72135308836864
72,135,308,836,864 is an even composite number composed of six prime numbers multiplied together.
What does the number 72135308836864 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1024 divisors.
72135308836864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 72135308836864:
215 × 73 × 13 × 17 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 17 × 113 × 257)See below for interesting mathematical facts about the number 72135308836864 from the Numbermatics database.
Names of 72135308836864
- Cardinal: 72135308836864 can be written as Seventy-two trillion, one hundred thirty-five billion, three hundred eight million, eight hundred thirty-six thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 7.2135308836864 × 1013
Factors of 72135308836864
Divisors of 72135308836864
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 64 68 91 98 104 112 113 119 128 136 182 196 208 221 224 226 238 256 257 272 343 364 392 416 442 448 452 476 512 514 544 637 686 728 784 791 832 833 884 896 904 952 1024 1028 1088 1274 1372 1456 1469 1547 1568 1582 1664 1666 1768 1792 1799 1808 1904 1921 2048 2056 2176 2548 2744 2912 2938 3094 3136 3164 3328 3332 3341 3536 3584 3598 3616 3808 3842 4096 4112 4352 4369 4459 5096 5488 5537 5824 5831 5876 6188 6272 6328 6656 6664 6682 7072 7168 7196 7232 7616 7684 8192 8224 8704 8738 8918 10192 10283 10829 10976 11074 11648 11662 11752 12376 12544 12593 12656 13312 13328 13364 13447 14144 14336 14392 14464 15232 15368 16384 16448 17408 17476 17836 20384 20566 21658 21952 22148 23296 23324 23387 23504 24752 24973 25088 25186 25312 26624 26656 26728 26894 28288 28672 28784 28928 29041 30464 30583 30736 32768 32896 34816 34952 35672 38759 40768 41132 43316 43904 44296 46592 46648 46774 47008 49504 49946 50176 50372 50624 53248 53312 53456 53788 56576 56797 57344 57568 57856 58082 60928 61166 61472 65792 69632 69904 71344 71981 75803 77518 81536 82264 86632 87808 88151 88592 93184 93296 93548 94016 94129 99008 99892 100352 100744 101248 106496 106624 106912 107576 113152 113594 114688 115136 115712 116164 121856 122332 122944 131584 139264 139808 142688 143962 151606 155036 163072 163709 164528 173264 174811 175616 176302 177184 186368 186592 187096 188032 188258 198016 199784 200704 201488 202496 203287 212992 213248 213824 214081 215152 226304 227188 229376 230272 231424 232328 243712 244664 245888 263168 278528 279616 285376 287924 303212 310072 326144 327418 329056 346528 349622 351232 352604 354368 372736 373184 374192 376064 376516 377533 396032 397579 399568 401408 402976 404992 406574 425984 426496 427648 428162 430304 452608 454376 460544 462848 464656 487424 489328 491776 493697 503867 526336 557056 559232 570752 575848 606424 620144 652288 654836 658112 658903 693056 699244 702464 705208 708736 745472 746368 748384 752128 753032 755066 792064 795158 799136 802816 805952 809984 813148 852992 855296 856324 860608 905216 908752 921088 925696 929312 974848 978656 983552 987394 1007734 1052672 1118464 1141504 1145963 1151696 1212848 1223677 1240288 1304576 1309672 1316224 1317806 1386112 1398488 1404928 1410416 1417472 1423009 1490944 1492736 1496768 1498567 1504256 1506064 1510132 1584128 1590316 1598272 1605632 1611904 1619968 1626296 1705984 1710592 1712648 1721216 1810432 1817504 1842176 1851392 1858624 1949696 1957312 1967104 1974788 2015468 2105344 2236928 2283008 2291926 2303392 2425696 2447354 2480576 2609152 2619344 2632448 2635612 2642731 2772224 2783053 2796976 2809856 2820832 2834944 2846018 2981888 2985472 2993536 2997134 3008512 3012128 3020264 3168256 3180632 3196544 3223808 3239936 3252592 3411968 3421184 3425296 3442432 3455879 3620864 