40448131490102320

Names of 40448131490102320

• Cardinal: 40448131490102320 can be written as Forty quadrillion, four hundred forty-eight trillion, one hundred thirty-one billion, four hundred ninety million, one hundred two thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.044813149010232 × 10¹⁶

Factors of 40448131490102320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 37160393

Divisors of 40448131490102320

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 2788 3280 3485 5576 6970 11152 13940 19531 27880 39062 55760 78124 97655 156248 195310 312496 332027 390620 664054 781240 800771 1328108 1562480 1601542 1660135 2656216 3203084 3320270 4003855 5312432 6406168 6640540 8007710 12812336 13281080 13613107 16015420 26562160 27226214 32030840 37140797 54452428 64061680 68065535 74281594 108904856 136131070 148563188 185703985 217809712 272262140 297126376 371407970 544524280 594252752 631393549 742815940 1089048560 1262787098 1485631880 1522772677 2525574196 2971263760 3045545354 3156967745 5051148392 6091090708 6313935490 7613863385 10102296784 12182181416 12627870980 15227726770 24364362832 25255741960 25887135509 30455453540 50511483920 51774271018 60910907080 103548542036 121821814160 129435677545 207097084072 258871355090 414194168144 517742710180 725396906207 1035485420360 1450793812414 2070970840720 2901587624828 3626984531035 5803175249656 7253969062070 11606350499312 12331747405519 14507938124140 24663494811038 29015876248280 29741273154487 49326989622076 58031752496560 59482546308974 61658737027595 98653979244152 118965092617948 123317474055190 148706365772435 197307958488304 237930185235896 246634948110380 297412731544870 475860370471792 493269896220760 505601643626279 594825463089740 986539792441520 1011203287252558 1189650926179480 2022406574505116 2379301852358960 2528008218131395 4044813149010232 5056016436262790 8089626298020464 10112032872525580 20224065745051160 40448131490102320
• Sum of all divisors σ(n): 102007636700026176
• Sum of proper divisors (its aliquot sum) s(n): 61559505209923856
• 40448131490102320 is an abundant number, because the sum of its proper divisors (61559505209923856) is greater than itself. Its abundance is 21111373719821536

Bases of 40448131490102320

• Binary: 10001111101100110101110001111101010010111011110000110000₂
• Hexadecimal: 0x8FB35C7D4BBC30
• Base-36: B29NZ31EE5S

Squares and roots of 40448131490102320

• 40448131490102320 squared (40448131490102320²) is 1636051341040606925728124069382400
• 40448131490102320 cubed (40448131490102320³) is 66175219766968703134471101250053699946555207168000
• The square root of 40448131490102320 is 201117208.3390735613
• The cube root of 40448131490102320 is 343267.6061310017

Scales and comparisons

• 40,448,131,490,102,320 seconds is equal to 1,286,125,467 years, 5 weeks, 1 day, 7 hours, 58 minutes, 40 seconds.
• To count from 1 to 40,448,131,490,102,320 would take you about three billion, eight hundred fifty-eight million, three hundred seventy-six thousand, four hundred 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 40448131490102320 cubic inches would be around 28605.6 feet tall.

Recreational maths with 40448131490102320

• 40448131490102320 backwards is 02320109413184404
• The number of decimal digits it has is: 17
• The sum of 40448131490102320's digits is 46
• More coming soon!