72135295616384

Names of 72135295616384

• Cardinal: 72135295616384 can be written as Seventy-two trillion, one hundred thirty-five billion, two hundred ninety-five million, six hundred sixteen thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 7.2135295616384 × 10¹³

Factors of 72135295616384

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 104

Divisors of 72135295616384

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 71 77 88 91 104 112 121 128 142 143 154 169 176 182 208 224 242 284 286 308 338 352 364 416 448 484 497 568 572 616 676 704 728 781 832 847 896 923 968 994 1001 1136 1144 1183 1232 1331 1352 1408 1456 1562 1573 1664 1694 1846 1859 1936 1988 2002 2272 2288 2366 2464 2662 2704 2912 3124 3146 3388 3692 3718 3872 3976 4004 4544 4576 4732 4928 5041 5324 5408 5467 5824 6248 6292 6461 6776 7384 7436 7744 7952 8008 8591 9088 9152 9317 9464 9856 10082 10153 10648 10816 10934 11011 11648 11999 12496 12584 12922 13013 13552 14768 14872 15488 15904 16016 17182 17303 18304 18634 18928 20164 20306 20449 21296 21632 21868 22022 23998 24992 25168 25844 26026 27104 29536 29744 31808 32032 34364 34606 35287 37268 37856 40328 40612 40898 42592 43736 44044 47996 49984 50336 51688 52052 54208 55451 59072 59488 60137 63616 64064 65533 68728 69212 70574 71071 74536 75712 80656 81224 81796 83993 85184 87472 88088 94501 95992 99968 100672 103376 104104 108416 110902 111683 118144 118976 120274 121121 128128 131066 131989 137456 138424 141148 142142 143143 149072 151424 161312 162448 163592 167986 170368 174944 176176 189002 191984 201344 206752 208208 221804 223366 224939 237952 240548 242242 262132 263978 274912 276848 282296 284284 286286 298144 322624 324896 327184 335972 349888 352352 357911 378004 383968 388157 413504 416416 443608 446732 449878 458731 481096 484484 524264 527956 549824 553696 564592 568568 572572 596288 609961 645248 649792 654368 661507 671944 699776 704704 715822 720863 756008 767936 776314 781781 827008 832832 851929 887216 893464 899756 917462 923923 962192 968968 1048528 1055912 1099648 1107392 1129184 1137136 1145144 1192576 1219922 1228513 1299584 1308736 1323014 1343888 1409408 1431644 1441726 1451879 1512016 1535872 1552628 1563562 1574573 1665664 1703858 1774432 1786928 1799512 1834924 1847846 1924384 1937936 2097056 2111824 2214784 2258368 2274272 2290288 2439844 2457026 2505377 2617472 2646028 2687776 2863288 2883452 2903758 3024032 3105256 3127124 3149146 3407716 3548864 3573856 3599024 3669848 3695692 3848768 3875872 3937021 4194112 4223648 4269727 4516736 4548544 4580576 4652843 4879688 4914052 5010754 5046041 5292056 5375552 5726576 5766904 5807516 5963503 6048064 6210512 6254248 6298292 6709571 6815432 7097728 7147712 7198048 7339696 7391384 7697536 7751744 7874042 7929493 8388224 8447296 8539454 8599591 9097088 9161152 9305686 9371219 9759376 9828104 10021508 10092082 10163153 10584112 10751104 11453152 11533808 11615032 11927006 12096128 12421024 12508496 12596584 13419142 13630864 14295424 14396096 14679392 14782768 15503488 15748084 15858986 15970669 16894592 17078908 17199182 18322304 18611372 18742438 19518752 19656208 20043016 20184164 20326306 21168224 22906304 23067616 23230064 23854012 24842048 25016992 25193168 26838284 27261728 27559147 28792192 29358784 29565536 31496168 31717972 31941338 32569901 34157816 34398364 37222744 37484876 39037504 39312416 40086032 40368328 40652612 42336448 43307231 45812608 46135232 46460128 46966997 47708024 49684096 50033984 50386336 51181273 53676568 54523456 55118294 55506451 58717568 59131072 60486959 62992336 63435944 63882676 65139802 65598533 68315632 68796728 74445488 74969752 78075008 78624832 80172064 80736656 81305224 84672896 86614462 87224423 92270464 92920256 93933994 95416048 100067968 100772672 102362546 103083409 107353136 109046912 110236588 111012902 111794683 118262144 120973918 125984672 126871888 127765352 130279604 131197066 136631264 137593456 148890976 149939504 157249664 160344128 161473312 162610448 173228924 174448846 185840512 187867988 190832096 201545344 204725092 206166818 