72648532328064
72,648,532,328,064 is an even composite number composed of six prime numbers multiplied together.
72648532328064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 72648532328064:
27 × 3 × 76 × 11 × 29 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 29 × 71 × 71)See below for interesting mathematical facts about the number 72648532328064 from the Numbermatics database.
Names of 72648532328064
- Cardinal: 72648532328064 can be written as Seventy-two trillion, six hundred forty-eight billion, five hundred thirty-two million, three hundred twenty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 7.2648532328064 × 1013
Factors of 72648532328064
Divisors of 72648532328064
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 49 56 58 64 66 71 77 84 87 88 96 98 112 116 128 132 142 147 154 168 174 176 192 196 203 213 224 231 232 264 284 294 308 319 336 343 348 352 384 392 406 426 448 462 464 497 528 539 568 588 609 616 638 672 686 696 704 781 784 812 852 896 924 928 957 994 1029 1056 1078 1136 1176 1218 1232 1276 1344 1372 1392 1408 1421 1491 1562 1568 1617 1624 1704 1848 1856 1914 1988 2058 2059 2112 2156 2233 2272 2343 2352 2401 2436 2464 2552 2688 2744 2784 2842 2982 3124 3136 3234 3248 3408 3479 3696 3712 3773 3828 3976 4116 4118 4224 4263 4312 4466 4544 4686 4704 4802 4872 4928 5041 5104 5467 5488 5568 5684 5964 6177 6248 6272 6468 6496 6699 6816 6958 7203 7392 7546 7656 7952 8232 8236 8526 8624 8932 9088 9372 9408 9604 9744 9856 9947 10082 10208 10437 10934 10976 11136 11319 11368 11928 12354 12496 12936 12992 13398 13632 13916 14406 14413 14784 15092 15123 15312 15631 15904 16401 16464 16472 16807 17052 17248 17864 18744 18816 19208 19488 19894 20164 20416 20874 21868 21952 22638 22649 22736 23856 24353 24708 24992 25872 25984 26411 26796 27264 27832 28812 28826 29568 29841 30184 30246 30624 31262 31808 32802 32928 32944 33614 34104 34496 35287 35728 37488 38269 38416 38976 39788 40328 40832 41748 43239 43736 43904 45276 45298 45472 46893 47712 48706 49416 49984 50421 51744 52822 53592 55451 55664 57624 57652 59682 60368 60492 61248 62524 63616 65604 65856 65888 67228 67947 68208 68992 69629 70574 71456 73059 74976 76538 76832 77952 79233 79576 80656 83496 86478 87472 90552 90596 90944 93786 95424 97412 98832 99968 100842 100891 103488 105644 105861 107184 109417 110902 111328 114807 115248 115304 117649 119364 120736 120984 122496 125048 131208 131712 131776 134456 135894 136416 139258 141148 142912 146118 146189 149952 153076 153664 158466 158543 159152 161312 166353 166992 170471 172956 174944 181104 181192 181888 184877 187572 190848 194824 197664 201684 201782 206976 208887 211288 211722 214368 218834 221804 222656 229614 230496 230608 235298 238728 241472 241968 247009 250096 262416 263552 267883 268912 271788 272832 278516 282296 285824 292236 292378 299904 302673 306152 307328 316932 317086 318304 322624 328251 332706 333984 340942 345912 349888 352947 362208 362384 369754 375144 388157 389648 395328 403368 403564 417774 422576 423444 428736 437668 438567 443608 445312 459228 460992 461216 470596 475629 477456 482944 483936 487403 494018 500192 511413 524832 535766 537824 543576 545664 554631 557032 564592 584472 584756 605346 612304 633864 634172 636608 645248 656502 665412 667968 681884 691824 699776 705894 706237 724416 724768 739508 741027 750288 765919 776314 779296 790656 803649 806736 807128 835548 845152 846888 857472 875336 877134 887216 918456 921984 922432 941192 951258 954912 967872 974806 988036 1000384 1022826 1023323 1049664 1071532 1075648 1087152 1109262 1109801 1114064 1129184 1164471 1168944 1169512 1193297 1210692 1224608 1267728 1268344 1273216 1294139 1313004 1330824 1335936 1363768 1383648 1411788 1412474 1448832 1449536 1462209 1479016 1482054 1500576 1531838 1552628 1558592 1607298 1608079 1613472 1614256 1671096 1690304 1693776 1729063 1750672 1754268 1774432 1836912 1844864 1875181 1882384 1902516 1909824 1935744 1949612 1976072 2000768 2045652 2046646 2099328 2118711 2143064 2151296 2174304 2218524 2219602 2228128 2258368 2297757 2328942 2337888 2339024 2386594 2421384 2449216 2535456 2536688 2588278 2626008 2661648 2717099 2727536 2767296 2823576 2824948 2899072 2924418 2958032 2964108 3001152 3063676 3069969 3105256 3117184 3214596 3216158 3226944 3228512 3329403 3342192 3380608 3387552 3411821 3458126 3501344 3508536 3548864 3579891 3673824 3750362 3764768 3805032 3819648 3882417 3899224 3952144 4091304 4093292 4237422 