72138959184129408
72,138,959,184,129,408 is an even composite number composed of five prime numbers multiplied together.
72138959184129408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 72138959184129408:
27 × 313 × 232 × 832 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 83 × 83 × 97)See below for interesting mathematical facts about the number 72138959184129408 from the Numbermatics database.
Names of 72138959184129408
- Cardinal: 72138959184129408 can be written as Seventy-two quadrillion, one hundred thirty-eight trillion, nine hundred fifty-nine billion, one hundred eighty-four million, one hundred twenty-nine thousand, four hundred eight.
Scientific notation
- Scientific notation: 7.2138959184129408 × 1016
Factors of 72138959184129408
Divisors of 72138959184129408
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 83 92 96 97 108 128 138 144 162 166 184 192 194 207 216 243 249 276 288 291 324 332 368 384 388 414 432 486 498 529 552 576 582 621 648 664 729 736 747 776 828 864 873 972 996 1058 1104 1152 1164 1242 1296 1328 1458 1472 1494 1552 1587 1656 1728 1746 1863 1909 1944 1992 2116 2187 2208 2231 2241 2328 2484 2592 2619 2656 2916 2944 2988 3104 3174 3312 3456 3492 3726 3818 3888 3984 4232 4374 4416 4462 4482 4656 4761 4968 5184 5238 5312 5589 5727 5832 5976 6208 6348 6561 6624 6693 6723 6889 6984 7452 7636 7776 7857 7968 8051 8464 8748 8832 8924 8964 9312 9522 9936 10368 10476 10624 11178 11454 11664 11952 12416 12696 13122 13248 13386 13446 13778 13968 14283 14904 15272 15552 15714 15936 16102 16767 16928 17181 17496 17848 17928 18624 19044 19683 19872 20079 20169 20667 20952 22356 22908 23328 23571 23904 24153 25392 26244 26496 26772 26892 27556 27936 28566 29808 30544 31104 31428 31872 32204 33534 33856 34362 34992 35696 35856 37248 38088 39366 39744 40158 40338 41334 41904 42849 43907 44712 45816 46656 47142 47808 48306 50301 50784 51313 51543 52488 53544 53784 55112 55872 57132 59049 59616 60237 60507 61088 62001 62856 64408 67068 67712 68724 69984 70713 71392 71712 72459 76176 78732 79488 80316 80676 82668 83808 85698 87814 89424 91632 93312 94284 95616 96612 100602 101568 102626 103086 104976 107088 107568 110224 111744 114264 118098 119232 120474 121014 122176 124002 125712 128547 128816 131721 134136 137448 139968 141426 142784 143424 144918 150903 152352 153939 154629 157464 158447 160632 161352 165336 167616 171396 175628 177147 178848 180711 181521 183264 185173 186003 188568 193224 201204 203136 205252 206172 209952 212139 214176 215136 217377 220448 228528 236196 238464 240948 242028 244352 248004 251424 257094 257632 263442 268272 274896 279936 282852 285568 286848 289836 301806 304704 307878 309258 314928 316894 321264 322704 330672 335232 342792 351256 354294 357696 361422 363042 366528 370346 372006 377136 385641 386448 395163 402408 410504 412344 419904 424278 428352 430272 434754 440896 452709 457056 461817 463887 472392 475341 481896 484056 496008 502848 514188 515264 526884 531441 536544 542133 544563 549792 555519 558009 565704 579672 603612 609408 615756 618516 629856 633788 636417 642528 645408 652131 661344 668233 685584 702512 708588 715392 722844 726084 733056 740692 744012 754272 771282 772896 790326 804816 821008 824688 839808 848556 856704 860544 869508 881792 905418 914112 923634 927774 944784 950682 963792 968112 992016 1005696 1028376 1030528 1053768 1062882 1073088 1084266 1089126 1099584 1111038 1116018 1131408 1156923 1159344 1185489 1207224 1231512 1237032 1259712 1267576 1272834 1285056 1290816 1304262 1322688 1336466 1358127 1371168 1385451 1391661 1405024 1417176 1426023 1445688 1452168 1481384 1488024 1508544 1542564 1545792 1580652 1594323 1609632 1626399 1633689 1642016 1649376 1666557 1674027 1697112 1739016 1810836 1828224 1847268 1855548 1889568 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610839804096 631335846672 645573446307 654475968792 670635869256 673641857016 687194779608 699793950528 702930633408 710252827506 717072813504 746687359584 754465352913 765124084512 773094127059 787268194344 806706915192 821497246272 841781128896 860764595076 872634625056 894181159008 898189142688 907545279591 916259706144 947003770008 995583146112 1005953803884 1010462785524 1020165446016 1030792169412 1049690925792 1065379241259 1075609220256 1120031039376 1147686126768 1163512833408 1180902291516 1192241545344 1197585523584 1210060372788 1221679608192 1262671693344 1291146892614 1308951937584 1341271738512 1347283714032 1374389559216 1399587901056 1405861266816 1420505655012 1434145627008 1493374719168 1508930705826 1530248169024 1546188254118 1574536388688 1613413830384 1642994492544 1683562257792 1721529190152 1745269250112 1788362318016 1796378285376 1815090559182 1832519412288 1894007540016 1936720338921 2011907607768 