137253809946624
137,253,809,946,624 is an even composite number composed of five prime numbers multiplied together.
What does the number 137253809946624 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
137253809946624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137253809946624:
217 × 3 × 72 × 172 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 17 × 157 × 157)See below for interesting mathematical facts about the number 137253809946624 from the Numbermatics database.
Names of 137253809946624
- Cardinal: 137253809946624 can be written as One hundred thirty-seven trillion, two hundred fifty-three billion, eight hundred nine million, nine hundred forty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.37253809946624 × 1014
Factors of 137253809946624
Divisors of 137253809946624
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 64 68 84 96 98 102 112 119 128 136 147 157 168 192 196 204 224 238 256 272 289 294 314 336 357 384 392 408 448 471 476 512 544 578 588 628 672 714 768 784 816 833 867 896 942 952 1024 1088 1099 1156 1176 1256 1344 1428 1536 1568 1632 1666 1734 1792 1884 1904 2023 2048 2176 2198 2312 2352 2499 2512 2669 2688 2856 3072 3136 3264 3297 3332 3468 3584 3768 3808 4046 4096 4352 4396 4624 4704 4998 5024 5338 5376 5712 6069 6144 6272 6528 6594 6664 6936 7168 7536 7616 7693 8007 8092 8192 8704 8792 9248 9408 9996 10048 10676 10752 11424 12138 12288 12544 13056 13188 13328 13872 14161 14336 15072 15232 15386 16014 16184 16384 17408 17584 18496 18683 18816 19992 20096 21352 21504 22848 23079 24276 24576 24649 25088 26112 26376 26656 27744 28322 28672 30144 30464 30772 32028 32368 32768 34816 35168 36992 37366 37632 39984 40192 42483 42704 43008 45373 45696 46158 48552 49152 49298 50176 52224 52752 53312 55488 56049 56644 57344 60288 60928 61544 64056 64736 65536 69632 70336 73947 73984 74732 75264 79968 80384 84966 85408 86016 90746 91392 92316 97104 98304 98596 100352 104448 105504 106624 110976 112098 113288 114688 120576 121856 123088 128112 129472 130781 131072 136119 139264 140672 147894 147968 149464 150528 159936 160768 169932 170816 172032 172543 181492 182784 184632 194208 196608 197192 200704 208896 211008 213248 221952 224196 226576 229376 241152 243712 246176 256224 258944 261562 272238 278528 281344 295788 295936 298928 301056 317611 319872 321536 339864 341632 344064 345086 362984 365568 369264 388416 392343 393216 394384 401408 417792 419033 422016 426496 443904 448392 453152 458752 482304 487424 492352 512448 517629 517888 523124 544476 557056 562688 591576 591872 597856 602112 635222 639744 643072 679728 683264 688128 690172 725968 731136 738528 776832 784686 788768 802816 835584 838066 844032 852992 887808 896784 906304 917504 952833 964608 974848 984704 1024896 1035258 1035776 1046248 1088952 1114112 1125376 1183152 1183744 1195712 1204224 1207801 1257099 1270444 1279488 1286144 1359456 1366528 1376256 1380344 1451936 1462272 1477056 1553664 1569372 1577536 1605632 1671168 1676132 1688064 1705984 1775616 1793568 1812608 1905666 1929216 1949696 1969408 2049792 2070516 2071552 2092496 2177904 2223277 2228224 2250752 2366304 2367488 2391424 2408448 2415602 2514198 2540888 2558976 2572288 2718912 2733056 2752512 2760688 2903872 2924544 2933231 2954112 3107328 3138744 3155072 3211264 3342336 3352264 3376128 3411968 3551232 3587136 3623403 3625216 3811332 3858432 3899392 3938816 4099584 4141032 4143104 4184992 4355808 4446554 4501504 4732608 4734976 4782848 4816896 4831204 5028396 5081776 5117952 5144576 5437824 5466112 5521376 5807744 5849088 5866462 5908224 6214656 6277488 6310144 6422528 6669831 6684672 6704528 6752256 6823936 7102464 7123561 7174272 7246806 7250432 7622664 7716864 7798784 7877632 8199168 8282064 8286208 8369984 8711616 8799693 8893108 9003008 9465216 9469952 9565696 9633792 9662408 10056792 10163552 10235904 10289152 10875648 10932224 11042752 11615488 11698176 11732924 11816448 12429312 12554976 12620288 13339662 13409056 13504512 13647872 14204928 14247122 14348544 14493612 14500864 15245328 15433728 15597568 15755264 16398336 16564128 16572416 16739968 17423232 17599386 17786216 18006016 18930432 18939904 19131392 19267584 19324816 20113584 20327104 20471808 20532617 20578304 21370683 21751296 21864448 22085504 23230976 23396352 23465848 23632896 24858624 25109952 25240576 26679324 26818112 27009024 27295744 28409856 28494244 28697088 28987224 29001728 30490656 30867456 31510528 32796672 33128256 33144832 33479936 34846464 35198772 35572432 36012032 37860864 37879808 38262784 38649632 40227168 40654208 40943616 41065234 42741366 43502592 43728896 44171008 46461952 46792704 46931696 47265792 49717248 49864927 50219904 50481152 53358648 53636224 54018048 54591488 56819712 56988488 57394176 57974448 58003456 60981312 61597851 61734912 63021056 65593344 66256512 66289664 66959872 69692928 70397544 71144864 72024064 75721728 76525568 77299264 80454336 81308416 81887232 82130468 85482732 87005184 87457792 88342016 92923904 93863392 94531584 99434496 99729854 100439808 100962304 106717296 107272448 108036096 109182976 113639424 113976976 114788352 115948896 116006912 121962624 123195702 126042112 131186688 132513024 132579328 133919744 139385856 140795088 142289728 144048128 149594781 151443456 153051136 154598528 160908672 162616832 163774464 164260936 170965464 174010368 