400764264122009088

Names of 400764264122009088

• Cardinal: 400764264122009088 can be written as Four hundred quadrillion, seven hundred sixty-four trillion, two hundred sixty-four billion, one hundred twenty-two million, nine thousand and eighty-eight.

Scientific notation

• Scientific notation: 4.00764264122009088 × 10¹⁷

Factors of 400764264122009088

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 18665090

Divisors of 400764264122009088

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 256 288 324 336 378 384 432 448 504 512 567 576 648 672 756 768 864 896 1008 1134 1152 1296 1344 1512 1536 1728 1792 2016 2268 2304 2592 2688 3024 3456 3584 4032 4536 4608 5184 5376 6048 6912 8064 9072 10368 10752 12096 13824 16128 18144 20736 24192 32256 36288 41472 48384 72576 74257 96768 145152 148514 222771 290304 297028 445542 519799 594056 668313 891084 1039598 1188112 1336626 1559397 1782168 2004939 2079196 2376224 2673252 3118794 3564336 4009878 4158392 4678191 4752448 5346504 6014817 6237588 7128672 8019756 8316784 9356382 9504896 10693008 12029634 12475176 14034573 14257344 16039512 16633568 18590821 18712764 19009792 21386016 24059268 24950352 28069146 28514688 32079024 33267136 37181642 37425528 38019584 42103719 42772032 48118536 49900704 55772463 56138292 57029376 64158048 66534272 74363284 74851056 84207438 85544064 96237072 99801408 111544926 112276584 114058752 128316096 130135747 133068544 148726568 149702112 167317389 168414876 171088128 192474144 199602816 223089852 224553168 256632192 260271494 266137088 297453136 299404224 334634778 336829752 342176256 384948288 390407241 399205632 446179704 449106336 501952167 513264384 520542988 594906272 598808448 669269556 673659504 769896576 780814482 798411264 892359408 898212672 1003904334 1026528768 1041085976 1171221723 1189812544 1197616896 1338539112 1347319008 1505856501 1539793152 1561628964 1784718816 1796425344 2007808668 2082171952 2342443446 2379625088 2395233792 2677078224 2694638016 3011713002 3079586304 3123257928 3513665169 3569437632 3592850688 4015617336 4164343904 4684886892 4759250176 5354156448 5389276032 6023426004 6246515856 7027330338 7138875264 7185701376 8031234672 8328687808 9369773784 9518500352 10540995507 10708312896 10778552064 12046852008 12493031712 14054660676 14277750528 16062469344 16657375616 18739547568 21081991014 21416625792 21557104128 24093704016 24986063424 28109321352 28555501056 32124938688 33314751232 37479095136 42163982028 42833251584 48187408032 49972126848 56218642704 64249877376 66629502464 74958190272 84327964056 85666503168 96374816064 99944253696 112437285408 128499754752 149916380544 168655928112 192749632128 199888507392 224874570816 256999509504 299832761088 337311856224 385499264256 449749141632 599665522176 674623712448 770998528512 899498283264 1349247424896 1380498594997 1798996566528 2698494849792 2760997189994 4141495784991 5396989699584 5521994379988 8282991569982 9663490164979 11043988759976 12424487354973 16565983139964 19326980329958 22087977519952 24848974709946 28990470494937 33131966279928 37273462064919 38653960659916 44175955039904 49697949419892 57980940989874 66263932559856 74546924129838 77307921319832 86971411484811 88351910079808 99395898839784 111820386194757 115961881979748 132527865119712 149093848259676 154615842639664 173942822969622 176703820159616 198791797679568 223640772389514 231923763959496 260914234454433 265055730239424 298187696519352 309231685279328 347885645939244 353407640319232 397583595359136 447281544779028 463847527918992 521828468908866 530111460478848 596375393038704 618463370558656 695771291878488 706815280638464 782742703363299 795167190718272 894563089558056 927695055837984 1043656937817732 1060222920957696 1192750786077408 1236926741117312 1391542583756976 1565485406726598 1590334381436544 1789126179116112 1855390111675968 2087313875635464 2120445841915392 2385501572154816 2473853482234624 2783085167513952 3130970813453196 3180668762873088 3578252358232224 3710780223351936 4174627751270928 4771003144309632 4947706964469248 5566170335027904 6261941626906392 6361337525746176 7156504716464448 7421560446703872 8349255502541856 9542006288619264 11132340670055808 12523883253812784 14313009432928896 14843120893407744 16698511005083712 19084012577238528 22264681340111616 25047766507625568 28626018865857792 33397022010167424 44529362680223232 50095533015251136 57252037731715584 66794044020334848 100191066030502272 133588088040669696 200382132061004544 400764264122009088
• Sum of all divisors σ(n): 1367076544031900064
• Sum of proper divisors (its aliquot sum) s(n): 966312279909890976
• 400764264122009088 is an abundant number, because the sum of its proper divisors (966312279909890976) is greater than itself. Its abundance is 565548015787881888

Bases of 400764264122009088

• Binary: 10110001111110011001111100110010001101010011100011000000000₂
• Hexadecimal: 0x58FCCF991A9C600
• Base-36: 31M32PAFKW00

Squares and roots of 400764264122009088

• 400764264122009088 squared (400764264122009088²) is 160611995397255460722148681554591744
• 400764264122009088 cubed (400764264122009088³) is 64367548144548595416572161327525518141514576897769472
• The square root of 400764264122009088 is 633059447.5418632341
• The cube root of 400764264122009088 is 737275.2633611661

Scales and comparisons

• 400,764,264,122,009,088 seconds is equal to 12,743,063,953 years, 42 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 400,764,264,122,009,088 would take you about thirty-eight billion, two hundred twenty-nine million, one hundred ninety-one thousand, eight hundred sixty-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 400764264122009088 cubic inches would be around 61439.6 feet tall.

Recreational maths with 400764264122009088

• 400764264122009088 backwards is 880900221462467004
• 400764264122009088 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 400764264122009088's digits is 63
• More coming soon!