3635008 3684352 3702784 3717248 3899392 3914624 3934208 3949576 4030936 4210688 4473856 4566016 4583852 4606784 4851392 4894708 4961152 5218304 5238688 5264896 5271224 5285462 5544448 5566106 5593952 5619712 5641664 5669888 5692036 5970944 5987072 5994268 6017024 6024256 6040528 6336512 6361264 6393088 6418061 6447616 6479872 6505184 6823936 6842368 6850592 6884864 6911758 7241728 7270016 7368704 7434496 7829248 7868416 7899152 8061872 8421376 8565739 8947712 9132032 9167704 9213568 9702784 9789416 9922304 9961063 10436608 10477376 10529792 10542448 10570924 11088896 11132212 11187904 11239424 11283328 11339776 11384072 11941888 11974144 11988536 12034048 12048512 12081056 12673024 12722528 12786176 12836122 12895232 12959744 13010368 13647872 13684736 13701184 13769728 13823516 14540032 14737408 14868992 15658496 15736832 15798304 16123744 17131478 17895424 18264064 18335408 18427136 18499117 19405568 19481371 19578832 19844608 19922126 20873216 20954752 21059584 21084896 21141848 22177792 22264424 22375808 22566656 22679552 22768144 23883776 23948288 23977072 24068096 24097024 24162112 24191153 25346048 25445056 25572352 25672244 25790464 25919488 26020736 27295744 27369472 27402368 27539456 27647032 29080064 29474816 29737984 31316992 31473664 31596608 32247488 34262956 35790848 36528128 36670816 36854272 36998234 38811136 38962742 39157664 39689216 39844252 41909504 42119168 42169792 42283696 44355584 44528848 44751616 44926427 45133312 45359104 45536288 47767552 47896576 47954144 48136192 48194048 48324224 48382306 50692096 50890112 51144704 51344488 51580928 52041472 54738944 54804736 55078912 55294064 58160128 58949632 59475968 62633984 62947328 63193216 64494976 68525912 71581696 73056256 73341632 73708544 73996468 77622272 77925484 78315328 79378432 79688504 83819008 84238336 84339584 84567392 88711168 89057696 89503232 89852854 90266624 90718208 91072576 95535104 95793152 95908288 96388096 96648448 96764612 101780224 102289408 102688976 103161856 104082944 109477888 109609472 110157824 110588128 116320256 118951936 125267968 126386432 128989952 129493819 137051824 143163392 146112512 146683264 147417088 147992936 155244544 155850968 156630656 158756864 159377008 167638016 168476672 168679168 169134784 169338071 177422336 178115392 179006464 179705708 180533248 181436416 182145152 191070208 191586304 191816576 192776192 193296896 193529224 203560448 204578816 205377952 206323712 208165888 219218944 220315648 221176256 232640512 237903872 250535936 252772864 257979904 258987638 274103648 293366528 294834176 295985872 310489088 311701936 313261312 314484989 317513728 318754016 335276032 336953344 337358336 338269568 338676142 354844672 356230784 358012928 359411416 361066496 364290304 383172608 383633152 385552384 386593792 387058448 407120896 409157632 410755904 412647424 416331776 438437888 440631296 442352512 465281024 475807744 501071872 505545728 515959808 517975276 548207296 586733056 589668352 591971744 620978176 623403872 626522624 628969978 635027456 637508032 670552064 674716672 676539136 677352284 712461568 716025856 718822832 722132992 728580608 766345216 767266304 771104768 773187584 774116896 814241792 818315264 821511808 832663552 876875776 884705024 930562048 951615488 1002143744 1011091456 1031919616 1035950552 1096414592 1173466112 1179336704 1183943488 1241956352 1246807744 1253045248 1257939956 1270054912 1275016064 1341104128 1349433344 1353078272 1354704568 1424923136 1432051712 1437645664 1444265984 1457161216 1534532608 1542209536 1546375168 1548233792 1628483584 1643023616 1665327104 1753751552 1769410048 1861124096 2022182912 2063839232 2071901104 2192829184 