174915584 176684032 185847808 187726784 189063168 198868992 199459708 200879616 201924608 213434592 214544896 216072192 227953952 229576704 231897792 232013824 243925248 246391404 252084224 262373376 265026048 265158656 267839488 278771712 281590176 284579456 299189562 302886912 306102272 309197056 321817344 325233664 327548928 328521872 341930928 348020736 349054489 349831168 353368064 371695616 375453568 378126336 397737984 398919416 401759232 403849216 426869184 429089792 432144384 455907904 459153408 463795584 464027648 487850496 492782808 504168448 524746752 530052096 535678976 557543424 563180352 569158912 598379124 605773824 612204544 618394112 643634688 650467328 657043744 683861856 696041472 698108978 706736128 743391232 750907136 756252672 795475968 797838832 803518464 807698432 853738368 858179584 911815808 918306816 927591168 928055296 975700992 985565616 1008336896 1047163467 1049493504 1060104192 1071357952 1115086848 1126360704 1138317824 1196758248 1211547648 1224409088 1236788224 1287269376 1300934656 1314087488 1367723712 1392082944 1396217956 1413472256 1486782464 1501814272 1512505344 1595677664 1607036928 1615396864 1707476736 1716359168 1823631616 1836613632 1855182336 1856110592 1951401984 1971131232 2094326934 2120208384 2142715904 2230173696 2252721408 2276635648 2393516496 2423095296 2448818176 2473576448 2574538752 2601869312 2628174976 2735447424 2784165888 2792435912 2826944512 2973564928 3003628544 3025010688 3191355328 3214073856 3230793728 3414953472 3432718336 3647263232 3673227264 3710364672 3902803968 3942262464 4188653868 4240416768 4285431808 4460347392 4505442816 4553271296 4787032992 4846190592 4947152896 5149077504 5203738624 5256349952 5470894848 5568331776 5584871824 5653889024 5947129856 6007257088 6382710656 6428147712 6829906944 6865436672 7294526464 7346454528 7420729344 7805607936 7884524928 8377307736 8480833536 8570863616 8920694784 9010885632 9106542592 9574065984 9692381184 9894305792 10298155008 10407477248 10512699904 10941789696 11169743648 11307778048 12014514176 12765421312 12856295424 13659813888 13730873344 14589052928 14841458688 15611215872 15769049856 16754615472 16961667072 17141727232 17841389568 18021771264 18213085184 19148131968 19788611584 20596310016 20814954496 21025399808 21883579392 22339487296 22615556096 24029028352 25530842624 25712590848 27319627776 27461746688 29178105856 29682917376 31222431744 31538099712 33509230944 33923334144 36043542528 36426170368 38296263936 39577223168 41192620032 41629908992 42050799616 43767158784 44678974592 48058056704 51061685248 51425181696 54639255552 54923493376 58356211712 59365834752 62444863488 63076199424 67018461888 67846668288 72087085056 72852340736 76592527872 79154446336 82385240064 84101599232 87534317568 89357949184 96116113408 102123370496 109278511104 116712423424 118731669504 124889726976 126152398848 134036923776 144174170112 145704681472 153185055744 158308892672 164770480128 168203198464 175068635136 178715898368 192232226816 204246740992 218557022208 233424846848 237463339008 252304797696 268073847552 288348340224 291409362944 306370111488 336406396928 350137270272 357431796736 384464453632 408493481984 437114044416 466849693696 474926678016 504609595392 536147695104 576696680448 612740222976 672812793856 700274540544 714863593472 816986963968 874228088832 933699387392 1009219190784 1072295390208 1153393360896 1225480445952 1345625587712 1400549081088 1429727186944 1633973927936 2018438381568 2144590780416 2450960891904 2691251175424 2801098162176 2859454373888 3267947855872 4036876763136 4289181560832 4901921783808 5718908747776 6535895711744 8073753526272 8578363121664 9803843567616 11437817495552 17156726243328 19607687135232 22875634991104 34313452486656 45751269982208 68626904973312 137253809946624
- Sum of all divisors σ(n): 455182686144396
- Sum of proper divisors (its aliquot sum) s(n): 317928876197772
- 137253809946624 is an abundant number, because the sum of its proper divisors (317928876197772) is greater than itself. Its abundance is 180675066251148
Bases of 137253809946624
- Binary: 111110011010100111001001001011000000000000000002
- Hexadecimal: 0x7CD4E4960000
- Base-36: 1CNHJ2NJEO
Squares and roots of 137253809946624
- 137253809946624 squared (1372538099466242) is 18838608344863981277728997376
- 137253809946624 cubed (1372538099466243) is 2585670769424845803121513172655939596058624
-
The
square root of 137253809946624 is 11715537.1172910379 -
The
cube root of 137253809946624 is 51583.1828730621
Scales and comparisons
How big is 137253809946624?- 137,253,809,946,624 seconds is equal to 4,364,246 years, 31 weeks, 2 days, 6 hours, 30 minutes, 24 seconds.
-
To count from 1 to 137,253,809,946,624 would take you about ten million, nine hundred ten thousand, six hundred sixteen 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 137253809946624 cubic inches would be around 4298.6 feet tall.
Recreational maths with 137253809946624
- 137253809946624 backwards is 426649908352731
- The number of decimal digits it has is: 15
- The sum of 137253809946624's digits is 69
- More coming soon!
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The information we have on file for 137253809946624 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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