40948870322061312

Names of 40948870322061312

• Cardinal: 40948870322061312 can be written as Forty quadrillion, nine hundred forty-eight trillion, eight hundred seventy billion, three hundred twenty-two million, sixty-one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.0948870322061312 × 10¹⁶

Factors of 40948870322061312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 596

Divisors of 40948870322061312

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 169 192 208 222 256 296 312 338 384 416 444 481 507 512 541 592 624 676 768 832 888 962 1014 1024 1082 1184 1248 1352 1369 1443 1536 1623 1664 1776 1924 2028 2048 2164 2197 2368 2496 2704 2738 2886 3072 3246 3328 3552 3848 4056 4096 4107 4328 4394 4736 4992 5408 5476 5772 6144 6253 6492 6591 6656 7033 7104 7696 8112 8192 8214 8656 8788 9472 9984 10816 10952 11544 12288 12506 12984 13182 13312 14066 14208 15392 16224 16384 16428 17312 17576 17797 18759 18944 19968 20017 21099 21632 21904 23088 24576 25012 25968 26364 26624 28132 28416 30784 32448 32768 32856 34624 35152 35594 37518 37888 39936 40034 42198 43264 43808 46176 49152 50024 51936 52728 53248 53391 56264 56832 60051 61568 64896 65536 65712 69248 70304 71188 75036 75776 79872 80068 81289 84396 86528 87616 91429 92352 98304 100048 103872 105456 106496 106782 112528 113664 120102 123136 129792 131072 131424 138496 140608 142376 150072 151552 159744 160136 162578 168792 173056 175232 182858 184704 196608 200096 207744 210912 212992 213564 225056 227328 231361 240204 243867 246272 259584 260221 262144 262848 274287 276992 281216 284752 300144 303104 319488 320272 325156 337584 346112 350464 365716 369408 393216 400192 415488 421824 425984 427128 450112 454656 462722 480408 487734 492544 519168 520442 524288 525696 548574 553984 562432 569504 600288 606208 638976 640544 650312 675168 692224 694083 700928 731432 738816 740629 780663 786432 800384 830976 843648 851968 854256 900224 909312 925444 960816 975468 985088 1038336 1040884 1048576 1051392 1097148 1107968 1124864 1139008 1188577 1200576 1212416 1277952 1281088 1300624 1350336 1384448 1388166 1401856 1462864 1477632 1481258 1561326 1572864 1600768 1661952 1687296 1703936 1708512 1800448 1818624 1850888 1921632 1950936 1970176 2076672 2081768 2097152 2102784 2194296 2215936 2221887 2249728 2278016 2377154 2401152 2424832 2555904 2562176 2601248 2700672 2768896 2776332 2803712 2925728 2955264 2962516 3007693 3122652 3145728 3201536 3323904 3374592 3382873 3407872 3417024 3565731 3600896 3637248 3701776 3843264 3901872 3940352 4153344 4163536 4194304 4205568 4388592 4431872 4443774 4499456 4556032 4754308 4802304 4849664 5111808 5124352 5202496 5401344 5537792 5552664 5607424 5851456 5910528 5925032 6015386 6245304 6291456 6403072 6647808 6749184 6765746 6815744 6834048 7131462 7201792 7274496 7403552 7686528 7803744 7880704 8306688 8327072 8388608 8411136 8777184 8863744 8887548 8998912 9023079 9112064 9508616 9604608 9628177 9699328 10148619 10223616 10248704 10404992 10802688 11075584 11105328 11214848 11702912 11821056 11850064 12030772 12490608 12582912 12806144 13295616 13498368 13531492 13631488 13668096 14262924 14403584 14548992 14807104 15373056 15607488 15761408 16613376 16654144 16822272 17554368 17727488 17775096 17997824 18046158 18224128 19017232 19209216 19256354 19398656 20297238 20447232 20497408 20809984 21605376 22151168 22210656 22429696 23405824 23642112 23700128 24061544 24981216 25165824 25612288 26591232 26996736 27062984 27262976 27336192 28525848 28807168 28884531 29097984 29614208 30746112 31214976 31522816 33226752 33308288 33644544 35108736 35454976 35550192 35995648 36092316 36448256 38034464 38418432 38512708 38797312 40594476 40894464 40994816 41619968 43210752 43977349 44302336 44421312 44859392 46811648 47284224 47400256 48123088 49962432 51224576 53182464 53993472 54125968 54525952 54672384 57051696 57614336 57769062 58195968 59228416 61492224 62429952 63045632 66453504 66616576 67289088 70217472 70909952 71100384 71991296 72184632 72896512 76068928 76836864 77025416 77594624 81188952 81788928 81989632 83239936 86421504 87954698 88604672 88842624 89718784 93623296 94568448 94800512 96246176 99924864 102449152 106364928 107986944 108251936 109051904 109344768 114103392 115228672 115538124 116391936 118456832 122984448 124859904 125166301 126091264 131932047 132907008 133233152 