2201394923 2346932224 2358673408 2367886976 2483912704 2493615488 2506090496 2515879912 2550032128 2682208256 2698866688 2706156544 2709409136 2849846272 2864103424 2875291328 2888531968 2914322432 3069065216 3084419072 3092750336 3096467584 3256967168 3286047232 3330654208 3507503104 3538820096 4044365824 4127678464 4143802208 4385658368 4402789846 4693864448 4735773952 4987230976 5012180992 5031759824 5100064256 5364416512 5397733376 5412313088 5418818272 5699692544 5728206848 5750582656 5828644864 6138130432 6185500672 6192935168 6513934336 6572094464 6661308416 7015006208 7077640192 8088731648 8255356928 8287604416 8771316736 8805579692 9387728896 9471547904 9974461952 10024361984 10063519648 10200128512 10795466752 10824626176 10837636544 11399385088 11501165312 11657289728 12276260864 12371001344 12385870336 13027868672 13144188928 14155280384 16177463296 16510713856 16575208832 17542633472 17611159384 18775457792 18943095808 19948923904 20048723968 20127039296 20400257024 21590933504 21649252352 21675273088 22798770176 23002330624 23314579456 24552521728 24771740672 26288377856 28310560768 33150417664 35085266944 35222318768 37550915584 37886191616 39897847808 40097447936 40254078592 40800514048 43298504704 43350546176 45597540352 46004661248 46629158912 49105043456 49543481344 52576755712 56621121536 66300835328 70170533888 70444637536 75772383232 79795695616 80508157184 81601028096 86597009408 86701092352 91195080704 92009322496 99086962688 105153511424 113242243072 132601670656 140341067776 140889275072 151544766464 159591391232 161016314368 163202056192 173402184704 184018644992 198173925376 210307022848 265203341312 280682135552 281778550144 303089532928 319182782464 322032628736 326404112384 346804369408 368037289984 396347850752 530406682624 563557100288 606179065856 638365564928 644065257472 693608738816 736074579968 792695701504 1060813365248 1127114200576 1288130514944 1387217477632 1472149159936 2121626730496 2254228401152 2576261029888 2774434955264 4243253460992 4508456802304 5152522059776 5548869910528 9016913604608 10305044119552 18033827209216 36067654418432 72135308836864
- Sum of all divisors σ(n): 194293554336000
- Sum of proper divisors (its aliquot sum) s(n): 122158245499136
- 72135308836864 is an abundant number, because the sum of its proper divisors (122158245499136) is greater than itself. Its abundance is 50022936662272
Bases of 72135308836864
- Binary: 100000110011011010011110111010110000000000000002
- Hexadecimal: 0x419B4F758000
- Base-36: PKII4EI9S
Squares and roots of 72135308836864
- 72135308836864 squared (721353088368642) is 5203502780989749488565354496
- 72135308836864 cubed (721353088368643) is 375356280140176275510710040696901592940544
-
The
square root of 72135308836864 is 8493250.7814654807 -
The
cube root of 72135308836864 is 41627.7206828459
Scales and comparisons
How big is 72135308836864?- 72,135,308,836,864 seconds is equal to 2,293,679 years, 35 weeks, 6 days, 20 hours, 1 minute, 4 seconds.
-
To count from 1 to 72,135,308,836,864 would take you about five million, seven hundred thirty-four thousand, one hundred ninety-nine 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 72135308836864 cubic inches would be around 3469 feet tall.
Recreational maths with 72135308836864
- 72135308836864 backwards is 46863880353127
- 72135308836864 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72135308836864's digits is 64
- More coming soon!
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The information we have on file for 72135308836864 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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