40918984221093504

Names of 40918984221093504

• Cardinal: 40918984221093504 can be written as Forty quadrillion, nine hundred eighteen trillion, nine hundred eighty-four billion, two hundred twenty-one million, ninety-three thousand, five hundred four.

Scientific notation

• Scientific notation: 4.0918984221093504 × 10¹⁶

Factors of 40918984221093504

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 778986343

Divisors of 40918984221093504

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 89 96 106 116 128 159 174 178 192 212 232 267 318 348 356 384 424 464 534 636 696 712 848 928 1068 1272 1392 1424 1537 1696 1856 2136 2544 2581 2784 2848 3074 3392 3712 4272 4611 4717 5088 5162 5568 5696 6148 6784 7743 8544 9222 9434 10176 10324 11136 11392 12296 14151 15486 17088 18444 18868 20352 20648 24592 28302 30972 34176 36888 37736 41296 49184 56604 61944 73776 75472 82592 98368 113208 123888 136793 147552 150944 165184 196736 226416 247776 273586 295104 301888 330368 410379 452832 495552 547172 590208 603776 820758 905664 991104 1094344 1641516 1811328 2188688 3283032 4377376 6566064 8754752 13132128 17509504 26264256 52528512 778986167 1557972334 2336958501 3115944668 4673917002 6231889336 9347834004 12463778672 18695668008 22590598843 24927557344 37391336016 41286266851 45181197686 49855114688 67771796529 69329768863 74782672032 82572533702 90362395372 99710229376 123858800553 135543593058 138659537726 149565344064 165145067404 180724790744 207989306589 247717601106 271087186116 277319075452 299130688128 330290134808 361449581488 415978613178 495435202212 542174372232 554638150904 660580269616 722899162976 831957226356 990870404424 1084348744464 1109276301808 1197301738679 1321160539232 1445798325952 1663914452712 1981740808848 2010563297027 2168697488928 2218552603616 2394603477358 2642321078464 2891596651904 3327828905424 3591905216037 3674477749739 3963481617696 4021126594054 4337394977856 4437105207232 4789206954716 5284642156928 6031689891081 6655657810848 7183810432074 7348955499478 7926963235392 8042253188108 8674789955712 8874210414464 9578413909432 11023433249217 12063379782162 13311315621696 14367620864148 14697910998956 15853926470784 16084506376216 19156827818864 22046866498434 24126759564324 26622631243392 28735241728296 29395821997912 32169012752432 38313655637728 44093732996868 48253519128648 57470483456592 58791643995824 64338025504864 76627311275456 88187465993736 96507038257296 106559854742431 114940966913184 117583287991648 128676051009728 153254622550912 176374931987472 193014076514592 213119709484862 229881933826368 235166575983296 257352102019456 319679564227293 352749863974944 386028153029184 426239418969724 459763867652736 470333151966592 639359128454586 705499727949888 772056306058368 852478837939448 1278718256909172 1410999455899776 1704957675878896 2557436513818344 3409915351757792 5114873027636688 6819830703515584 10229746055273376 13639661407031168 20459492110546752 40918984221093504
• Sum of all divisors σ(n): 115847706960288000
• Sum of proper divisors (its aliquot sum) s(n): 74928722739194496
• 40918984221093504 is an abundant number, because the sum of its proper divisors (74928722739194496) is greater than itself. Its abundance is 34009738518100992

Bases of 40918984221093504

• Binary: 10010001010111111001100101101111000100010110111010000000₂
• Hexadecimal: 0x915F996F116E80
• Base-36: B6WKHUCDHMO

Squares and roots of 40918984221093504

• 40918984221093504 squared (40918984221093504²) is 1674363269686099154242209510998016
• 40918984221093504 cubed (40918984221093504³) is 68513244212664018578647145208022206224421894488064
• The square root of 40918984221093504 is 202284414.1823425405
• The cube root of 40918984221093504 is 344594.4523208323

Scales and comparisons

• 40,918,984,221,093,504 seconds is equal to 1,301,097,127 years, 26 weeks, 19 hours, 18 minutes, 24 seconds.
• To count from 1 to 40,918,984,221,093,504 would take you about three billion, nine hundred three million, two hundred ninety-one thousand, three hundred eighty-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 40918984221093504 cubic inches would be around 28716.2 feet tall.

Recreational maths with 40918984221093504

• 40918984221093504 backwards is 40539012248981904
• The number of decimal digits it has is: 17
• The sum of 40918984221093504's digits is 69
• More coming soon!