72108900864

Names of 72108900864

• Cardinal: 72108900864 can be written as Seventy-two billion, one hundred eight million, nine hundred thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 7.2108900864 × 10¹⁰

Factors of 72108900864

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 229

Divisors of 72108900864

• Number of divisors d(n): 1120
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 39 42 44 48 52 54 56 63 64 66 72 77 78 81 84 88 91 96 99 104 108 112 117 126 128 132 143 144 154 156 162 168 176 182 189 192 193 198 208 216 224 231 234 243 252 256 264 273 286 288 297 308 312 324 336 351 352 364 378 384 386 396 416 429 432 448 462 468 486 504 512 528 546 567 572 576 579 594 616 624 648 672 693 702 704 728 729 756 768 772 792 819 832 858 864 891 896 924 936 972 1001 1008 1053 1056 1092 1134 1144 1152 1158 1188 1232 1248 1287 1296 1344 1351 1386 1404 1408 1456 1458 1512 1536 1544 1584 1638 1664 1701 1716 1728 1737 1782 1792 1848 1872 1944 2002 2016 2079 2106 2112 2123 2184 2268 2288 2304 2316 2376 2457 2464 2496 2509 2574 2592 2673 2688 2702 2772 2808 2816 2912 2916 3003 3024 3088 3159 3168 3276 3328 3402 3432 3456 3474 3564 3584 3696 3744 3861 3888 4004 4032 4053 4158 4212 4224 4246 4368 4536 4576 4608 4632 4752 4914 4928 4992 5018 5103 5148 5184 5211 5346 5376 5404 5544 5616 5632 5824 5832 6006 6048 6176 6237 6318 6336 6369 6552 6656 6804 6864 6912 6948 7128 7371 7392 7488 7527 7722 7776 8008 8019 8064 8106 8316 8424 8448 8492 8736 9009 9072 9152 9264 9477 9504 9828 9856 9984 10036 10206 10296 10368 10422 10692 10752 10808 11088 11232 11583 11648 11664 12012 12096 12159 12352 12474 12636 12672 12738 13104 13608 13728 13824 13896 14256 14742 14784 14861 14976 15054 15444 15552 15633 16016 16038 16128 16212 16632 16848 16896 16984 17472 17563 18018 18144 18304 18528 18711 18954 19008 19107 19656 19712 19968 20072 20412 20592 20736 20844 21384 21616 22113 22176 22464 22581 23166 23296 23328 24024 24192 24318 24704 24948 25272 25344 25476 26208 27027 27216 27456 27599 27792 28512 29484 29568 29722 29952 30108 30888 31104 31266 32032 32076 32256 32424 33264 33696 33968 34749 34944 35126 36036 36288 36477 36608 37056 37422 37908 38016 38214 39312 39424 40144 40824 41184 41472 41688 42768 43232 44226 44352 44583 44928 45162 46332 46592 46656 46899 48048 48384 48636 49408 49896 50544 50688 50952 52416 52689 54054 54432 54912 55198 55584 56133 57024 57321 58968 59136 59444 59904 60216 61776 62208 62532 64064 64152 64848 66339 66528 67392 67743 67936 69498 69888 70252 72072 72576 72954 73216 74112 74844 75816 76032 76428 78624 80288 81081 81648 82368 82797 83376 85536 86464 88452 88704 89166 89856 90324 92664 93312 93798 96096 96768 97272 98816 99792 101088 101904 104247 104832 105378 108108 108864 109431 109824 110396 111168 112266 114048 114642 117936 118272 118888 120432 123552 124416 125064 128128 128304 129696 132678 133056 133749 134784 135486 135872 138996 139776 140504 140697 144144 145152 145908 148224 149688 151632 152064 152856 157248 158067 160576 162162 163296 164736 165594 166752 171072 171963 172928 176904 177408 178332 179712 180648 185328 186624 187596 192192 193193 194544 199584 202176 203229 203808 208494 209664 210756 216216 217728 218862 219648 220792 222336 224532 228096 229284 235872 237776 240864 243243 247104 248391 250128 256256 256608 259392 265356 266112 267498 269568 270972 271744 277992 281008 281394 288288 290304 291816 296448 299376 303264 305712 314496 316134 321152 324324 326592 328293 329472 331188 333504 342144 343926 345856 353808 354816 356664 361296 370656 373248 375192 384384 386386 389088 399168 401247 404352 406458 407616 416988 419328 421512 432432 435456 437724 441584 444672 449064 456192 458568 471744 474201 475552 481728 486486 494208 496782 500256 512512 513216 515889 518784 530712 532224 534996 539136 541944 543488 555984 562016 562788 576576 579579 583632 598752 606528 609687 611424 628992 632268 642304 648648 653184 656586 658944 662376 667008 684288 687852 691712 707616 713328 722592 729729 741312 745173 750384 768768 772772 778176 798336 802494 808704 812916 815232 833976 843024 864864 870912 875448 883168 889344 898128 917136 943488 948402 951104 963456 972972 984879 988416 993564 1000512 1026432 1031778 1037568 1061424 1064448 1069992 1083888 1086976 1111968 1124032 1125576 1153152 1159158 1167264 1197504 1203741 1213056 1219374 1222848 1257984 1264536 1284608 1297296 1306368 1313172 1324752 1334016 1368576 1375704 1415232 1422603 1426656 1445184 1459458 1482624 1490346 1500768 1537536 1545544 1547667 1556352 1596672 1604988 1617408 1625832 1630464 1667952 1686048 1729728 1738737 