72821968128

Names of 72821968128

• Cardinal: 72821968128 can be written as Seventy-two billion, eight hundred twenty-one million, nine hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 7.2821968128 × 10¹⁰

Factors of 72821968128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 20473

Divisors of 72821968128

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 128 136 144 153 156 168 182 192 204 208 221 224 234 238 252 256 272 273 288 306 312 336 357 364 384 408 416 442 448 468 476 504 544 546 576 612 624 663 672 714 728 768 816 819 832 884 896 936 952 1008 1071 1088 1092 1152 1224 1248 1326 1344 1428 1456 1547 1632 1638 1664 1768 1792 1872 1904 1989 2016 2142 2176 2184 2304 2448 2496 2652 2688 2856 2912 3094 3264 3276 3328 3536 3744 3808 3978 4032 4284 4352 4368 4641 4896 4992 5304 5376 5712 5824 6188 6528 6552 7072 7488 7616 7956 8064 8568 8736 9282 9792 9984 10608 11424 11648 12376 13056 13104 13923 14144 14976 15232 15912 16128 17136 17472 18564 19584 20431 21216 22848 23296 24752 26208 27846 28288 29952 30464 31824 34272 34944 37128 39168 40862 42432 45696 49504 52416 55692 56576 61293 63648 68544 69888 74256 81724 84864 91392 99008 104832 111384 122586 127296 137088 143017 148512 163448 169728 183879 198016 209664 222768 245172 254592 265603 274176 286034 297024 326896 347327 367758 396032 429051 445536 490344 509184 531206 572068 594048 653792 694654 735516 796809 858102 891072 980688 1041981 1062412 1144136 1188096 1287153 1307584 1389308 1471032 1593618 1716204 1782144 1859221 1961376 2083962 2124824 2288272 2390427 2431289 2574306 2615168 2778616 2942064 3125943 3187236 3432408 3564288 3718442 3922752 4167924 4249648 4515251 4576544 4780854 4862578 5148612 5230336 5557232 5577663 5884128 6251886 6374472 6864816 7293867 7436884 7845504 8335848 8499296 9030502 9153088 9561708 9725156 10297224 11114464 11155326 11768256 12503772 12748944 13545753 13729632 14587734 14873768 15691008 16671696 16732989 16998592 18061004 18306176 19123416 19450312 20594448 21881601 22228928 22310652 23536512 25007544 25497888 27091506 27459264 29175468 29747536 31606757 33343392 33465978 33997184 36122008 36612352 38246832 38900624 40637259 41188896 43763202 44457856 44621304 47073024 50015088 50995776 54183012 54918528 58350936 59495072 63213514 66686784 66931956 67994368 72244016 76493664 77801248 81274518 82377792 87526404 88915712 89242608 94820271 100030176 101991552 108366024 109837056 116701872 118990144 126427028 133373568 133863912 144488032 152987328 155602496 162549036 164755584 175052808 178485216 189640542 200060352 203983104 216732048 233403744 237980288 252854056 266747136 267727824 284460813 288976064 305974656 311204992 325098072 329511168 350105616 356970432 379281084 400120704 433464096 466807488 475960576 505708112 535455648 568921626 577952128 611949312 622409984 650196144 700211232 713940864 758562168 800241408 866928192 933614976 1011416224 1070911296 1137843252 1155904256 1300392288 1400422464 1427881728 1517124336 1733856384 1867229952 2022832448 2141822592 2275686504 2600784576 2800844928 3034248672 3467712768 4045664896 4283645184 4551373008 5201569152 5601689856 6068497344 8091329792 9102746016 10403138304 12136994688 18205492032 24273989376 36410984064 72821968128
• Sum of all divisors σ(n): 273631228416
• Sum of proper divisors (its aliquot sum) s(n): 200809260288
• 72821968128 is an abundant number, because the sum of its proper divisors (200809260288) is greater than itself. Its abundance is 127987292160

Bases of 72821968128

• Binary: 1000011110100100001110000110100000000₂
• Hexadecimal: 0x10F4870D00
• Base-36: XGCBI80

Squares and roots of 72821968128

• 72821968128 squared (72821968128²) is 5303039042035447824384
• 72821968128 cubed (72821968128³) is 386177740100645033713498589233152
• The square root of 72821968128 is 269855.4578436387
• The cube root of 72821968128 is 4175.9389166209

Scales and comparisons

• 72,821,968,128 seconds is equal to 2,315 years, 26 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 72,821,968,128 would take you about four thousand, six hundred thirty-one 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 72821968128 cubic inches would be around 348 feet tall.

Recreational maths with 72821968128

• 72821968128 backwards is 82186912827
• The number of decimal digits it has is: 11
• The sum of 72821968128's digits is 54
• More coming soon!