468398646144

Names of 468398646144

• Cardinal: 468398646144 can be written as Four hundred sixty-eight billion, three hundred ninety-eight million, six hundred forty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.68398646144 × 10¹¹

Factors of 468398646144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 916

Divisors of 468398646144

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 32 33 36 39 44 46 48 52 64 66 69 72 78 88 92 96 99 104 117 128 132 138 143 144 156 176 181 184 192 198 207 208 234 253 264 276 286 288 299 312 352 362 368 384 396 414 416 429 468 506 528 543 552 572 576 598 624 683 704 724 736 759 792 828 832 858 897 936 1012 1056 1086 1104 1144 1152 1196 1248 1287 1366 1408 1448 1472 1518 1584 1629 1656 1664 1716 1794 1872 1991 2024 2049 2112 2172 2208 2277 2288 2353 2392 2496 2574 2691 2732 2896 2944 3036 3168 3258 3289 3312 3432 3588 3744 3982 4048 4098 4163 4224 4344 4416 4554 4576 4706 4784 4992 5148 5382 5464 5792 5973 6072 6147 6336 6516 6578 6624 6864 7059 7176 7488 7513 7964 8096 8196 8326 8688 8832 8879 9108 9152 9412 9568 9867 10296 10764 10928 11584 11946 12144 12294 12489 12672 13032 13156 13248 13728 14118 14352 14976 15026 15709 15928 16192 16392 16652 17376 17758 17919 18216 18304 18824 19136 19734 20592 21177 21528 21856 22539 23168 23892 24288 24588 24978 25883 26064 26312 26496 26637 27456 28236 28704 29601 30052 31418 31856 32384 32784 33304 34752 35516 35838 36432 37467 37648 38272 39468 41184 42354 43056 43712 45078 45793 47127 47784 48576 49176 49956 51766 52128 52624 53274 54119 54912 56472 57408 59202 60104 62836 63712 65568 66608 67617 69504 71032 71676 72864 74934 75296 77649 78936 79911 82368 84708 86112 87424 90156 91586 94254 95568 97152 97669 98352 99912 103532 104256 105248 106548 108238 112944 114816 118404 120208 123623 125672 127424 131136 133216 135234 137379 141381 142064 143352 145728 149868 150592 155298 157872 159822 162357 164736 169416 172224 172799 180312 183172 188508 191136 195338 196704 199824 204217 207064 208512 210496 213096 216476 225888 232947 236808 240416 247246 251344 254848 262272 266432 270468 274758 282762 284128 286704 291456 293007 299736 301184 310596 315744 319644 324714 338832 344448 345598 360624 366344 370869 377016 382272 390676 393408 399648 408434 412137 414128 420992 426192 432952 451776 465894 473616 480832 487071 494492 502688 518397 532864 540936 549516 565524 568256 573408 586014 595309 599472 612651 621192 631488 639288 649428 677664 691196 721248 732688 741738 754032 764544 781352 786816 799296 816868 824274 828256 852384 865904 879021 903552 931788 947232 961664 974142 988984 1005376 1036794 1081872 1099032 1112607 1131048 1136512 1146816 1172028 1190618 1198944 1225302 1242384 1262976 1278576 1298856 1355328 1359853 1382392 1442496 1465376 1483476 1508064 1555191 1562704 1598592 1607099 1633736 1648548 1656512 1704768 1731808 1758042 1785927 1837953 1863576 1894464 1948284 1977968 2010752 2073588 2163744 2198064 2225214 2246387 2262096 2293632 2344056 2381236 2397888 2450604 2484768 2557152 2597712 2710656 2719706 2764784 2843329 2884992 2930752 2966952 3016128 3110382 3125408 3214198 3267472 3297096 3313024 3409536 3463616 3516084 3571854 3675906 3727152 3788928 3896568 3955936 4079559 4147176 4327488 4396128 4450428 4492774 4524192 4688112 4762472 4795776 4821297 4901208 4969536 5114304 5195424 5357781 5439412 5529568 5686658 5861504 5933904 6032256 6220764 6250816 6428396 6534944 6594192 6739161 6927232 7032168 7143708 7351812 7454304 7793136 7911872 8159118 8294352 8529987 8654976 8792256 8900856 8985548 9048384 9376224 