106804120407294272

Names of 106804120407294272

• Cardinal: 106804120407294272 can be written as One hundred six quadrillion, eight hundred four trillion, one hundred twenty billion, four hundred seven million, two hundred ninety-four thousand, two hundred seventy-two.

Scientific notation

• Scientific notation: 1.06804120407294272 × 10¹⁷

Factors of 106804120407294272

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 429

Divisors of 106804120407294272

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 8 16 31 32 62 64 83 124 166 248 313 332 496 626 664 961 992 1252 1328 1922 1984 2504 2573 2656 3844 5008 5146 5312 6889 7688 9703 10016 10292 13778 15376 19406 20032 20584 25979 27556 29791 30752 38812 41168 51958 55112 59582 61504 77624 79763 82336 97969 103916 110224 119164 155248 159526 164672 195938 207832 213559 220448 238328 300793 310496 319052 391876 415664 427118 440896 476656 571787 601586 620992 638104 783752 805349 831328 854236 953312 1143574 1203172 1276208 1567504 1610698 1662656 1708472 1906624 2156257 2287148 2406344 2472653 2552416 3037039 3135008 3221396 3416944 4312514 4574296 4812688 4945306 5104832 6074078 6270016 6442792 6620329 6833888 8131427 8625028 9148592 9324583 9625376 9890612 12148156 12885584 13240658 13667776 16262854 17250056 17725397 18297184 18649166 19250752 19781224 24296312 24965819 25771168 26481316 32525708 34500112 35450794 36594368 37298332 39562448 48592624 49931638 51542336 52962632 65051416 66843967 69000224 70901588 74596664 79124896 94148209 97185248 99863276 105925264 130102832 133687934 138000448 141803176 149193328 158249792 178969331 188296418 194370496 199726552 205230199 211850528 252074237 260205664 267375868 283606352 298386656 357938662 376592836 399453104 410460398 423701056 504148474 520411328 534751736 549487307 567212704 596773312 674908441 715877324 753185672 773940389 798906208 820920796 1008296948 1069503472 1098974614 1134425408 1349816882 1431754648 1506371344 1547880778 1597812416 1641841592 2016593896 2072162977 2139006944 2197949228 2699633764 2863509296 2918594479 3012742688 3095761556 3283683184 4033187792 4144325954 4278013888 4395898456 5399267528 5548049261 5727018592 5837188958 6025485376 6191523112 6567366368 7814301347 8066375584 8288651908 8791796912 10798535056 11096098522 11454037184 11674377916 12383046224 13134732736 15628602694 16132751168 16577303816 17034106517 17583593824 20922161671 21597070112 22192197044 23348755832 24766092448 31257205388 33154607632 34068213034 35167187648 41844323342 43194140224 44384394088 46697511664 49532184896 56017400603 62514410776 64237052287 66309215264 68136426068 83688646684 88768788176 93395023328 112034801206 125028821552 128474104574 132618430528 136272852136 167377293368 171989527091 177537576352 186790046656 224069602412 242243341757 250057643104 256948209148 272545704272 334754586736 343979054182 355075152704 448139204824 484486683514 500115286208 513896418296 545091408544 648587011801 669509173472 687958108364 896278409648 968973367028 1027792836592 1090182817088 1297174023602 1339018346944 1375916216728 1736539418693 1792556819296 1937946734056 2055585673184 2594348047204 2751832433456 3473078837386 3585113638592 3875893468112 4111171346368 5188696094408 5331675339821 5503664866912 6946157674772 7751786936224 10377392188816 10663350679642 11007329733824 13892315349544 15503573872448 20106197365831 20754784377632 21326701359284 27784630699088 40212394731662 41509568755264 42653402718568 53832721979483 55569261398176 80424789463324 85306805437136 107665443958966 111138522796352 160849578926648 170613610874272 215330887917932 321699157853296 341227221748544 430661775835864 643398315706592 861323551671728 1286796631413184 1668814381363973 1722647103343456 3337628762727946 3445294206686912 6675257525455892 13350515050911784 26701030101823568 53402060203647136 106804120407294272
• Sum of all divisors σ(n): 222385098962557440
• Sum of proper divisors (its aliquot sum) s(n): 115580978555263168
• 106804120407294272 is an abundant number, because the sum of its proper divisors (115580978555263168) is greater than itself. Its abundance is 8776858147968896

Bases of 106804120407294272

• Binary: 101111011011100011100100000011001011011001100000101000000₂
• Hexadecimal: 0x17B71C8196CC140
• Base-36: T7MWFK9TZCW

Squares and roots of 106804120407294272

• 106804120407294272 squared (106804120407294272²) is 11407120135975812769889904004009984
• 106804120407294272 cubed (106804120407294272³) is 1218327432503231715571663365753374783797211514011648
• The square root of 106804120407294272 is 326808996.8273429769
• The cube root of 106804120407294272 is 474456.0649456865

Scales and comparisons

• 106,804,120,407,294,272 seconds is equal to 3,396,040,662 years, 6 weeks, 8 hours, 24 minutes, 32 seconds.
• To count from 1 to 106,804,120,407,294,272 would take you about ten billion, one hundred eighty-eight million, one hundred twenty-one thousand, nine hundred eighty-six 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 106804120407294272 cubic inches would be around 39538 feet tall.

Recreational maths with 106804120407294272

• 106804120407294272 backwards is 272492704021408601
• The number of decimal digits it has is: 18
• The sum of 106804120407294272's digits is 59
• More coming soon!