642624719421440

Names of 642624719421440

• Cardinal: 642624719421440 can be written as Six hundred forty-two trillion, six hundred twenty-four billion, seven hundred nineteen million, four hundred twenty-one thousand, four hundred forty.

Scientific notation

• Scientific notation: 6.4262471942144 × 10¹⁴

Factors of 642624719421440

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 460826

Divisors of 642624719421440

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 608 640 665 760 896 1024 1064 1120 1216 1280 1330 1520 1792 2048 2128 2240 2432 2560 2660 3040 3584 4096 4256 4480 4864 5120 5320 6080 7168 8192 8512 8960 9728 10240 10640 12160 14336 16384 17024 17920 19456 20480 21280 24320 28672 32768 34048 35840 38912 40960 42560 48640 57344 65536 68096 71680 77824 81920 85120 97280 114688 131072 136192 143360 155648 163840 170240 194560 229376 262144 272384 286720 311296 327680 340480 389120 458752 460793 524288 544768 573440 622592 655360 680960 778240 917504 921586 1048576 1089536 1146880 1245184 1310720 1361920 1556480 1835008 1843172 2097152 2179072 2293760 2303965 2490368 2621440 2723840 3112960 3225551 3670016 3686344 4358144 4587520 4607930 4980736 5242880 5447680 6225920 6451102 7340032 7372688 8716288 8755067 9175040 9215860 9961472 10485760 10895360 12451840 12902204 14680064 14745376 16127755 17432576 17510134 18350080 18431720 19922944 21790720 24903680 25804408 29490752 32255510 34865152 35020268 36700160 36863440 39845888 43581440 43775335 49807360 51608816 58981504 61285469 64511020 69730304 70040536 73400320 73726880 87162880 87550670 99614720 103217632 117963008 122570938 129022040 139460608 140081072 147453760 174325760 175101340 199229440 206435264 235926016 245141876 258044080 278921216 280162144 294907520 306427345 348651520 350202680 412870528 471852032 490283752 516088160 560324288 589815040 612854690 697303040 700405360 825741056 943704064 980567504 1032176320 1120648576 1179630080 1225709380 1394606080 1400810720 1651482112 1887408128 1961135008 2064352640 2241297152 2359260160 2451418760 2801621440 3302964224 3774816256 3922270016 4128705280 4482594304 4718520320 4902837520 5603242880 6605928448 7549632512 7844540032 8257410560 8965188608 9437040640 9805675040 11206485760 13211856896 15099265024 15689080064 16514821120 17930377216 18874081280 19611350080 22412971520 26423713792 30198530048 31378160128 33029642240 35860754432 37748162560 39222700160 44825943040 52847427584 60397060096 62756320256 66059284480 71721508864 75496325120 78445400320 89651886080 105694855168 120794120192 125512640512 132118568960 143443017728 150992650240 156890800640 179303772160 211389710336 241588240384 251025281024 264237137920 286886035456 301985300480 313781601280 358607544320 422779420672 483176480768 502050562048 528474275840 573772070912 603970600960 627563202560 717215088640 845558841344 966352961536 1004101124096 1056948551680 1147544141824 1207941201920 1255126405120 1434430177280 1691117682688 2008202248192 2113897103360 2295088283648 2415882403840 2510252810240 2868860354560 3382235365376 4016404496384 4227794206720 4590176567296 4831764807680 5020505620480 5737720709120 6764470730752 8032808992768 8455588413440 9180353134592 10041011240960 11475441418240 16065617985536 16911176826880 18360706269184 20082022481920 22950882836480 32131235971072 33822353653760 40164044963840 45901765672960 64262471942144 80328089927680 91803531345920 128524943884288 160656179855360 321312359710720 642624719421440
• Sum of all divisors σ(n): 1855401270318720
• Sum of proper divisors (its aliquot sum) s(n): 1212776550897280
• 642624719421440 is an abundant number, because the sum of its proper divisors (1212776550897280) is greater than itself. Its abundance is 570151831475840

Bases of 642624719421440

• Binary: 10010010000111011010111010001000000000000000000000₂
• Hexadecimal: 0x24876BA200000
• Base-36: 6BSHPXV4ZK

Squares and roots of 642624719421440

• 642624719421440 squared (642624719421440²) is 412966530011484484328331673600
• 642624719421440 cubed (642624719421440³) is 265382500479075897922394066561331818921984000
• The square root of 642624719421440 is 25350043.7755330119
• The cube root of 642624719421440 is 86295.0349723333

Scales and comparisons

• 642,624,719,421,440 seconds is equal to 20,433,478 years, 16 weeks, 9 hours, 57 minutes, 20 seconds.
• To count from 1 to 642,624,719,421,440 would take you about fifty-one million, eighty-three thousand, six hundred ninety-five 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 642624719421440 cubic inches would be around 7191.3 feet tall.

Recreational maths with 642624719421440

• 642624719421440 backwards is 044124917426246
• 642624719421440 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 642624719421440's digits is 56
• More coming soon!