214706272 220473176 222025804 223589366 241947836 251969344 253743776 255530704 260559208 262394132 273262528 275186912 297781952 299879008 303150617 320688256 322946624 325220896 346457848 348897692 358268911 375735976 381664192 409450184 412333636 423408713 429412544 440946352 444051608 447178732 476379541 483895672 503938688 507487552 511061408 521118416 524788264 546525056 550373824 562994003 595563904 599758016 606301234 610570961 645893248 650441792 665356549 692915696 697795384 716537822 721583863 751471952 763328384 818900368 824667272 846817426 858825088 881892704 888103216 894357464 952759082 967791344 1014975104 1022122816 1042236832 1049576528 1100747648 1125988006 1133917499 1199516032 1212602468 1221141922 1300883584 1330713098 1385831392 1395590768 1433075644 1443167726 1502943904 1637800736 1649334544 1693634852 1763785408 1776206432 1788714928 1905518164 1935582688 2044245632 2084473664 2099153056 2251976012 2267834998 2425204936 2442283844 2661426196 2771662784 2791181536 2866151288 2886335452 3005887808 3275601472 3298669088 3334656787 3387269704 3527570816 3552412864 3577429856 3811036328 3871165376 3940958021 4168947328 4198306112 4503952024 4535669996 4657495843 4850409872 4884567688 5322852392 5543325568 5582363072 5732302576 5772670904 6011775616 6192934033 6551202944 6597338176 6669313574 6774539408 7104825728 7154859712 7318922039 7622072656 7742330752 7881916042 7937422493 8396612224 9007904048 9071339992 9314991686 9700819744 9769135376 10645704784 11164726144 11464605152 11545341808 12385868066 13194676352 13338627148 13549078816 14309719424 14637844078 15244145312 15763832084 15874844986 18015808096 18142679984 18629983372 19401639488 19538270752 21291409568 22929210304 23090683616 24771736132 26677254296 27098157632 29275688156 30488290624 31527664168 31749689972 36031616192 36285359968 37259966744 38803278976 39076541504 42582819136 43350538231 45858420608 46181367232 49543472264 51232454273 53354508592 54196315264 58551376312 60976581248 63055328336 63499379944 72063232384 72570719936 74519933488 78153083008 80508142429 85165638272 86701076462 92362734464 99086944528 102464908546 106709017184 117102752624 126110656672 126998759888 145141439872 149039866976 161016284858 173402152924 198173889056 204929817092 213418034368 234205505248 252221313344 253997519776 298079733952 322032569716 346804305848 396347778112 409859634184 426836068736 468411010496 504442626688 507995039552 563556997003 596159467904 644065139432 693608611696 792695556224 819719268368 936822020992 1015990079104 1127113994006 1288130278864 1387217223392 1639438536736 2254227988012 2576260557728 2774434446784 3278877073472 4508455976024 5152521115456 5548868893568 6557754146944 9016911952048 10305042230912 18033823904096 36067647808192 72135295616384
• Sum of all divisors σ(n): 198407311211520
• Sum of proper divisors (its aliquot sum) s(n): 126272015595136
• 72135295616384 is an abundant number, because the sum of its proper divisors (126272015595136) is greater than itself. Its abundance is 54136719978752

Bases of 72135295616384

• Binary: 10000011001101101001110101010111100010110000000₂
• Hexadecimal: 0x419B4EABC580
• Base-36: PKIHWJ5A8

Squares and roots of 72135295616384

• 72135295616384 squared (72135295616384²) is 5203500873663108726489235456
• 72135295616384 cubed (72135295616384³) is 375356073761800761114336923211360427311104
• The square root of 72135295616384 is 8493250.0031721659
• The cube root of 72135295616384 is 41627.7181397617

Scales and comparisons

• 72,135,295,616,384 seconds is equal to 2,293,679 years, 14 weeks, 19 hours, 39 minutes, 44 seconds.
• To count from 1 to 72,135,295,616,384 would take you about five million, seven hundred thirty-four thousand, one hundred ninety-eight 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 72135295616384 cubic inches would be around 3469 feet tall.

Recreational maths with 72135295616384

• 72135295616384 backwards is 48361659253127
• The number of decimal digits it has is: 14
• The sum of 72135295616384's digits is 62
• More coming soon!