442768830603584745

Names of 442768830603584745

• Cardinal: 442768830603584745 can be written as Four hundred forty-two quadrillion, seven hundred sixty-eight trillion, eight hundred thirty billion, six hundred three million, five hundred eighty-four thousand, seven hundred forty-five.

Scientific notation

• Scientific notation: 4.42768830603584745 × 10¹⁷

Factors of 442768830603584745

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 88352

Divisors of 442768830603584745

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 5 13 15 39 65 97 103 191 195 291 309 485 515 573 955 1261 1339 1455 1545 2483 2865 3783 4017 6305 6695 7449 9991 12415 16703 18527 18915 19673 20085 29973 37245 49955 50109 55581 59019 71237 83515 92635 98365 129883 149865 213711 217139 240851 250545 255749 277905 295095 356185 389649 649415 651417 722553 767247 926081 1068555 1085695 1204255 1278745 1620191 1720409 1908281 1948245 2778243 3190273 3257085 3612765 3836235 4630405 4860573 5161227 5724843 6909989 7337411 8100955 8602045 9541405 9570819 13606267 13891215 15951365 20729967 21062483 22012233 22365317 24302865 24807653 25806135 28624215 34549945 36687055 40818801 41473549 47854095 63187449 67095951 68031335 74422959 89829857 95386343 103649835 105312415 110061165 111826585 124038265 124420647 166879673 176881471 204094005 207367745 269489571 286159029 309456481 315937245 328598119 335479755 372114795 449149285 476931715 500639019 530644413 622103235 711728867 834398365 884407355 928369443 985794357 1189871611 1319807899 1347447855 1401445501 1430795145 1547282405 1642990595 2135186601 2169435749 2503195095 2653222065 3558644335 3569614833 3959423697 4022934253 4204336503 4271775547 4641847215 4928971785 5949358055 6508307247 6599039495 7007227505 9252475271 10675933005 10847178745 12068802759 12815326641 15468330943 17157502687 17848074165 18218791513 19797118485 20114671265 21021682515 21358877735 27757425813 31874017543 32541536235 46262376355 46404992829 51472508061 54656374539 60344013795 64076633205 77341654715 85787513435 91093957565 95622052629 115417546267 122556775933 135940213597 138787129065 159370087715 227265477701 232024964145 257362540305 273281872695 346252638801 367670327799 407820640791 414362228059 478110263145 577087731335 612783879665 679701067985 681796433103 1136327388505 1243086684177 1500428101471 1593238087129 1731263194005 1767222776761 1838351638995 2039103203955 2071811140295 2954451210113 3408982165515 4501284304413 4779714261387 5301668330283 6215433420885 7502140507355 7966190435645 8836113883805 8863353630339 11888007265501 14772256050565 22044751336997 22506421522065 23408344203203 23898571306935 26508341651415 35664021796503 44316768151695 59440036327505 66134254010991 70225032609609 110223756684985 117041721016015 154544094451513 178320108982515 286581767380961 304308474641639 330671270054955 351125163048045 463632283354539 772720472257565 859745302142883 912925423924917 1432908836904805 1521542373208195 2270609387710691 2318161416772695 4298726510714415 4564627119624585 6811828163132073 11353046938553455 29517922040238983 34059140815660365 88553766120716949 147589610201194915 442768830603584745
• Sum of all divisors σ(n): 782405906945015808
• Sum of proper divisors (its aliquot sum) s(n): 339637076341431063
• 442768830603584745 is a deficient number, because the sum of its proper divisors (339637076341431063) is less than itself. Its deficiency is 103131754262153682

Bases of 442768830603584745

• Binary: 11000100101000001111110011111010001101111011110010011101001₂
• Hexadecimal: 0x62507E7D1BDE4E9
• Base-36: 3D3OG8QKXXPL

Squares and roots of 442768830603584745

• 442768830603584745 squared (442768830603584745²) is 196044237354065923063311244396715025
• 442768830603584745 cubed (442768830603584745³) is 86802277719831375509685690492735903767494667202293625
• The square root of 442768830603584745 is 665408769.5571683289
• The cube root of 442768830603584745 is 762182.5710763077

Scales and comparisons

• 442,768,830,603,584,745 seconds is equal to 14,078,679,239 years, 14 weeks, 3 days, 1 hour, 5 minutes, 45 seconds.
• To count from 1 to 442,768,830,603,584,745 would take you about forty-two billion, two hundred thirty-six million, thirty-seven thousand, seven hundred seventeen 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 442768830603584745 cubic inches would be around 63515.2 feet tall.

Recreational maths with 442768830603584745

• 442768830603584745 backwards is 547485306038867244
• The number of decimal digits it has is: 18
• The sum of 442768830603584745's digits is 84
• More coming soon!