1750896 1766336 1796256 1829061 1834272 1886976 1896804 1902208 1926912 1945944 1969758 1976832 1987128 2001024 2052864 2063556 2075136 2122848 2139984 2167776 2223936 2235519 2248064 2251152 2306304 2318316 2334528 2395008 2407482 2426112 2438748 2445696 2529072 2594592 2612736 2626344 2649504 2668032 2751408 2830464 2845206 2853312 2890368 2918916 2965248 2980692 3001536 3091088 3095334 3112704 3193344 3209976 3251664 3260928 3335904 3372096 3459456 3477474 3501792 3532672 3592512 3611223 3658122 3668544 3773952 3793608 3804416 3853824 3891888 3939516 3974256 4002048 4105728 4127112 4245696 4267809 4279968 4335552 4447872 4471038 4496128 4502304 4612608 4636632 4669056 4790016 4814964 4852224 4877496 4891392 5058144 5189184 5216211 5252688 5299008 5502816 5660928 5690412 5706624 5780736 5837832 5930496 5961384 6003072 6182176 6190668 6225408 6419952 6503328 6671808 6706557 6744192 6918912 6954948 7003584 7065344 7185024 7222446 7316244 7337088 7587216 7608832 7783776 7879032 7948512 8004096 8254224 8491392 8535618 8559936 8671104 8895744 8942076 8992256 9004608 9273264 9338112 9580032 9629928 9754992 9782784 10116288 10378368 10432422 10505376 10598016 10833669 11005632 11321856 11380824 11413248 11561472 11675664 11922768 12006144 12364352 12381336 12803427 12839904 13006656 13343616 13413114 13488384 13837824 13909896 14007168 14130688 14370048 14444892 14632488 14674176 15174432 15567552 15648633 15758064 15897024 16508448 16982784 17071236 17119872 17342208 17791488 17884152 18009216 18546528 18676224 19259856 19509984 20119671 20232576 20756736 20864844 21010752 21196032 21667338 22011264 22761648 22826496 23351328 23845536 24012288 24728704 24762672 25606854 25679808 26013312 26687232 26826228 26976768 27819792 28014336 28740096 28889784 29264976 29348352 30348864 31135104 31297266 31516128 31794048 33016896 33965568 34142472 34239744 34684416 35768304 36018432 37093056 38519712 39019968 40239342 40465152 41513472 41729688 42021504 42392064 43334676 44022528 45523296 46702656 46945899 47691072 49457408 49525344 51213708 51359616 52026624 53374464 53652456 55639584 56028672 57779568 58529952 60697728 62270208 62594532 63032256 63588096 66033792 68284944 68479488 71536608 72036864 74186112 77039424 78039936 80478684 80930304 83459376 84043008 86669352 88045056 91046592 93405312 93891798 95382144 98914816 99050688 102427416 102719232 104053248 107304912 111279168 115559136 117059904 121395456 124540416 125189064 126064512 127176192 132067584 136569888 140837697 143073216 148372224 154078848 156079872 160957368 166918752 168086016 173338704 182093184 186810624 187783596 190764288 198101376 204854832 205438464 214609824 222558336 231118272 234119808 242790912 250378128 252129024 264135168 273139776 281675394 286146432 296744448 308157696 312159744 321914736 333837504 346677408 364186368 373621248 375567192 381528576 396202752 409709664 429219648 445116672 462236544 468239616 500756256 504258048 546279552 563350788 572292864 616315392 643829472 667675008 693354816 728372736 751134384 792405504 819419328 858439296 890233344 924473088 936479232 1001512512 1092559104 1126701576 1144585728 1287658944 1335350016 1386709632 1502268768 1638838656 1716878592 1848946176 2003025024 2185118208 2253403152 2575317888 2670700032 2773419264 3004537536 3277677312 3433757184 4006050048 4506806304 5150635776 5546838528 6009075072 6555354624 8012100096 9013612608 10301271552 12018150144 18027225216 24036300288 36054450432 72108900864
• Sum of all divisors σ(n): 291539090304
• Sum of proper divisors (its aliquot sum) s(n): 219430189440
• 72108900864 is an abundant number, because the sum of its proper divisors (219430189440) is greater than itself. Its abundance is 147321288576

Bases of 72108900864

• Binary: 1000011001010000001101000001000000000₂
• Hexadecimal: 0x10CA068200
• Base-36: X4JS000

Squares and roots of 72108900864

• 72108900864 squared (72108900864²) is 5199693583814179946496
• 72108900864 cubed (72108900864³) is 374944189158433576759336888172544
• The square root of 72108900864 is 268531.0054053349
• The cube root of 72108900864 is 4162.2640240221

Scales and comparisons

• 72,108,900,864 seconds is equal to 2,292 years, 43 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 72,108,900,864 would take you about four thousand, five hundred eighty-five 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 72108900864 cubic inches would be around 346.9 feet tall.

Recreational maths with 72108900864

• 72108900864 backwards is 46800980127
• The number of decimal digits it has is: 11
• The sum of 72108900864's digits is 45
• More coming soon!