642144855027984

Names of 642144855027984

• Cardinal: 642144855027984 can be written as Six hundred forty-two trillion, one hundred forty-four billion, eight hundred fifty-five million, twenty-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 6.42144855027984 × 10¹⁴

Factors of 642144855027984

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 33529

Divisors of 642144855027984

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 137 154 168 176 187 204 231 238 264 272 274 308 336 357 374 408 411 462 476 528 548 561 616 714 748 816 822 924 952 959 1096 1122 1232 1309 1428 1496 1507 1644 1848 1904 1918 2192 2244 2329 2411 2618 2856 2877 2992 3014 3288 3696 3836 3927 4488 4521 4658 4822 5236 5712 5754 6028 6576 6987 7233 7672 7854 8976 9042 9316 9644 10472 10549 11508 12056 13974 14466 15344 15708 16303 16877 18084 18632 19288 20944 21098 23016 24112 25619 26521 27948 28932 30941 31416 31647 32606 33754 36168 37264 38576 40987 42196 46032 48909 50631 51238 53042 55896 57864 61882 62832 63294 65212 67508 72336 76857 79563 81974 84392 92823 97818 101262 102476 106084 111792 115728 122961 123764 126588 130424 135016 153714 159126 163948 168784 179333 185646 185647 195636 202524 204952 212168 216587 245922 247528 253176 260848 270032 286909 307428 318252 327896 330307 340351 358666 371292 371294 391272 405048 409904 424336 433174 450857 491844 495056 506352 525997 537999 556941 573818 614856 636504 649761 655792 660614 680702 717332 742584 742588 782544 810096 860727 866348 901714 983688 990921 1021053 1051994 1075998 1113882 1147636 1229712 1273008 1299522 1321228 1352571 1361404 1434664 1485168 1485176 1577991 1721454 1732696 1803428 1967376 1981842 2042106 2103988 2151996 2227764 2295272 2312149 2382457 2599044 2642456 2705142 2722808 2869328 2970352 3155982 3155999 3442908 3465392 3606856 3633377 3681979 3963684 4084212 4207976 4238917 4303992 4455528 4590544 4624298 4764914 5198088 5284912 5410284 5445616 5615219 5785967 6311964 6311998 6885816 6936447 7147371 7213712 7266754 7363958 7927368 8168424 8415952 8477834 8607984 8911056 9248596 9467997 9529828 10396176 10820568 10900131 11045937 11230438 11571934 12623928 12623996 12716751 13771632 13872894 14294742 14533508 14727916 15854736 16336848 16845657 16955668 17357901 18497192 18935994 19059656 21641136 21800262 22091874 22460876 23143868 25247856 25247992 25433502 25433639 27745788 28589484 29067016 29455832 29672419 33691314 33911336 34715802 36994384 37871988 38119312 39306533 40501769 43600524 44183748 44921752 46287736 46628087 50495984 50867004 50867278 55491576 57178968 58134032 58911664 59344838 61767409 67382628 67822672 69431604 72061589 74598751 75743976 76300917 78613066 81003538 87201048 88367496 89017257 89843504 92575472 93256174 101734008 101734556 110983152 114357936 117919599 118689676 121505307 123534818 134765256 138863208 139884261 144123178 149197502 151487952 152601834 157226132 162007076 174402096 176734992 178034514 185302227 186512348 203468016 203469112 216184767 223796253 235839198 237379352 243010614 247069636 269530512 277726416 279768522 288246356 298395004 305203668 314452264 324014152 326396609 356069028 370604454 373024696 406938224 432369534 432371863 447592506 471678396 474758704 486021228 494139272 504431123 522191257 559537044 576492712 596790008 610407336 628904528 648028304 652793218 712138056 741208908 746049392 792677479 820586261 864739068 864743726 895185012 943356792 972042456 979189827 988278544 1008862246 1044382514 1119074088 1152985424 1193580016 1220814672 1268178767 1297115589 1305586436 1424276112 1482417816 1513293369 1566573771 1585354958 1641172522 1729478136 1729487452 1790370024 1886713584 