2020925571048 2061584338824 2099381851584 2130758482518 2151218440512 2240062078752 2263396058739 2295372253536 2319282381177 2361804583032 2420120745576 2525343386688 2582293785228 2617903875168 2682543477024 2694567428064 2722635838773 2748779118432 2841011310024 2986749438336 3017861411652 3060496338048 3092376508236 3149072777376 3226827660768 3443058380304 3490538500224 3576724636032 3592756570752 3630181118364 3665038824576 3788015080032 3873440677842 4023815215536 4041851142096 4123168677648 4198763703168 4261516965036 4302436881024 4480124157504 4526792117478 4590744507072 4638564762354 4723609166064 4840241491152 5050686773376 5164587570456 5235807750336 5365086954048 5389134856128 5445271677546 5497558236864 5682022620048 5810161016763 6035722823304 6184753016472 6298145554752 6453655321536 6790188176217 6886116760608 6957847143531 7260362236728 7576030160064 7746881355684 8047630431072 8083702284192 8167907516319 8246337355296 8523033930072 8960248315008 9053584234956 9181489014144 9277129524708 9447218332128 9680482982304 10329175140912 10471615500672 10730173908096 10778269712256 10890543355092 10995116473728 11364045240096 11620322033526 12071445646608 12369506032944 12596291109504 12907310643072 13580376352434 13772233521216 13915694287062 14520724473456 15152060320128 15493762711368 16095260862144 16167404568384 16335815032638 16492674710592 17046067860144 18107168469912 18554259049416 18894436664256 19360965964608 20658350281824 20873541430593 21781086710184 22728090480192 23240644067052 24142891293216 24503722548957 24739012065888 27160752704868 27544467042432 27831388574124 29041448946912 30987525422736 32190521724288 32334809136768 32671630065276 32985349421184 34092135720288 36214336939824 37108518098832 37788873328512 38721931929216 41316700563648 41747082861186 43562173420368 45456180960384 46481288134104 48285782586432 49007445097914 49478024131776 54321505409736 55662777148248 58082897893824 61975050845472 62620624291779 65343260130552 68184271440576 72428673879648 74217036197664 82633401127296 83494165722372 87124346840736 92962576268208 96571565172864 98014890195828 98956048263552 108643010819472 111325554296496 116165795787648 123950101690944 125241248583558 130686520261104 136368542881152 144857347759296 148434072395328 166988331444744 174248693681472 185925152536416 187861872875337 196029780391656 217286021638944 222651108592992 247900203381888 250482497167116 261373040522208 289714695518592 296868144790656 333976662889488 348497387362944 371850305072832 375723745750674 392059560783312 434572043277888 445302217185984 500964994334232 522746081044416 563585618626011 667953325778976 743700610145664 751447491501348 784119121566624 869144086555776 890604434371968 1001929988668464 1045492162088832 1127171237252022 1335906651557952 1502894983002696 1568238243133248 2003859977336928 2254342474504044 2671813303115904 3005789966005392 3136476486266496 4007719954673856 4508684949008088 6011579932010784 8015439909347712 9017369898016176 12023159864021568 18034739796032352 24046319728043136 36069479592064704 72138959184129408
- Sum of all divisors σ(n): 230450965636736040
- Sum of proper divisors (its aliquot sum) s(n): 158312006452606632
- 72138959184129408 is an abundant number, because the sum of its proper divisors (158312006452606632) is greater than itself. Its abundance is 86173047268477224
Bases of 72138959184129408
- Binary: 1000000000100101000000000010011001010001011101101100000002
- Hexadecimal: 0x1004A004CA2ED80
- Base-36: JQB4KCDI000
Squares and roots of 72138959184129408
- 72138959184129408 squared (721389591841294082) is 5204029432169488662716182890430464
- 72138959184129408 cubed (721389591841294083) is 375413266800282882250591649297907162481666201485312
-
The
square root of 72138959184129408 is 268586967.6364238787 -
The
cube root of 72138959184129408 is 416284.2284972131
Scales and comparisons
How big is 72138959184129408?- 72,138,959,184,129,408 seconds is equal to 2,293,795,761 years, 31 weeks, 2 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 72,138,959,184,129,408 would take you about six billion, eight hundred eighty-one million, three hundred eighty-seven thousand, two hundred eighty-four 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 72138959184129408 cubic inches would be around 34690.4 feet tall.
Recreational maths with 72138959184129408
- 72138959184129408 backwards is 80492148195983127
- 72138959184129408 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 72138959184129408's digits is 81
- More coming soon!
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The information we have on file for 72138959184129408 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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