468739228320

Names of 468739228320

• Cardinal: 468739228320 can be written as Four hundred sixty-eight billion, seven hundred thirty-nine million, two hundred twenty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.6873922832 × 10¹¹

Factors of 468739228320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 7432

Divisors of 468739228320

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 88 90 96 99 108 110 120 121 132 135 144 160 165 176 180 198 216 220 240 242 264 270 288 297 330 352 360 363 396 432 440 480 484 495 528 540 594 605 660 720 726 792 864 880 968 990 1056 1080 1089 1188 1210 1320 1331 1440 1452 1485 1584 1760 1815 1936 1980 2160 2178 2376 2420 2640 2662 2904 2970 3168 3267 3630 3872 3960 3993 4320 4356 4752 4840 5280 5324 5445 5808 5940 6534 6655 7260 7411 7920 7986 8712 9504 9680 10648 10890 11616 11880 11979 13068 13310 14520 14641 14822 15840 15972 16335 17424 19360 19965 21296 21780 22233 23760 23958 26136 26620 29040 29282 29644 31944 32670 34848 35937 37055 39930 42592 43560 43923 44466 47520 47916 52272 53240 58080 58564 59288 59895 63888 65340 66699 71874 73205 74110 79860 81521 87120 87846 88932 95832 104544 106480 111165 117128 118576 119790 127776 130680 131769 133398 143748 146410 148220 159720 163042 174240 175692 177864 179685 191664 200097 212960 219615 222330 234256 237152 239580 244563 261360 263538 266796 287496 292820 296440 319440 326084 333495 351384 355728 359370 383328 395307 400194 407605 439230 444660 468512 479160 489126 522720 527076 533592 574992 585640 592880 638880 652168 658845 666990 702768 711456 718740 733689 790614 800388 815210 878460 889320 896731 958320 978252 1000485 1054152 1067184 1149984 1171280 1185760 1222815 1304336 1317690 1333980 1405536 1437480 1467378 1581228 1600776 1630420 1756920 1778640 1793462 1916640 1956504 1976535 2000970 2108304 2134368 2201067 2342560 2445630 2608672 2635380 2667960 2690193 2874960 2934756 3162456 3201552 3260840 3513840 3557280 3586924 3668445 3913008 3953070 4001940 4216608 4402134 4483655 4891260 5270760 5335920 5380386 5749920 5869512 6324912 6403104 6521680 7027680 7173848 7336890 7826016 7906140 8003880 8070579 8804268 8967310 9782520 9864041 10541520 10671840 10760772 11005335 11739024 12649824 13043360 13450965 14347696 14673780 15812280 16007760 16141158 17608536 17934620 19565040 19728082 21083040 21521544 22010670 23478048 24211737 26901930 28695392 29347560 29592123 31624560 32015520 32282316 35217072 35869240 39130080 39456164 40352895 43043088 44021340 48423474 49320205 53803860 58695120 59184246 63249120 64564632 70434144 71738480 78912328 80705790 86086176 88042680 88776369 96846948 98640410 107607720 108504451 117390240 118368492 121058685 129129264 143476960 147960615 157824656 161411580 176085360 177552738 193693896 197280820 215215440 217008902 236736984 242117370 258258528 266329107 295921230 315649312 322823160 325513353 352170720 355105476 387387792 394561640 430430880 434017804 443881845 473473968 484234740 532658214 542522255 591842460 645646320 651026706 710210952 774775584 789123280 868035608 887763690 946947936 968469480 976540059 1065316428 1085044510 1183684920 1291292640 1302053412 1331645535 1420421904 1578246560 1627566765 1736071216 1775527380 1936938960 1953080118 2130632856 2170089020 2367369840 2604106824 2663291070 2840843808 2929620177 3255133530 3472142432 3551054760 3873877920 3906160236 4261265712 4340178040 4734739680 4882700295 5208213648 5326582140 5859240354 6510267060 7102109520 7812320472 8522531424 8680356080 9765400590 10416427296 10653164280 11718480708 13020534120 14204219040 14648100885 15624640944 17360712160 19530801180 21306328560 23436961416 26041068240 29296201770 31249281888 39061602360 42612657120 46873922832 52082136480 58592403540 78123204720 93747845664 117184807080 156246409440 234369614160 468739228320
• Sum of all divisors σ(n): 1804878331200
• Sum of proper divisors (its aliquot sum) s(n): 1336139102880
• 468739228320 is an abundant number, because the sum of its proper divisors (1336139102880) is greater than itself. Its abundance is 867399874560

Bases of 468739228320

• Binary: 110110100100011000010010000001010100000₂
• Hexadecimal: 0x6D230902A0
• Base-36: 5ZC38FC0

Squares and roots of 468739228320

• 468739228320 squared (468739228320²) is 219716464166029090022400
• 468739228320 cubed (468739228320³) is 102989725862383408015771587514368000
• The square root of 468739228320 is 684645.3303134405
• The cube root of 468739228320 is 7768.0217620035

Scales and comparisons

• 468,739,228,320 seconds is equal to 14,904 years, 23 weeks, 5 days, 13 hours, 12 minutes.
• To count from 1 to 468,739,228,320 would take you about twenty-nine thousand, eight hundred eight 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 468739228320 cubic inches would be around 647.3 feet tall.

Recreational maths with 468739228320

• 468739228320 backwards is 023822937864
• 468739228320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468739228320's digits is 54
• More coming soon!