468812832000

Names of 468812832000

• Cardinal: 468812832000 can be written as Four hundred sixty-eight billion, eight hundred twelve million, eight hundred thirty-two thousand.

Scientific notation

• Scientific notation: 4.68812832 × 10¹¹

Factors of 468812832000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 390

Divisors of 468812832000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 64 75 80 86 96 100 120 125 128 129 150 160 172 192 200 215 240 250 256 258 300 320 337 344 375 384 400 430 480 500 516 600 640 645 674 688 750 768 800 860 960 1000 1011 1032 1075 1200 1280 1290 1348 1376 1500 1600 1685 1720 1920 2000 2022 2064 2150 2400 2580 2696 2752 3000 3200 3225 3370 3440 3840 4000 4044 4128 4300 4800 5055 5160 5375 5392 5504 6000 6400 6450 6740 6880 8000 8088 8256 8425 8600 9600 10110 10320 10750 10784 11008 12000 12900 13480 13760 14491 16000 16125 16176 16512 16850 17200 19200 20220 20640 21500 21568 24000 25275 25800 26960 27520 28982 32000 32250 32352 33024 33700 34400 40440 41280 42125 43000 43136 43473 48000 50550 51600 53920 55040 57964 64500 64704 67400 68800 72455 80880 82560 84250 86000 86272 86946 96000 101100 103200 107840 113569 115928 126375 129000 129408 134800 137600 144910 161760 165120 168500 172000 173892 202200 206400 215680 217365 227138 231856 252750 258000 258816 269600 275200 289820 323520 337000 340707 344000 347784 362275 404400 412800 431360 434730 454276 463712 505500 516000 539200 567845 579640 647040 674000 681414 688000 695568 724550 808800 825600 869460 908552 927424 1011000 1032000 1078400 1086825 1135690 1159280 1294080 1348000 1362828 1376000 1391136 1449100 1617600 1703535 1738920 1811375 1817104 1854848 2022000 2064000 2156800 2173650 2271380 2318560 2696000 2725656 2782272 2839225 2898200 3235200 3407070 3477840 3622750 3634208 3709696 4044000 4128000 4347300 4542760 4637120 4883467 5392000 5434125 5451312 5564544 5678450 5796400 6470400 6814140 6955680 7245500 7268416 8088000 8517675 8694600 9085520 9274240 9766934 10784000 10868250 10902624 11129088 11356900 11592800 13628280 13911360 14196125 14491000 14536832 14650401 16176000 17035350 17389200 18171040 18548480 19533868 21736500 21805248 22713800 23185600 24417335 27256560 27822720 28392250 28982000 29073664 29300802 32352000 34070700 34778400 36342080 39067736 42588375 43473000 43610496 45427600 46371200 48834670 54513120 55645440 56784500 57964000 58601604 68141400 69556800 72684160 73252005 78135472 85176750 86946000 87220992 90855200 92742400 97669340 109026240 113569000 115928000 117203208 122086675 136282800 139113600 145368320 146504010 156270944 170353500 173892000 181710400 195338680 218052480 227138000 231856000 234406416 244173350 272565600 278227200 293008020 312541888 340707000 347784000 363420800 366260025 390677360 436104960 454276000 463712000 468812832 488346700 545131200 586016040 610433375 625083776 681414000 695568000 726841600 732520050 781354720 908552000 937625664 976693400 1090262400 1172032080 1220866750 1250167552 1362828000 1391136000 1465040100 1562709440 1817104000 1831300125 1875251328 1953386800 2180524800 2344064160 2441733500 2725656000 2930080200 3125418880 3634208000 3662600250 3750502656 3906773600 4688128320 4883467000 5451312000 5860160400 6250837760 7325200500 7813547200 9376256640 9766934000 10902624000 11720320800 14650401000 15627094400 18752513280 19533868000 23440641600 29300802000 31254188800 39067736000 46881283200 58601604000 78135472000 93762566400 117203208000 156270944000 234406416000 468812832000
• Sum of all divisors σ(n): 1598117032512
• Sum of proper divisors (its aliquot sum) s(n): 1129304200512
• 468812832000 is an abundant number, because the sum of its proper divisors (1129304200512) is greater than itself. Its abundance is 660491368512

Bases of 468812832000

• Binary: 110110100100111011011000001110100000000₂
• Hexadecimal: 0x6D276C1D00
• Base-36: 5ZDB20AO

Squares and roots of 468812832000

• 468812832000 squared (468812832000²) is 219785471447860224000000
• 468812832000 cubed (468812832000³) is 103038249301926491953594368000000000
• The square root of 468812832000 is 684699.0813488799
• The cube root of 468812832000 is 7768.4283313917

Scales and comparisons

• 468,812,832,000 seconds is equal to 14,906 years, 41 weeks, 3 days, 10 hours, 40 minutes.
• To count from 1 to 468,812,832,000 would take you about twenty-nine thousand, eight hundred thirteen 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 468812832000 cubic inches would be around 647.4 feet tall.

Recreational maths with 468812832000

• 468812832000 backwards is 000238218864
• The number of decimal digits it has is: 12
• The sum of 468812832000's digits is 42
• More coming soon!