72081936896986368

Names of 72081936896986368

• Cardinal: 72081936896986368 can be written as Seventy-two quadrillion, eighty-one trillion, nine hundred thirty-six billion, eight hundred ninety-six million, nine hundred eighty-six thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 7.2081936896986368 × 10¹⁶

Factors of 72081936896986368

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 6869905

Divisors of 72081936896986368

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 64 66 72 88 93 96 99 124 128 132 144 176 186 192 198 248 256 264 279 288 341 352 372 384 396 496 528 558 576 682 704 744 768 792 992 1023 1056 1116 1152 1364 1408 1488 1584 1984 2046 2112 2232 2304 2728 2816 2976 3069 3168 3968 4092 4224 4464 5456 5952 6138 6336 7936 8184 8448 8928 10912 11904 12276 12672 13381 16368 17856 21824 23808 24552 25344 26762 32736 35712 40143 43648 49104 53524 65472 71424 80286 87296 98208 107048 120429 130944 147191 160572 196416 214096 240858 261888 294382 321144 392832 414811 428192 441573 481716 588764 642288 785664 829622 856384 883146 963432 1177528 1244433 1284576 1324719 1659244 1712768 1766292 1926864 2355056 2488866 2569152 2649438 3318488 3425536 3532584 3733299 3853728 4562921 4710112 4977732 5138304 5298876 6636976 6856477 7065168 7466598 7707456 9125842 9420224 9955464 10276608 10597752 13273952 13688763 13712954 14130336 14933196 15414912 18251684 18840448 19910928 20569431 21195504 26547904 27377526 27425908 28260672 29866392 30829824 36503368 37680896 39821856 41066289 41138862 42391008 53095808 54755052 54851816 56521344 59732784 61708293 73006736 75421247 79643712 82132578 82277724 84782016 106191616 109510104 109703632 113042688 119465568 123416586 146013472 150842494 159287424 164265156 164555448 169564032 212550787 219020208 219407264 226263741 238931136 246833172 292026944 301684988 318574848 328530312 329110896 339128064 425101574 438040416 438814528 452527482 477862272 493666344 584053888 603369976 637652361 657060624 658221792 678791223 850203148 876080832 877629056 905054964 955724544 987332688 1168107776 1206739952 1275304722 1314121248 1316443584 1357582446 1700406296 1752161664 1755258112 1810109928 1912957083 1974665376 2338058657 2413479904 2550609444 2628242496 2632887168 2715164892 3400812592 3504323328 3620219856 3825914166 3949330752 4676117314 4826959808 5101218888 5256484992 5265774336 5430329784 6801625184 7014175971 7240439712 7651828332 7898661504 9352234628 9653919616 10202437776 10512969984 10860659568 13603250368 14028351942 14480879424 15303656664 15797323008 18704469256 19307839232 20404875552 21042527913 21721319136 27206500736 28056703884 28961758848 30607313328 37408938512 40809751104 42085055826 43442638272 54413001472 56113407768 57923517696 61214626656 74817877024 81619502208 84170111652 86885276544 91746518737 112226815536 122429253312 149635754048 163239004416 168340223304 173770553088 183493037474 224453631072 244858506624 275239556211 299271508096 336680446608 366986074948 448907262144 489717013248 550479112422 598543016192 673360893216 733972149896 825718668633 897814524288 1009211706107 1100958224844 1346721786432 1467944299792 1651437337266 1795629048576 2018423412214 2201916449688 2693443572864 2844142080847 2935888599584 3027635118321 3302874674532 4036846824428 4403832899376 5386887145728 5688284161694 5871777199168 6055270236642 6605749349064 8073693648856 8532426242541 8807665798752 9082905354963 11376568323388 11743554398336 12110540473284 13211498698128 16147387297712 17064852485082 17615331597504 18165810709926 22753136646776 23487108796672 24221080946568 25597278727623 26422997396256 31285562889317 32294774595424 34129704970164 35230663195008 36331621419852 45506273293552 48442161893136 51194557455246 52845994792512 62571125778634 64589549190848 68259409940328 70461326390016 72663242839704 91012546587104 93856688667951 96884323786272 102389114910492 105691989585024 125142251557268 129179098381696 136518819880656 145326485679408 182025093174208 187713377335902 193768647572544 204778229820984 211383979170048 250284503114536 258358196763392 273037639761312 281570066003853 290652971358816 364050186348416 375426754671804 387537295145088 409556459641968 500569006229072 546075279522624 563140132007706 581305942717632 728100372696832 750853509343608 775074590290176 819112919283936 1001138012458144 1092150559045248 1126280264015412 1162611885435264 1501707018687216 1638225838567872 2002276024916288 2184301118090496 2252560528030824 2325223770870528 3003414037374432 3276451677135744 4004552049832576 4505121056061648 6006828074748864 6552903354271488 8009104099665152 9010242112123296 12013656149497728 18020484224246592 24027312298995456 36040968448493184 72081936896986368
• Sum of all divisors σ(n): 234054820010199552
• Sum of proper divisors (its aliquot sum) s(n): 161972883113213184
• 72081936896986368 is an abundant number, because the sum of its proper divisors (161972883113213184) is greater than itself. Its abundance is 89890946216226816

Bases of 72081936896986368

• Binary: 100000000000101100010001111000011011101111000110100000000₂
• Hexadecimal: 0x1001623C3778D00
• Base-36: JPQWWO008W0

Squares and roots of 72081936896986368

• 72081936896986368 squared (72081936896986368²) is 5195805626821124746681440377831424
• 72081936896986368 cubed (72081936896986368³) is 374523733321527015474551869903365781076420730028032
• The square root of 72081936896986368 is 268480794.2795654945
• The cube root of 72081936896986368 is 416174.5155383061

Scales and comparisons

• 72,081,936,896,986,368 seconds is equal to 2,291,982,629 years, 13 weeks, 1 day, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 72,081,936,896,986,368 would take you about six billion, eight hundred seventy-five million, nine hundred forty-seven thousand, eight hundred eighty-seven 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 72081936896986368 cubic inches would be around 34681.2 feet tall.

Recreational maths with 72081936896986368

• 72081936896986368 backwards is 86368969863918027
• 72081936896986368 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 72081936896986368's digits is 99
• More coming soon!