72814308514430976

Names of 72814308514430976

• Cardinal: 72814308514430976 can be written as Seventy-two quadrillion, eight hundred fourteen trillion, three hundred eight billion, five hundred fourteen million, four hundred thirty thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 7.2814308514430976 × 10¹⁶

Factors of 72814308514430976

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 54629

Divisors of 72814308514430976

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1024 1152 1328 1494 1536 1992 2048 2304 2656 2988 3072 3984 4096 4608 5312 5976 6144 7968 8192 9216 10624 11952 12288 15936 16384 18432 21248 23904 24576 31872 32768 36864 42496 47808 49152 54541 63744 73728 84992 95616 98304 109082 127488 147456 163623 169984 191232 218164 254976 294912 327246 339968 382464 436328 490869 509952 654492 679936 764928 872656 981738 1019904 1308984 1359872 1529856 1745312 1963476 2039808 2617968 2719744 3059712 3490624 3926952 4079616 4526903 5235936 6119424 6981248 7853904 8159232 9053806 10471872 12238848 13580709 13962496 15707808 18107612 20943744 24477696 27161418 27924992 31415616 36215224 40742127 41887488 54322836 55849984 62831232 72430448 81484254 83774976 108645672 111699968 125662464 144860896 162968508 167549952 217291344 223399936 251324928 289721792 325937016 335099904 434582688 446799872 502649856 579443584 651874032 670199808 869165376 893599744 1005299712 1158887168 1303748064 1340399616 1738330752 1787199488 2010599424 2317774336 2607496128 2680799232 2974720681 3476661504 4021198848 4635548672 5214992256 5361598464 5949441362 6953323008 8042397696 8924162043 9271097344 10429984512 11898882724 13906646016 16084795392 17848324086 18542194688 20859969024 23797765448 26772486129 27813292032 35696648172 37084389376 41719938048 47595530896 53544972258 55626584064 71393296344 74168778752 83439876096 95191061792 107089944516 111253168128 142786592688 148337557504 166879752192 190382123584 214179889032 222506336256 246901816523 285573185376 333759504384 380764247168 428359778064 445012672512 493803633046 571146370752 667519008768 740705449569 761528494336 856719556128 987607266092 1142292741504 1335038017536 1481410899138 1523056988672 1713439112256 1975214532184 2222116348707 2284585483008 2962821798276 3046113977344 3426878224512 3950429064368 4444232697414 4569170966016 5925643596552 6092227954688 6853756449024 7900858128736 8888465394828 9138341932032 11851287193104 12184455909376 13707512898048 15801716257472 17776930789656 18276683864064 23702574386208 24368911818752 27415025796096 31603432514944 35553861579312 36553367728128 47405148772416 48737823637504 54830051592192 63206865029888 71107723158624 73106735456256 94810297544832 97475647275008 109660103184384 126413730059776 142215446317248 146213470912512 189620595089664 219320206368768 252827460119552 284430892634496 292426941825024 379241190179328 438640412737536 505654920239104 568861785268992 758482380358656 877280825475072 1011309840478208 1137723570537984 1516964760717312 2022619680956416 2275447141075968 3033929521434624 4045239361912832 4550894282151936 6067859042869248 8090478723825664 9101788564303872 12135718085738496 18203577128607744 24271436171476992 36407154257215488 72814308514430976
• Sum of all divisors σ(n): 212887468509321060
• Sum of proper divisors (its aliquot sum) s(n): 140073159994890084
• 72814308514430976 is an abundant number, because the sum of its proper divisors (140073159994890084) is greater than itself. Its abundance is 67258851480459108

Bases of 72814308514430976

• Binary: 100000010101100000011101001010001100100011000000000000000₂
• Hexadecimal: 0x102B03A51918000
• Base-36: JWYINJJRB40

Squares and roots of 72814308514430976

• 72814308514430976 squared (72814308514430976²) is 5301923524434735327048445068312576
• 72814308514430976 cubed (72814308514430976³) is 386055895228110037354506952720403744911833144754176
• The square root of 72814308514430976 is 269841265.4032569867
• The cube root of 72814308514430976 is 417579.2499265771

Scales and comparisons

• 72,814,308,514,430,976 seconds is equal to 2,315,269,781 years, 16 weeks, 2 days, 12 hours, 9 minutes, 36 seconds.
• To count from 1 to 72,814,308,514,430,976 would take you about six billion, nine hundred forty-five million, eight hundred nine thousand, three hundred forty-three 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 72814308514430976 cubic inches would be around 34798.3 feet tall.

Recreational maths with 72814308514430976

• 72814308514430976 backwards is 67903441580341827
• 72814308514430976 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 72814308514430976's digits is 72
• More coming soon!