134578176 140434944 141819904 142200768 143982592 144369264 145793024 152137856 153673728 154050832 155189248 162377904 163577856 163979264 166479872 172843008 175909396 177209344 177685248 179437568 187246592 189136896 189601024 192492352 199849728 204898304 212729856 215973888 216503872 218689536 228206784 230457344 231076248 232783872 236913664 245968896 249719808 250332602 252182528 263864094 265814016 266466304 269156352 280869888 283639808 284401536 287965184 288738528 291586048 304275712 307347456 308101664 310378496 324755808 327155712 327958528 332959744 345686016 351818792 354418688 355370496 358875136 374493184 375498903 378273792 379202048 384984704 399699456 409796608 425459712 431947776 433007744 437379072 456413568 460914688 462152496 465567744 473827328 491937792 499439616 500665204 504365056 527728188 531628032 532932608 538312704 561739776 567279616 568803072 575930368 577477056 583172096 608551424 614694912 616203328 649511616 655917056 665919488 691372032 703637584 708837376 710740992 717750272 748986368 750997806 756547584 758404096 769969408 799398912 819593216 850919424 863895552 866015488 874758144 912827136 921829376 924304992 931135488 947654656 983875584 998879232 1001330408 1008730112 1055456376 1063256064 1065865216 1076625408 1123479552 1134559232 1137606144 1151860736 1154954112 1166344192 1217102848 1229389824 1232406656 1299023232 1311834112 1331838976 1382744064 1407275168 1417674752 1421481984 1435500544 1497972736 1501995612 1513095168 1516808192 1539938816 1598797824 1627161913 1639186432 1701838848 1727791104 1732030976 1749516288 1825654272 1843658752 1848609984 1895309312 1967751168 1997758464 2002660816 2017460224 2110912752 2126512128 2131730432 2153250816 2246959104 2269118464 2275212288 2303721472 2309908224 2332688384 2434205696 2458779648 2464813312 2598046464 2623668224 2663677952 2765488128 2814550336 2842963968 2871001088 2995945472 3003991224 3026190336 3033616384 3079877632 3197595648 3254323826 3278372864 3403677696 3455582208 3464061952 3499032576 3651308544 3687317504 3697219968 3790618624 3935502336 3995516928 4005321632 4034920448 4221825504 4253024256 4263460864 4306501632 4493918208 4538236928 4550424576 4607442944 4619816448 4665376768 4868411392 4881485739 4917559296 4929626624 5196092928 5247336448 5327355904 5530976256 5629100672 5685927936 5742002176 5991890944 6007982448 6052380672 6067232768 6159755264 6395191296 6508647652 6556745728 6807355392 6911164416 6928123904 6998065152 7302617088 7374635008 7394439936 7581237248 7871004672 7991033856 8010643264 8443651008 8526921728 8613003264 8987836416 9100849152 9214885888 9239632896 9330753536 9736822784 9762971478 9835118592 9859253248 10392185856 10494672896 10654711808 11061952512 11258201344 11371855872 11484004352 11983781888 12015964896 12104761344 12134465536 12319510528 12790382592 13017295304 13113491456 13614710784 13822328832 13856247808 13996130304 14605234176 14749270016 14788879872 15162474496 15742009344 15982067712 16021286528 16887302016 17053843456 17226006528 17975672832 18201698304 18429771776 18479265792 18661507072 19473645568 19525942956 19670237184 19718506496 20784371712 20989345792 21309423616 22123905024 22516402688 22743711744 23967563776 24031929792 24268931072 24639021056 25580765184 26034590608 26226982912 27644657664 27712495616 27992260608 29210468352 29498540032 29577759744 30324948992 31484018688 31964135424 32042573056 33774604032 34107686912 34452013056 35951345664 36403396608 36958531584 37323014144 38947291136 39051885912 39340474368 39437012992 41568743424 41978691584 42618847232 44247810048 45032805376 45487423488 47935127552 48063859584 48537862144 49278042112 51161530368 52069181216 52453965824 55289315328 55424991232 55984521216 58420936704 58997080064 59155519488 60649897984 62968037376 63928270848 64085146112 67549208064 68215373824 71902691328 72806793216 73917063168 74646028288 77894582272 78103771824 78680948736 78874025984 83137486848 83957383168 85237694464 88495620096 90065610752 90974846976 95870255104 96127719168 97075724288 98556084224 102323060736 104138362432 110849982464 111969042432 116841873408 118311038976 121299795968 125936074752 127856541696 128170292224 135098416128 136430747648 143805382656 145613586432 147834126336 149292056576 155789164544 156207543648 157361897472 157748051968 166274973696 167914766336 170475388928 