468604731398400

Names of 468604731398400

• Cardinal: 468604731398400 can be written as Four hundred sixty-eight trillion, six hundred four billion, seven hundred thirty-one million, three hundred ninety-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.686047313984 × 10¹⁴

Factors of 468604731398400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 90207

Divisors of 468604731398400

• Number of divisors d(n): 243
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 576 600 640 720 768 800 900 960 1152 1200 1280 1440 1600 1800 1920 2304 2400 2880 3200 3600 3840 4800 5760 6400 7200 9600 11520 14400 19200 28800 57600 90197 180394 270591 360788 450985 541182 721576 811773 901970 1082364 1352955 1443152 1623546 1803940 2164728 2254925 2705910 2886304 3247092 3607880 4058865 4329456 4509850 5411820 5772608 6494184 6764775 7215760 8117730 8658912 9019700 10823640 11545216 12988368 13529550 14431520 16235460 17317824 18039400 20294325 21647280 23090432 25976736 27059100 28863040 32470920 34635648 36078800 40588650 43294560 51953472 54118200 57726080 64941840 69271296 72157600 81177300 86589120 103906944 108236400 115452160 129883680 144315200 162354600 173178240 207813888 216472800 259767360 288630400 324709200 346356480 432945600 519534720 577260800 649418400 865891200 1039069440 1298836800 1731782400 2597673600 5195347200 8135498809 16270997618 24406496427 32541995236 40677494045 48812992854 65083990472 73219489281 81354988090 97625985708 122032482135 130167980944 146438978562 162709976180 195251971416 203387470225 244064964270 260335961888 292877957124 325419952360 366097446405 390503942832 406774940450 488129928540 520671923776 585755914248 610162410675 650839904720 732194892810 781007885664 813549880900 976259857080 1041343847552 1171511828496 1220324821350 1301679809440 1464389785620 1562015771328 1627099761800 1830487232025 1952519714160 2082687695104 2343023656992 2440649642700 2603359618880 2928779571240 3124031542656 3254199523600 3660974464050 3905039428320 4686047313984 4881299285400 5206719237760 5857559142480 6248063085312 6508399047200 7321948928100 7810078856640 9372094627968 9762598570800 10413438475520 11715118284960 13016798094400 14643897856200 15620157713280 18744189255936 19525197141600 23430236569920 26033596188800 29287795712400 31240315426560 39050394283200 46860473139840 52067192377600 58575591424800 78100788566400 93720946279680 117151182849600 156201577132800 234302365699200 468604731398400
• Sum of all divisors σ(n): 1675386250978531
• Sum of proper divisors (its aliquot sum) s(n): 1206781519580131
• 468604731398400 is an abundant number, because the sum of its proper divisors (1206781519580131) is greater than itself. Its abundance is 738176788181731

Bases of 468604731398400

• Binary: 1101010100011000110001010100011100001100100000000₂
• Hexadecimal: 0x1AA318A8E1900
• Base-36: 4M3U1I24G0

Squares and roots of 468604731398400

• 468604731398400 squared (468604731398400²) is 219590394288966610819522560000
• 468604731398400 cubed (468604731398400³) is 102901097733449948015788356527729147904000000
• 468604731398400 is a perfect square number. Its square root is 21647280
• The cube root of 468604731398400 is 77672.7872273731

Scales and comparisons

• 468,604,731,398,400 seconds is equal to 14,900,180 years, 50 weeks, 2 days, 16 hours.
• To count from 1 to 468,604,731,398,400 would take you about thirty-seven million, two hundred fifty thousand, four hundred fifty-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 468604731398400 cubic inches would be around 6472.7 feet tall.

Recreational maths with 468604731398400

• 468604731398400 backwards is 004893137406864
• The number of decimal digits it has is: 15
• The sum of 468604731398400's digits is 63
• More coming soon!