642923848012032

Names of 642923848012032

• Cardinal: 642923848012032 can be written as Six hundred forty-two trillion, nine hundred twenty-three billion, eight hundred forty-eight million, twelve thousand and thirty-two.

Scientific notation

• Scientific notation: 6.42923848012032 × 10¹⁴

Factors of 642923848012032

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1217

Divisors of 642923848012032

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 549 576 732 768 864 976 1098 1151 1152 1464 1647 1728 1952 2196 2302 2304 2928 3294 3453 3456 3904 4392 4604 5856 6588 6906 6912 7808 8784 9208 10359 11712 13176 13812 15616 17568 18416 20718 23424 26352 27624 31077 35136 36832 41436 46848 52704 55248 62154 70211 70272 73664 82872 105408 110496 124308 140422 140544 147328 165744 210633 210816 220992 248616 280844 294656 331488 421266 421632 441984 497232 561688 631899 662976 842532 883968 994464 1123376 1263798 1324801 1325952 1685064 1895697 1988928 2246752 2527596 2649602 2651904 3370128 3791394 3974403 3977856 4493504 5055192 5299204 6740256 7582788 7948806 7955712 8987008 10110384 10598408 11923209 13480512 15165576 15897612 17974016 20220768 21196816 23846418 26961024 30331152 31795224 35769627 40441536 42393632 47692836 53922048 60662304 63590448 71539254 80812861 80883072 84787264 95385672 121324608 127180896 143078508 161625722 161766144 169574528 190771344 242438583 242649216 254361792 286157016 323251444 339149056 381542688 484877166 485298432 508723584 572314032 646502888 727315749 763085376 969754332 1017447168 1144628064 1293005776 1454631498 1524845951 1526170752 1939508664 2181947247 2289256128 2586011552 2909262996 3049691902 3052341504 3879017328 4363894494 4574537853 4578512256 5172023104 5818525992 6099383804 7758034656 8727788988 9149075706 9157024512 10344046208 11637051984 12198767608 13723613559 15516069312 17455577976 18298151412 20688092416 23274103968 24397535216 27447227118 31032138624 34911155952 36596302824 41170840677 46548207936 48795070432 54894454236 62064277248 69822311904 73192605648 82341681354 93015603011 93096415872 97590140864 109788908472 139644623808 146385211296 164683362708 186031206022 186192831744 195180281728 219577816944 279046809033 279289247616 292770422592 329366725416 372062412044 390360563456 439155633888 558093618066 558578495232 585540845184 658733450832 744124824088 837140427099 878311267776 1116187236132 1171081690368 1317466901664 1488249648176 1674280854198 1756622535552 2232374472264 2511421281297 2634933803328 2976499296352 3348561708396 3513245071104 4464748944528 5022842562594 5269867606656 5952998592704 6697123416792 8929497889056 10045685125188 10539735213312 11905997185408 13394246833584 17858995778112 20091370250376 23811994370816 26788493667168 35717991556224 40182740500752 53576987334336 71435983112448 80365481001504 107153974668672 160730962003008 214307949337344 321461924006016 642923848012032
• Sum of all divisors σ(n): 1934087130501120
• Sum of proper divisors (its aliquot sum) s(n): 1291163282489088
• 642923848012032 is an abundant number, because the sum of its proper divisors (1291163282489088) is greater than itself. Its abundance is 648239434477056

Bases of 642923848012032

• Binary: 10010010001011110001011111100101000001000100000000₂
• Hexadecimal: 0x248BC5F941100
• Base-36: 6BWB4ZAYO0

Squares and roots of 642923848012032

• 642923848012032 squared (642923848012032²) is 413351074342598423478416769024
• 642923848012032 cubed (642923848012032³) is 265753263296250888867967398319929594916896768
• The square root of 642923848012032 is 25355943.0511277179
• The cube root of 642923848012032 is 86308.4224166963

Scales and comparisons

• 642,923,848,012,032 seconds is equal to 20,442,989 years, 34 weeks, 6 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 642,923,848,012,032 would take you about fifty-one million, one hundred seven thousand, four hundred seventy-four 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 642923848012032 cubic inches would be around 7192.4 feet tall.

Recreational maths with 642923848012032

• 642923848012032 backwards is 230210848329246
• 642923848012032 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 642923848012032's digits is 54
• More coming soon!