9524944 9642594 9802416 9939072 10228608 10390848 10715562 10878824 11059136 11373316 11867808 12238677 12441528 12501632 12856792 13069888 13188384 13478322 14064336 14287416 14463891 14703624 14908608 15586272 15823744 16318236 16588704 17059974 17584512 17678089 17801712 17971096 18096768 18752448 19049888 19285188 19604832 20217483 20781696 21431124 21757648 22118272 22746632 23735616 24477354 24883056 25589961 25713584 26139776 26376768 26956644 28128672 28574832 28927782 29407248 29817216 31172544 31276619 32636472 33177408 34119948 35356178 35603424 35942192 36963277 37504896 38099776 38570376 39209664 40434966 42862248 43515296 45493264 47471232 48954708 49766112 51179922 51427168 52753536 53034267 53913288 56257344 57149664 57855564 58814496 62345088 62553238 65272944 66354816 68239896 70712356 71206848 71884384 73926554 76199552 77140752 78419328 80869932 85724496 87030592 90986528 93829857 97909416 99532224 102359844 102854336 106068534 107826576 110889831 112514688 114299328 115711128 117628992 125106476 130545888 136479792 141424712 142413696 143768768 147853108 154281504 159102801 161739864 171448992 174061184 181973056 187659714 195818832 199064448 204719688 205708672 212137068 215653152 221779662 228598656 231422256 235257984 250212952 261091776 272959584 281489571 282849424 287537536 295706216 308563008 318205602 323479728 332669493 342897984 363946112 375319428 391637664 406596047 409439376 424274136 431306304 443559324 462844512 500425904 522183552 545919168 562979142 565698848 591412432 617126016 636411204 646959456 665338986 685795968 750638856 783275328 813192094 818878752 848548272 862612608 887118648 925689024 1000851808 1091838336 1125958284 1131397696 1182824864 1219788141 1272822408 1293918912 1330677972 1501277712 1566550656 1626384188 1637757504 1697096544 1774237296 1851378048 2001703616 2251916568 2262795392 2365649728 2439576282 2545644816 2587837824 2661355944 3002555424 3252768376 3275515008 3394193088 3548474592 3659364423 4003407232 4503833136 4731299456 4879152564 5091289632 5322711888 6005110848 6505536752 6788386176 7096949184 7318728846 9007666272 9758305128 10182579264 10645423776 12010221696 13011073504 14193898368 14637457692 18015332544 19516610256 20365158528 21290847552 26022147008 29274915384 36030665088 39033220512 42581695104 52044294016 58549830768 78066441024 117099661536 156132882048 234199323072 468398646144
• Sum of all divisors σ(n): 1663916567040
• Sum of proper divisors (its aliquot sum) s(n): 1195517920896
• 468398646144 is an abundant number, because the sum of its proper divisors (1195517920896) is greater than itself. Its abundance is 727119274752

Bases of 468398646144

• Binary: 110110100001110101111000010001110000000₂
• Hexadecimal: 0x6D0EBC2380
• Base-36: 5Z6GGKG0

Squares and roots of 468398646144

• 468398646144 squared (468398646144²) is 219397291709532126068736
• 468398646144 cubed (468398646144³) is 102765394404405083150269871485353984
• The square root of 468398646144 is 684396.5562040769
• The cube root of 468398646144 is 7766.1399119803

Scales and comparisons

• 468,398,646,144 seconds is equal to 14,893 years, 32 weeks, 4 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 468,398,646,144 would take you about twenty-nine thousand, seven hundred eighty-seven 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 468398646144 cubic inches would be around 647.2 feet tall.

Recreational maths with 468398646144

• 468398646144 backwards is 441646893864
• The number of decimal digits it has is: 12
• The sum of 468398646144's digits is 63
• More coming soon!