464728006400

Names of 464728006400

• Cardinal: 464728006400 can be written as Four hundred sixty-four billion, seven hundred twenty-eight million, six thousand, four hundred.

Scientific notation

• Scientific notation: 4.647280064 × 10¹¹

Factors of 464728006400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 458

Divisors of 464728006400

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 211 224 233 256 280 320 350 400 422 448 466 560 640 700 800 844 896 932 1055 1120 1165 1280 1400 1477 1600 1631 1688 1792 1864 2110 2240 2330 2800 2954 3200 3262 3376 3728 4220 4480 4660 5275 5600 5825 5908 6400 6524 6752 7385 7456 8155 8440 8960 9320 10550 11200 11650 11816 13048 13504 14770 14912 16310 16880 18640 21100 22400 23300 23632 26096 27008 29540 29824 32620 33760 36925 37280 40775 42200 44521 44800 46600 47264 49163 52192 54016 59080 59648 65240 67520 73850 74560 81550 84400 89042 93200 94528 98326 104384 118160 130480 135040 147700 149120 163100 168800 178084 186400 189056 196652 208768 222605 236320 245815 260960 270080 295400 298240 311647 326200 337600 344141 356168 372800 378112 393304 417536 445210 472640 491630 521920 590800 623294 652400 675200 688282 712336 745600 786608 890420 945280 983260 1043840 1113025 1181600 1229075 1246588 1304800 1350400 1376564 1424672 1491200 1558235 1573216 1720705 1780840 1890560 1966520 2087680 2226050 2363200 2458150 2493176 2609600 2753128 2849344 3116470 3146432 3441410 3561680 3933040 4452100 4726400 4916300 4986352 5219200 5506256 5698688 6232940 6292864 6882820 7123360 7791175 7866080 8603525 8904200 9452800 9832600 9972704 10373393 10438400 11012512 11397376 12465880 12585728 13765640 14246720 15582350 15732160 17207050 17808400 19665200 19945408 20746786 22025024 24931760 27531280 28493440 31164700 31464320 34414100 35616800 39330400 39890816 41493572 44050048 49863520 51866965 55062560 56986880 62329400 62928640 68828200 71233600 72613751 78660800 79781632 82987144 88100096 99727040 103733930 110125120 124658800 137656400 142467200 145227502 157321600 165974288 199454080 207467860 220250240 249317600 259334825 275312800 284934400 290455004 314643200 331948576 363068755 398908160 414935720 440500480 498635200 518669650 550625600 580910008 663897152 726137510 829871440 997270400 1037339300 1101251200 1161820016 1327794304 1452275020 1659742880 1815343775 1994540800 2074678600 2202502400 2323640032 2655588608 2904550040 3319485760 3630687550 4149357200 4647280064 5809100080 6638971520 7261375100 8298714400 9294560128 11618200160 13277943040 14522750200 16597428800 18589120256 23236400320 29045500400 33194857600 46472800640 58091000800 66389715200 92945601280 116182001600 232364003200 464728006400
• Sum of all divisors σ(n): 1326528128016
• Sum of proper divisors (its aliquot sum) s(n): 861800121616
• 464728006400 is an abundant number, because the sum of its proper divisors (861800121616) is greater than itself. Its abundance is 397072115216

Bases of 464728006400

• Binary: 110110000110011111100101001111100000000₂
• Hexadecimal: 0x6C33F29F00
• Base-36: 5XHR20OW

Squares and roots of 464728006400

• 464728006400 squared (464728006400²) is 215972119932518440960000
• 464728006400 cubed (464728006400³) is 100368292734220997598576902144000000
• The square root of 464728006400 is 681709.6202929807
• The cube root of 464728006400 is 7745.8000491359

Scales and comparisons

• 464,728,006,400 seconds is equal to 14,776 years, 47 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 464,728,006,400 would take you about twenty-nine thousand, five hundred fifty-three 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 464728006400 cubic inches would be around 645.5 feet tall.

Recreational maths with 464728006400

• 464728006400 backwards is 004600827464
• The number of decimal digits it has is: 12
• The sum of 464728006400's digits is 41
• More coming soon!