176991240192 180131221504 181949693952 191740510208 192255438336 194151448576 197112168448 204646121472 208276724864 221699964928 223938084864 233683746816 236622077952 242599591936 251872149504 255713083392 256340584448 270196832256 272861495296 287610765312 291227172864 295668252672 311578329088 312415087296 315496103936 332549947392 340950777856 360262443008 363899387904 383481020416 384510876672 388302897152 394224336896 409292242944 416553449728 443399929856 447876169728 467367493632 473244155904 485199183872 503744299008 511426166784 512681168896 540393664512 545722990592 575221530624 582454345728 591336505344 623156658176 624830174592 630992207872 665099894784 681901555712 720524886016 727798775808 766962040832 769021753344 776605794304 788448673792 818584485888 833106899456 886799859712 934734987264 946488311808 970398367744 1022852333568 1025362337792 1080787329024 1091445981184 1150443061248 1164908691456 1182673010688 1246313316352 1249660349184 1261984415744 1330199789568 1441049772032 1455597551616 1538043506688 1553211588608 1576897347584 1637168971776 1666213798912 1773599719424 1869469974528 1892976623616 1940796735488 2045704667136 2050724675584 2161574658048 2182891962368 2300886122496 2329817382912 2365346021376 2492626632704 2499320698368 2523968831488 2660399579136 2882099544064 2911195103232 3076087013376 3106423177216 3153794695168 3274337943552 3332427597824 3547199438848 3738939949056 3785953247232 4101449351168 4323149316096 4659634765824 4730692042752 4985253265408 4998641396736 5047937662976 5320799158272 5764199088128 5822390206464 6152174026752 6212846354432 6307589390336 6548675887104 6664855195648 7094398877696 7477879898112 7571906494464 8202898702336 8646298632192 9319269531648 9461384085504 9970506530816 9997282793472 10095875325952 10641598316544 11528398176256 12304348053504 12615178780672 13329710391296 14188797755392 14955759796224 15143812988928 16405797404672 17292597264384 18638539063296 18922768171008 19994565586944 20191750651904 21283196633088 23056796352512 24608696107008 25230357561344 26659420782592 28377595510784 29911519592448 30287625977856 32811594809344 34585194528768 37845536342016 39989131173888 40383501303808 42566393266176 46113592705024 49217392214016 53318841565184 60575251955712 65623189618688 69170389057536 75691072684032 79978262347776 80767002607616 85132786532352 92227185410048 98434784428032 106637683130368 121150503911424 131246379237376 138340778115072 159956524695552 184454370820096 196869568856064 213275366260736 242301007822848 262492758474752 276681556230144 319913049391104 368908741640192 393739137712128 426550732521472 524985516949504 553363112460288 639826098782208 787478275424256 853101465042944 1049971033899008 1106726224920576 1279652197564416 1574956550848512 1706202930085888 2559304395128832 3149913101697024 3412405860171776 5118608790257664 6824811720343552 10237217580515328 13649623440687104 20474435161030656 40948870322061312
• Sum of all divisors σ(n): 121800817279159200
• Sum of proper divisors (its aliquot sum) s(n): 80851946957097888
• 40948870322061312 is an abundant number, because the sum of its proper divisors (80851946957097888) is greater than itself. Its abundance is 39903076635036576

Bases of 40948870322061312

• Binary: 10010001011110101100011111010101100000000000000000000000₂
• Hexadecimal: 0x917AC7D5800000
• Base-36: B775VBT962O

Squares and roots of 40948870322061312

• 40948870322061312 squared (40948870322061312²) is 1676809980652993697958368687161344
• 40948870322061312 cubed (40948870322061312³) is 68663474452497576392314271874844485248180004323328
• The square root of 40948870322061312 is 202358272.1858963491
• The cube root of 40948870322061312 is 344678.3260088053

Scales and comparisons

• 40,948,870,322,061,312 seconds is equal to 1,302,047,413 years, 3 weeks, 4 days, 4 hours, 35 minutes, 12 seconds.
• To count from 1 to 40,948,870,322,061,312 would take you about three billion, nine hundred six million, one hundred forty-two thousand, two hundred thirty-nine 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 40948870322061312 cubic inches would be around 28723.2 feet tall.

Recreational maths with 40948870322061312

• 40948870322061312 backwards is 21316022307884904
• The number of decimal digits it has is: 17
• The sum of 40948870322061312's digits is 60
• More coming soon!