4286128 4348608 4437048 4439204 4456256 4516736 4595514 4657884 4675776 4678048 4773188 4824237 4842768 4898432 4943659 5070912 5073376 5176556 5187189 5252016 5323296 5361433 5434198 5455072 5534592 5625543 5647152 5649896 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6418281856 6523754699 6618853164 6644277696 6960671872 7116823308 7205765952 7303562112 7370995569 7455719656 7564403616 7721995358 7751657312 7993896603 8133512352 8423994936 8520822464 8820851424 8825137552 9135881832 9489097744 9627422784 9827994092 10085871488 10441007808 10658528804 10844683136 11183579484 11231993248 11582993037 11627485968 11761135232 12181175776 12781233696 13047509398 13237706328 13288555392 14233646616 14411531904 14741991138 14911439312 15128807232 15443990716 15503314624 15987793206 16267024704 16847989872 17041644928 17198989661 17641702848 17650275104 18271763664 18978195488 19254845568 19571264097 19655988184 20882015616 21317057608 22367158968 22463986496 23165986074 23254971936 24362351552 25562467392 26095018796 26475412656 27026983753 28467293232 29483982276 29822878624 30257614464 30887981432 31006629248 31975586412 32534049408 33695979744 34397979322 35283405696 35300550208 36543527328 37956390976 39142528194 39311976368 42634115216 44734317936 44927972992 46331972148 46509943872 48724703104 51124934784 51596968983 52190037592 52950825312 54053967506 56934586464 58967964552 59645757248 61775962864 63951172824 67391959488 68795958644 70601100416 73087054656 75912781952 78285056388 78623952736 81080951259 85268230432 89468635872 92663944296 93019887744 103193937966 104380075184 105901650624 108107935012 113869172928 117935929104 119291514496 123551925728 127902345648 134783918976 137591917288 146174109312 156570112776 157247905472 162161902518 170536460864 178937271744 185327888592 189188886271 206387875932 208760150368 211803301248 216215870024 227738345856 235871858208 247103851456 255804691296 275183834576 313140225552 314495810944 324323805036 341072921728 357874543488 370655777184 378377772542 412775751864 417520300736 432431740048 471743716416 494207702912 511609382592 550367669152 567566658813 626280451104 648647610072 741311554368 756755545084 825551503728 835040601472 864863480096 943487432832 1023218765184 1100735338304 1135133317626 1252560902208 1297295220144 1482623108736 1513511090168 1651103007456 1729726960192 2201470676608 2270266635252 2505121804416 2594590440288 3027022180336 3302206014912 3459453920384 4540533270504 5189180880576 6054044360672 6604412029824 9081066541008 10378361761152 12108088721344 18162133082016 24216177442688 36324266164032 72648532328064
- Sum of all divisors σ(n): 257699139055200
- Sum of proper divisors (its aliquot sum) s(n): 185050606727136
- 72648532328064 is an abundant number, because the sum of its proper divisors (185050606727136) is greater than itself. Its abundance is 112402074399072
Bases of 72648532328064
- Binary: 100001000010010110011011111011001111110100000002
- Hexadecimal: 0x4212CDF67E80
- Base-36: PR29WF2IO
Squares and roots of 72648532328064
- 72648532328064 squared (726485323280642) is 5277809249421760111721988096
- 72648532328064 cubed (726485323280643) is 383425095877971934575058736587837374726144
-
The
square root of 72648532328064 is 8523410.8388639813 -
The
cube root of 72648532328064 is 41726.2108519919
Scales and comparisons
How big is 72648532328064?- 72,648,532,328,064 seconds is equal to 2,309,998 years, 31 weeks, 5 days, 12 hours, 54 minutes, 24 seconds.
-
To count from 1 to 72,648,532,328,064 would take you about five million, seven hundred seventy-four thousand, nine hundred ninety-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 72648532328064 cubic inches would be around 3477.2 feet tall.
Recreational maths with 72648532328064
- 72648532328064 backwards is 46082323584627
- The number of decimal digits it has is: 14
- The sum of 72648532328064's digits is 60
- More coming soon!
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The information we have on file for 72648532328064 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!
Keywords: Divisors of 72648532328064, math, Factors of 72648532328064, curriculum, school, college, exams, university, Prime factorization of 72648532328064, STEM, science, technology, engineering, physics, economics, calculator, seventy-two trillion, six hundred forty-eight billion, five hundred thirty-two million, three hundred twenty-eight thousand and sixty-four.