72105132818204640

Names of 72105132818204640

• Cardinal: 72105132818204640 can be written as Seventy-two quadrillion, one hundred five trillion, one hundred thirty-two billion, eight hundred eighteen million, two hundred four thousand, six hundred forty.

Scientific notation

• Scientific notation: 7.210513281820464 × 10¹⁶

Factors of 72105132818204640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 216766272329

Divisors of 72105132818204640

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 165 168 176 180 189 198 210 216 220 224 231 240 252 264 270 280 288 297 308 315 330 336 352 360 378 385 396 420 432 440 462 480 495 504 528 540 560 594 616 630 660 672 693 720 756 770 792 840 864 880 924 945 990 1008 1056 1080 1120 1155 1188 1232 1260 1320 1386 1440 1485 1512 1540 1584 1680 1760 1848 1890 1980 2016 2079 2160 2310 2376 2464 2520 2640 2772 2970 3024 3080 3168 3360 3465 3696 3780 3960 4158 4320 4620 4752 5040 5280 5544 5940 6048 6160 6930 7392 7560 7920 8316 9240 9504 10080 10395 11088 11880 12320 13860 15120 15840 16632 18480 20790 22176 23760 27720 30240 33264 36960 41580 47520 55440 66528 83160 110880 166320 332640 216766272301 433532544602 650298816903 867065089204 1083831361505 1300597633806 1517363906107 1734130178408 1950896450709 2167662723010 2384428995311 2601195267612 3034727812214 3251494084515 3468260356816 3901792901418 4335325446020 4552091718321 4768857990622 5202390535224 5852689352127 6069455624428 6502988169030 6936520713632 7153286985933 7586819530535 7803585802836 8670650892040 9104183436642 9537715981244 9754482253545 10404781070448 11705378704254 11922144976555 12138911248856 13005976338060 13656275154963 14306573971866 15173639061070 15607171605672 16691002967177 17341301784080 18208366873284 19075431962488 19508964507090 20809562140896 21459860957799 22760458591605 23410757408508 23844289953110 24277822497712 26011952676120 27312550309926 28613147943732 29263446760635 30347278122140 31214343211344 33382005934354 34682603568160 35766434929665 36416733746568 38150863924976 39017929014180 40968825464889 42919721915598 45520917183210 46821514817016 47688579906220 48555644995424 50073008901531 52023905352240 54625100619852 57226295887464 58526893521270 60694556244280 62428686422688 64379582873397 66764011868708 68281375774815 71532869859330 72833467493136 76301727849952 78035858028360 81937650929778 83455014835885 85839443831196 91041834366420 93643029634032 95377159812440 100146017803062 104047810704480 107299304788995 109250201239704 114452591774928 117053787042540 121389112488560 128759165746794 133528023737416 136562751549630 143065739718660 145666934986272 150219026704593 156071716056720 163875301859556 166910029671770 171678887662392 182083668732840 187286059268064 190754319624880 200292035606124 204844127324445 214598609577990 218500402479408 228905183549856 234107574085080 242778224977120 250365044507655 257518331493588 267056047474832 273125503099260 286131479437320 300438053409186 312143432113440 321897914366985 327750603719112 333820059343540 343357775324784 364167337465680 381508639249760 400584071212248 409688254648890 429197219155980 437000804958816 450657080113779 468215148170160 500730089015310 515036662987176 534112094949664 546251006198520 572262958874640 600876106818372 643795828733970 655501207438224 667640118687080 686715550649568 728334674931360 751095133522965 801168142424496 819376509297780 858394438311960 901314160227558 936430296340320 1001460178030620 1030073325974352 1092502012397040 1144525917749280 1201752213636744 1287591657467940 1311002414876448 1335280237374160 1502190267045930 1602336284848992 1638753018595560 1716788876623920 1802628320455116 2002920356061240 2060146651948704 2185004024794080 2253285400568895 2403504427273488 2575183314935880 2670560474748320 3004380534091860 3277506037191120 3433577753247840 3605256640910232 4005840712122480 4506570801137790 4807008854546976 5150366629871760 6008761068183720 6555012074382240 7210513281820464 8011681424244960 9013141602275580 10300733259743520 12017522136367440 14421026563640928 18026283204551160 24035044272734880 36052566409102320 72105132818204640
• Sum of all divisors σ(n): 314640579571799040
• Sum of proper divisors (its aliquot sum) s(n): 242535446753594400
• 72105132818204640 is an abundant number, because the sum of its proper divisors (242535446753594400) is greater than itself. Its abundance is 170430313935389760

Bases of 72105132818204640

• Binary: 100000000001010110011110001111100000111001000011111100000₂
• Hexadecimal: 0x1002B3C7C1C87E0
• Base-36: JPZ4WQ4LKO0

Squares and roots of 72105132818204640

• 72105132818204640 squared (72105132818204640²) is 5199150178730931809883792917529600
• 72105132818204640 cubed (72105132818204640³) is 374885414179186230929147511349654147829056057344000
• The square root of 72105132818204640 is 268523989.2788065969
• The cube root of 72105132818204640 is 416219.1523149793

Scales and comparisons

• 72,105,132,818,204,640 seconds is equal to 2,292,720,187 years, 41 weeks, 3 days, 20 hours, 24 minutes.
• To count from 1 to 72,105,132,818,204,640 would take you about six billion, eight hundred seventy-eight million, one hundred sixty thousand, five 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 72105132818204640 cubic inches would be around 34684.9 feet tall.

Recreational maths with 72105132818204640

• 72105132818204640 backwards is 04640281823150127
• 72105132818204640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 72105132818204640's digits is 54
• More coming soon!