90400623385827456

Names of 90400623385827456

• Cardinal: 90400623385827456 can be written as Ninety quadrillion, four hundred trillion, six hundred twenty-three billion, three hundred eighty-five million, eight hundred twenty-seven thousand, four hundred fifty-six.

Scientific notation

• Scientific notation: 9.0400623385827456 × 10¹⁶

Factors of 90400623385827456

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3864012

Divisors of 90400623385827456

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 134784 182167 364334 546501 728668 1093002 1457336 1639503 2186004 2368171 2914672 3279006 3681827 4372008 4736342 4918509 5829344 6558012 7104513 7363654 8744016 9472684 9837018 11045481 11658688 13116024 14209026 14727308 14755527 17488032 18945368 19674036 21313539 22090962 23317376 26232048 28418052 29454616 29511054 33136443 34976064 37890736 39348072 42627078 44181924 47863751 52464096 56836104 58909232 59022108 63940617 66272886 69952128 75781472 78696144 85254156 88363848 95727502 99409329 104928192 113672208 117818464 118044216 127881234 132545772 143591253 151562944 157392288 170508312 176727696 191455004 191821851 198818658 209856384 227344416 235636928 236088432 255762468 265091544 287182506 298227987 303125888 314784576 341016624 353455392 382910008 383643702 397637316 430773759 454688832 471273856 472176864 511524936 530183088 574365012 596455974 629569152 682033248 706910784 765820016 767287404 795274632 861547518 909377664 944353728 1023049872 1060366176 1148730024 1192911948 1292321277 1364066496 1413821568 1531640032 1534574808 1590549264 1723095036 1888707456 2046099744 2120732352 2297460048 2385823896 2584642554 2728132992 3063280064 3069149616 3181098528 3446190072 3876963831 4092199488 4241464704 4594920096 4771647792 5169285108 6126560128 6138299232 6362197056 6892380144 7753927662 8184398976 9189840192 9543295584 10338570216 12276598464 12724394112 13784760288 15507855324 18379680384 19086591168 20677140432 24553196928 27569520576 31015710648 38173182336 41354280864 55139041152 62031421296 82708561728 124062842592 165417123456 248125685184 496251370368 670707379109 1341414758218 2012122137327 2682829516436 4024244274654 5365659032872 6036366411981 8048488549308 8719195928417 10731318065744 12072732823962 16096977098616 17438391856834 18109099235943 21462636131488 24145465647924 26157587785251 32193954197232 34876783713668 36218198471886 42925272262976 48290931295848 52315175570502 54327297707829 64387908394464 69753567427336 72436396943772 78472763355753 85850544525952 96581862591696 104630351141004 108654595415658 128775816788928 139507134854672 144872793887544 156945526711506 193163725183392 209260702282008 217309190831316 235418290067259 257551633577856 279014269709344 289745587775088 313891053423012 386327450366784 418521404564016 434618381662632 470836580134518 558028539418688 579491175550176 627782106846024 706254870201777 772654900733568 837042809128032 869236763325264 941673160269036 1116057078837376 1158982351100352 1255564213692048 1412509740403554 1674085618256064 1738473526650528 1883346320538072 2317964702200704 2511128427384096 2825019480807108 3348171236512128 3476947053301056 3766692641076144 5022256854768192 5650038961614216 6953894106602112 7533385282152288 10044513709536384 11300077923228432 15066770564304576 22600155846456864 30133541128609152 45200311692913728 90400623385827456
• Sum of all divisors σ(n): 289727135683634880
• Sum of proper divisors (its aliquot sum) s(n): 199326512297807424
• 90400623385827456 is an abundant number, because the sum of its proper divisors (199326512297807424) is greater than itself. Its abundance is 108925888911979968

Bases of 90400623385827456

• Binary: 101000001001010101110001101010100011000101101100010000000₂
• Hexadecimal: 0x1412AE35462D880
• Base-36: OQ4CH28ZS00

Squares and roots of 90400623385827456

• 90400623385827456 squared (90400623385827456²) is 8172272708546213934673001803431936
• 90400623385827456 cubed (90400623385827456³) is 738778547331562352862335845157005030197683936034816
• The square root of 90400623385827456 is 300666964.2408814025
• The cube root of 90400623385827456 is 448804.4369446163

Scales and comparisons

• 90,400,623,385,827,456 seconds is equal to 2,874,460,196 years, 9 weeks, 3 days, 57 minutes, 36 seconds.
• To count from 1 to 90,400,623,385,827,456 would take you about eight billion, six hundred twenty-three million, three hundred eighty thousand, five hundred eighty-eight 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 90400623385827456 cubic inches would be around 37400.4 feet tall.

Recreational maths with 90400623385827456

• 90400623385827456 backwards is 65472858332600409
• 90400623385827456 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 90400623385827456's digits is 72
• More coming soon!