72129586984187796

Names of 72129586984187796

• Cardinal: 72129586984187796 can be written as Seventy-two quadrillion, one hundred twenty-nine trillion, five hundred eighty-six billion, nine hundred eighty-four million, one hundred eighty-seven thousand, seven hundred ninety-six.

Scientific notation

• Scientific notation: 7.2129586984187796 × 10¹⁶

Factors of 72129586984187796

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3110

Divisors of 72129586984187796

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 547 588 686 756 882 1029 1094 1323 1372 1641 1764 2058 2188 2551 2646 3087 3282 3829 4116 4923 5102 5292 6174 6564 7653 7658 9261 9846 10204 11487 12348 14769 15306 15316 17857 18522 19692 22959 22974 26803 29538 30612 34461 35714 37044 45918 45948 53571 53606 59076 68877 68922 71428 80409 91836 103383 107142 107212 124999 137754 137844 160713 160818 187621 206766 214284 241227 249998 275508 299209 321426 321636 374997 375242 413532 482139 482454 499996 562863 598418 642852 723681 749994 750484 874993 897627 964278 964908 1124991 1125726 1196836 1395397 1447362 1499988 1688589 1749986 1795254 1928556 2094463 2249982 2251452 2624979 2692881 2790794 2894724 3374973 3377178 3499972 3590508 4186191 4188926 4499964 5065767 5249958 5385762 5581588 6283389 6507601 6749946 6754356 7874937 8078643 8372382 8377852 9767779 10131534 10499916 10771524 12558573 12566778 13015202 13499892 14661241 15749874 16157286 16744764 18850167 19522803 19535558 20263068 23624811 25117146 25133556 26030404 29303337 29322482 31499748 32314572 37675719 37700334 39045606 39071116 43983723 45553207 47249622 50234292 56550501 58568409 58606674 58644964 68374453 75351438 75400668 78091212 87910011 87967446 91106414 94499244 102628687 113101002 117136818 117213348 131951169 136659621 136748906 150702876 175705227 175820022 175934892 182212828 205123359 205257374 226202004 234273636 263730033 263902338 273319242 273497812 307886061 318872449 351410454 351640044 395853507 409978863 410246718 410514748 478621171 527460066 527804676 546638484 615370077 615772122 637744898 702820908 763282159 791707014 819957726 820493436 923658183 956617347 957242342 1054920132 1229936589 1230740154 1231544244 1275489796 1435863513 1526564318 1583414028 1639915452 1846110231 1847316366 1913234694 1914484684 2232107143 2289846477 2459873178 2461480308 2770974549 2869852041 2871727026 3053128636 3559657747 3692220462 3694632732 3826469388 4307590539 4464214286 4579692954 4919746356 5342975113 5541949098 5739704082 5743454052 6696321429 6869539431 7119315494 7384440924 8609556123 8615181078 8928428572 9159385908 10678973241 10685950226 11083898196 11479408164 12922771617 13392642858 13739078862 14238630988 16028925339 17219112246 17230362156 20088964287 20608618293 21357946482 21371900452 24917604229 25845543234 26785285716 27478157724 32036919723 32057850678 34438224492 37400825791 40177928574 41217236586 42715892964 48086776017 49835208458 51691086468 60266892861 64073839446 64115701356 74752812687 74801651582 80355857148 82434473172 96110759169 96173552034 99670416916 112202477373 120533785722 128147678892 144260328051 149505625374 149603303164 174423229603 192221518338 192347104068 224258438061 224404954746 241067571444 261805780537 288520656102 299011250748 336607432119 348846459206 384443036676 448516876122 448809909492 523269688809 523611561074 577041312204 672775314183 673214864238 697692918412 785417341611 897033752244 1009822296357 1046539377618 1047223122148 1220962607221 1345550628366 1346429728476 1569809066427 1570834683222 1947132787609 2019644592714 2093078755236 2356252024833 2441925214442 2691101256732 3139618132854 3141669366444 3662887821663 3894265575218 4039289185428 4709427199281 4712504049666 4883850428884 5841398362827 6279236265708 7068756074499 7325775643326 7788531150436 9418854398562 9425008099332 10988663464989 11682796725654 13629929513263 14137512148998 14651551286652 17524195088481 18837708797124 21977326929978 23365593451308 27259859026526 28275024297996 32965990394967 35048390176962 40889788539789 43954653859956 52572585265443 54519718053052 65931980789934 70096780353924 81779577079578 95409506592841 105145170530886 122669365619367 131863961579868 163559154159156 190819013185682 210290341061772 245338731238734 286228519778523 368008096858101 381638026371364 490677462477468 572457039557046 667866546149887 736016193716202 858685559335569 1144914079114092 1335733092299774 1472032387432404 1717371118671138 2003599638449661 2576056678006707 2671466184599548 3434742237342276 4007199276899322 5152113356013414 6010798915348983 8014398553798644 10304226712026828 12021597830697966 18032396746046949 24043195661395932 36064793492093898 72129586984187796
• Sum of all divisors σ(n): 218563960475952000
• Sum of proper divisors (its aliquot sum) s(n): 146434373491764204
• 72129586984187796 is an abundant number, because the sum of its proper divisors (146434373491764204) is greater than itself. Its abundance is 74304786507576408

Bases of 72129586984187796

• Binary: 100000000010000010111101000101001111111001111011110010100₂
• Hexadecimal: 0x100417A29FCF794
• Base-36: JQ7SYTBMYL0

Squares and roots of 72129586984187796

• 72129586984187796 squared (72129586984187796²) is 5202677318509513512090529795337616
• 72129586984187796 cubed (72129586984187796³) is 375266966196092870091564017154964844052635366934336
• The square root of 72129586984187796 is 268569519.8346003599
• The cube root of 72129586984187796 is 416266.2000142335

Scales and comparisons

• 72,129,586,984,187,796 seconds is equal to 2,293,497,754 years, 33 weeks, 8 hours, 36 minutes, 36 seconds.
• To count from 1 to 72,129,586,984,187,796 would take you about six billion, eight hundred eighty million, four hundred ninety-three thousand, two hundred sixty-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 72129586984187796 cubic inches would be around 34688.9 feet tall.

Recreational maths with 72129586984187796

• 72129586984187796 backwards is 69778148968592127
• The number of decimal digits it has is: 17
• The sum of 72129586984187796's digits is 99
• More coming soon!