1407634455 1451982720 1494574344 1501476752 1546512845 1571312880 1660638160 1689161346 1726339920 1785186022 1855815414 1868217930 1876845940 1992765792 2071607904 2095083840 2177974080 2252215128 2301786560 2474420552 2490957240 2514100608 2589509880 2657021056 2677779033 2762143872 2783723121 2815268910 2989148688 3002953504 3093025690 3142625760 3321276320 3378322692 3452679840 3570372044 3711630828 3736435860 3753691880 3985531584 4143215808 4190167680 4222903365 4355948160 4462965055 4504430256 4603573120 4639538535 4948841104 4981914480 5179019760 5355558066 5567446242 5630537820 5978297376 6005907008 6186051380 6285251520 6642552640 6756645384 6905359680 7140744088 7423261656 7472871720 7507383760 7971063168 8033337099 8286431616 8445806730 8490012593 8925930110 9008860512 9279077070 9897682208 9963828960 10358039520 10711116132 11134892484 11261075640 11956594752 12011814016 12372102760 12570503040 13285105280 13388895165 13513290768 13810719360 13918615605 14281488176 14846523312 14945743440 15014767520 16066674198 16891613460 16980025186 17851860220 18017721024 18558154140 19795364416 19927657920 20716079040 21422232264 22269784968 22522151280 23913189504 24744205520 25470037779 26777790330 27026581536 27837231210 28562976352 29693046624 29891486880 30029535040 32133348396 33783226920 33960050372 35703720440 36035442048 37116308280 38381499473 39590728832 39855315840 40166685495 41432158080 42450062965 42844464528 44539569936 45044302560 49488411040 50940075558 53555580660 54053163072 55674462420 57125952704 59386093248 59782973760 60059070080 64266696792 67566453840 67920100744 71407440880 74232616560 76410113337 76762998946 80333370990 84900125930 85688929056 89079139872 90088605120 98976822080 101880151116 107111161320 108106326144 111348924840 114251905408 115144498419 118772186496 119565947520 127350188895 128533393584 135132907680 135840201488 142814881760 148465233120 152820226674 153525997892 160666741980 169800251860 171377858112 178158279744 180177210240 191907497365 197953644160 203760302232 214222322640 222697849680 230288996838 254700377790 257066787168 270265815360 271680402976 285629763520 296930466240 305640453348 307051995784 321333483960 339600503720 342755716224 345433495257 356316559488 365070541499 382050566685 383814994730 407520604464 428444645280 445395699360 460577993676 509400755580 514133574336 540531630720 543360805952 571259527040 575722492095 593860932480 611280906696 614103991568 642666967920 679201007440 690866990514 730141082998 764101133370 767629989460 815041208928 856889290560 890791398720 921155987352 1018801511160 1028267148672 1086721611904 1095211624497 1151444984190 1222561813392 1228207983136 1285333935840 1358402014880 1381733981028 1460282165996 1528202266740 1535259978920 1630082417856 1713778581120 1727167476285 1781582797440 1825352707495 1842311974704 2037603022320 2190423248994 2302889968380 2445123626784 2456415966272 2570667871680 2716804029760 2763467962056 2920564331992 3056404533480 3070519957840 3260164835712 3285634873491 3454334952570 3650705414990 3684623949408 4075206044640 4380846497988 4605779936760 4890247253568 4912831932544 5141335743360 5433608059520 5476058122485 5526935924112 5841128663984 6112809066960 6141039915680 6571269746982 6908669905140 7301410829980 7369247898816 8150412089280 8761692995976 9211559873520 9780494507136 10952116244970 11053871848224 11682257327968 12225618133920 12282079831360 13142539493964 13817339810280 14602821659960 14738495797632 15698033284457 16300824178560 16428174367455 17523385991952 18423119747040 21904232489940 22107743696448 23364514655936 24451236267840 24564159662720 26285078987928 27634679620560 29205643319920 31396066568914 32856348734910 35046771983904 36846239494080 43808464979880 44215487392896 46729029311872 47094099853371 48902472535680 52570157975856 55269359241120 58411286639840 62792133137828 65712697469820 70093543967808 73692478988160 78490166422285 87616929959760 94188199706742 105140315951712 110538718482240 116822573279680 125584266275656 131425394939640 140187087935616 141282299560113 156980332844570 175233859919520 188376399413484 210280631903424 221077436964480 233645146559360 235470499266855 251168532551312 262850789879280 282564599120226 313960665689140 350467719839040 376752798826968 420561263806848 470940998533710 502337065102624 525701579758560 565129198240452 627921331378280 700935439678080 706411497800565 753505597653936 941881997067420 1004674130205248 1051403159517120 1130258396480904 1255842662756560 1412822995601130 1507011195307872 1883763994134840 2009348260410496 2102806319034240 2260516792961808 2511685325513120 2825645991202260 3014022390615744 3767527988269680 4521033585923616 5023370651026240 5651291982404520 6028044781231488 7535055976539360 9042067171847232 10046741302052480 11302583964809040 15070111953078720 18084134343694464 22605167929618080 30140223906157440 45210335859236160 90420671718472320
- Sum of all divisors σ(n): 320453800827654780
- Sum of proper divisors (its aliquot sum) s(n): 230033129109182460
- 90420671718472320 is an abundant number, because the sum of its proper divisors (230033129109182460) is greater than itself. Its abundance is 139612457390710140
Bases of 90420671718472320
- Binary: 1010000010011110100011111001100100010000110111010100000002
- Hexadecimal: 0x1413D1F3221BA80
- Base-36: OQBGB50M8W0
Squares and roots of 90420671718472320
- 90420671718472320 squared (904206717184723202) is 8175897874019740054855914606182400
- 90420671718472320 cubed (904206717184723203) is 739270177670494676635678970018969589216155271168000
-
The
square root of 90420671718472320 is 300700302.1589308613 -
The
cube root of 90420671718472320 is 448837.6119207659
Scales and comparisons
How big is 90420671718472320?- 90,420,671,718,472,320 seconds is equal to 2,875,097,671 years, 7 weeks, 4 days, 3 hours, 12 minutes.
-
To count from 1 to 90,420,671,718,472,320 would take you about eight billion, six hundred twenty-five million, two hundred ninety-three thousand and thirteen 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 90420671718472320 cubic inches would be around 37403.1 feet tall.
Recreational maths with 90420671718472320
- 90420671718472320 backwards is 02327481717602409
- The number of decimal digits it has is: 17
- The sum of 90420671718472320's digits is 63
- More coming soon!
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The information we have on file for 90420671718472320 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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