1944084912 1958379654 2017724492 2088765028 2238148176 2378032437 2461758783 2536357534 2594231178 2611172872 2964835632 3026586738 3133147542 3170709916 3282345044 3458956272 3458974904 3580740048 3804536301 3916759308 4035448984 4177530056 4756064874 4923517566 5072715068 5188462356 5222345744 5548742353 5744103827 6053173476 6266295084 6341419832 6564690088 6917949808 7609072602 7833518616 8070897968 8355060112 8877251369 9512129748 9847035132 10145430136 10220028887 10376924712 11097484706 11488207654 12106346952 12532590168 12682839664 13129380176 13949966437 15218145204 15667037232 16646227059 17232311481 17754502738 19024259496 19694070264 20290860272 20440057774 20753849424 22194969412 22976415308 24212693904 25065180336 26631754107 27899932874 30436290408 30660086661 33292454118 34464622962 35509005476 38048518992 39388140528 40880115548 41849899311 44389938824 45952830616 53263508214 55799865748 60872580816 61320173322 66584908236 68929245924 71018010952 71540202209 81760231096 83699798622 88779877648 91905661232 97649765059 106527016428 111599731496 112420317757 122640346644 133169816472 137858491848 142036021904 143080404418 163520462192 167399597244 173740491079 195299530118 213054032856 214620606627 223199462992 224840635514 245280693288 266339632944 275716983696 286160808836 292949295177 334799194488 337260953271 347480982158 390599060236 426108065712 429241213254 449681271028 490561386576 521221473237 572321617672 585898590354 669598388976 674521906542 694961964316 781198120472 786942224299 858482426508 899362542056 1042442946474 1144643235344 1171797180708 1216183437553 1349043813084 1389923928632 1562396240944 1573884448598 1716964853016 1798725084112 1911145401869 2084885892948 2343594361416 2360826672897 2432366875106 2698087626168 2779847857264 3147768897196 3433929706032 3648550312659 3822290803738 4169771785896 4687188722832 4721653345794 4864733750212 5396175252336 5733436205607 6295537794392 7297100625318 7644581607476 8339543571792 9443306691588 9729467500424 11466872411214 12591075588784 13378017813083 14594201250636 15289163214952 18886613383176 19458935000848 22933744822428 26756035626166 29188402501272 30578326429904 37773226766352 40134053439249 45867489644856 53512071252332 58376805002544 80268106878498 91734979289712 107024142504664 160536213756996 214048285009328 321072427513992 642144855027984
• Sum of all divisors σ(n): 2206836685983744
• Sum of proper divisors (its aliquot sum) s(n): 1564691830955760
• 642144855027984 is an abundant number, because the sum of its proper divisors (1564691830955760) is greater than itself. Its abundance is 922546975927776

Bases of 642144855027984

• Binary: 10010010000000011011111111111110100111000100010000₂
• Hexadecimal: 0x24806FFFA7110
• Base-36: 6BMD9UZTAO

Squares and roots of 642144855027984

• 642144855027984 squared (642144855027984²) is 412350014838910588245423104256
• 642144855027984 cubed (642144855027984³) is 264788440499519290862073997597578923029499904
• The square root of 642144855027984 is 25340577.2433854395
• The cube root of 642144855027984 is 86273.5500501985

Scales and comparisons

• 642,144,855,027,984 seconds is equal to 20,418,220 years, 5 weeks, 3 days, 9 hours, 6 minutes, 24 seconds.
• To count from 1 to 642,144,855,027,984 would take you about fifty-one million, forty-five thousand, five hundred fifty 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 642144855027984 cubic inches would be around 7189.5 feet tall.

Recreational maths with 642144855027984

• 642144855027984 backwards is 489720558441246
• The number of decimal digits it has is: 15
• The sum of 642144855027984's digits is 69
• More coming soon!