468827521417216

Names of 468827521417216

• Cardinal: 468827521417216 can be written as Four hundred sixty-eight trillion, eight hundred twenty-seven billion, five hundred twenty-one million, four hundred seventeen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.68827521417216 × 10¹⁴

Factors of 468827521417216

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 271

Divisors of 468827521417216

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 89 104 128 167 169 178 208 256 334 338 356 416 512 668 676 712 832 1024 1157 1336 1352 1424 1664 2048 2171 2314 2672 2704 2848 3328 4096 4342 4628 5344 5408 5696 6656 7921 8192 8684 9256 10688 10816 11392 13312 14863 15041 15842 16384 17368 18512 21376 21632 22784 26624 28223 29726 30082 31684 32768 34736 37024 42752 43264 45568 53248 56446 59452 60164 63368 65536 69472 74048 85504 86528 91136 102973 106496 112892 118904 120328 126736 131072 138944 148096 171008 173056 182272 193219 205946 212992 225784 237808 240656 253472 262144 277888 296192 342016 346112 364544 386438 411892 425984 451568 475616 481312 506944 524288 555776 592384 684032 692224 729088 772876 823784 851968 903136 951232 962624 1013888 1048576 1111552 1184768 1322807 1338649 1368064 1384448 1458176 1545752 1647568 1703936 1806272 1902464 1925248 2027776 2097152 2223104 2369536 2511847 2645614 2677298 2736128 2768896 2916352 3091504 3295136 3407872 3612544 3804928 3850496 4055552 4446208 4739072 5023694 5291228 5354596 5472256 5537792 5832704 6183008 6590272 6815744 7225088 7609856 7700992 8111104 8892416 9478144 10047388 10582456 10709192 10944512 11075584 11665408 12366016 13180544 13631488 14450176 15219712 15401984 16222208 17196491 17784832 18956288 20094776 21164912 21418384 21889024 22151168 23330816 24732032 26361088 27262976 28900352 30439424 30803968 32444416 34392982 35569664 37912576 40189552 42329824 42836768 43778048 44302336 46661632 49464064 52722176 57800704 60878848 61607936 64888832 68785964 71139328 75825152 80379104 84659648 85673536 87556096 88604672 93323264 98928128 105444352 115601408 121757696 123215872 129777664 137571928 142278656 151650304 160758208 169319296 171347072 175112192 177209344 186646528 197856256 210888704 223554383 231202816 243515392 246431744 259555328 275143856 284557312 303300608 321516416 338638592 342694144 350224384 354418688 395712512 421777408 447108766 462405632 487030784 492863488 519110656 550287712 569114624 606601216 643032832 677277184 685388288 791425024 843554816 894217532 924811264 974061568 985726976 1038221312 1100575424 1138229248 1213202432 1286065664 1354554368 1370776576 1582850048 1687109632 1788435064 1849622528 1948123136 1971453952 2076442624 2201150848 2276458496 2426404864 2572131328 2709108736 2741553152 3165700096 3374219264 3576870128 3699245056 3896246272 3942907904 4152885248 4402301696 4552916992 5144262656 5418217472 5483106304 6331400192 6748438528 7153740256 7398490112 7792492544 7885815808 8305770496 8804603392 10288525312 10836434944 10966212608 12662800384 13496877056 14307480512 14796980224 15584985088 15771631616 16611540992 17609206784 20577050624 21672869888 21932425216 25325600768 26993754112 28614961024 29593960448 31169970176 31543263232 35218413568 41154101248 43345739776 43864850432 50651201536 53987508224 57229922048 59187920896 70436827136 82308202496 86691479552 87729700864 101302403072 107975016448 114459844096 140873654272 164616404992 173382959104 175459401728 202604806144 215950032896 228919688192 281747308544 329232809984 346765918208 350918803456 405209612288 457839376384 563494617088 658465619968 693531836416 701837606912 915678752768 1126989234176 1316931239936 1387063672832 1403675213824 1831357505536 2253978468352 2633862479872 2774127345664 2807350427648 3662715011072 4507956936704 5267724959744 7325430022144 9015913873408 14650860044288 18031827746816 29301720088576 36063655493632 58603440177152 117206880354304 234413760708608 468827521417216
• Sum of all divisors σ(n): 1033015657621752
• Sum of proper divisors (its aliquot sum) s(n): 564188136204536
• 468827521417216 is an abundant number, because the sum of its proper divisors (564188136204536) is greater than itself. Its abundance is 95360614787320

Bases of 468827521417216

• Binary: 1101010100110010101101001111000000000000000000000₂
• Hexadecimal: 0x1AA6569E00000
• Base-36: 4M6OE1HF5S

Squares and roots of 468827521417216

• 468827521417216 squared (468827521417216²) is 219799244838210127177141190656
• 468827521417216 cubed (468827521417216³) is 103047935166873861735972508702578982776733696
• The square root of 468827521417216 is 21652425.3010422831
• The cube root of 468827521417216 is 77685.0946717805

Scales and comparisons

• 468,827,521,417,216 seconds is equal to 14,907,265 years, 20 hours, 20 minutes, 16 seconds.
• To count from 1 to 468,827,521,417,216 would take you about thirty-seven million, two hundred sixty-eight thousand, one hundred sixty-two 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 468827521417216 cubic inches would be around 6473.8 feet tall.

Recreational maths with 468827521417216

• 468827521417216 backwards is 612714125728864
• 468827521417216 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468827521417216's digits is 64
• More coming soon!