137213041917952
137,213,041,917,952 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137213041917952 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
137213041917952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137213041917952:
214 × 7 × 11 × 13 × 137 × 173 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 137 × 173 × 353)See below for interesting mathematical facts about the number 137213041917952 from the Numbermatics database.
Names of 137213041917952
- Cardinal: 137213041917952 can be written as One hundred thirty-seven trillion, two hundred thirteen billion, forty-one million, nine hundred seventeen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.37213041917952 × 1014
Factors of 137213041917952
Divisors of 137213041917952
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 137 143 154 173 176 182 208 224 256 274 286 308 346 352 353 364 416 448 512 548 572 616 692 704 706 728 832 896 959 1001 1024 1096 1144 1211 1232 1384 1408 1412 1456 1507 1664 1781 1792 1903 1918 2002 2048 2192 2249 2288 2422 2464 2471 2768 2816 2824 2912 3014 3328 3562 3584 3806 3836 3883 4004 4096 4384 4498 4576 4589 4844 4928 4942 5536 5632 5648 5824 6028 6656 7124 7168 7612 7672 7766 8008 8192 8768 8996 9152 9178 9688 9856 9884 10549 11072 11264 11296 11648 12056 12467 13312 13321 14248 14336 15224 15344 15532 15743 16016 16384 17536 17992 18304 18356 19376 19591 19712 19768 21098 22144 22528 22592 23296 23701 24112 24739 24934 26624 26642 27181 28496 28672 30448 30688 31064 31486 32032 32123 35072 35984 36608 36712 38752 39182 39424 39536 42196 44288 45056 45184 46592 47402 48224 48361 49478 49868 50479 53248 53284 54362 56992 57344 60896 61069 61376 62128 62972 64064 64246 70144 71968 73216 73424 77504 78364 78848 79072 84392 88576 90112 90368 93184 94804 96448 96722 98956 99736 100958 106496 106568 108724 113984 114688 121792 122138 122752 124256 125944 128128 128492 137137 140288 143936 146432 146848 155008 156728 157696 158144 165907 168784 173173 177152 180224 180736 186368 189608 192896 193444 197912 199472 201916 212992 213136 217448 227968 243584 244276 245504 248512 251888 256256 256984 260711 274274 280576 287872 292864 293696 308113 310016 313456 315392 316288 331814 337568 338527 346346 353353 354304 361472 372736 379216 385792 386888 395824 398944 403832 426272 427483 434896 455936 487168 488552 491008 497024 503776 512512 513968 521422 531971 548548 561152 575744 585728 587392 616226 620032 626912 628693 630784 632576 663628 671759 675136 677054 692692 706706 708608 722944 745472 758432 771584 773776 791648 793897 797888 807664 852544 854966 869792 911872 974336 977104 982016 994048 1007552 1025024 1027936 1042844 1063942 1097096 1122304 1151488 1171456 1174784 1232452 1240064 1253824 1257386 1261568 1265152 1327256 1343518 1350272 1354108 1385384 1413412 1417216 1445888 1490944 1516864 1543168 1547552 1583296 1587794 1595776 1615328 1705088 1709932 1739584 1823744 1824977 1948672 1954208 1964032 1988096 2015104 2050048 2055872 2085688 2127884 2156791 2194192 2244608 2302976 2342912 2349568 2464904 2480128 2507648 2514772 2530304 2654512 2687036 2700544 2708216 2770768 2826824 2834432 2891776 3033728 3086336 3095104 3166592 3175588 3191552 3230656 3389243 3410176 3419864 3479168 3647488 3649954 3723797 3897344 3908416 3928064 3976192 4030208 4100096 4111744 4171376 4255768 4313582 4388384 4400851 4605952 4699136 4702313 4929808 4960256 5015296 5029544 5060608 5309024 5374072 5401088 5416432 5541536 5557279 5653648 5783552 6067456 6172672 6190208 6333184 6351176 6383104 6461312 6778486 6820352 6839728 6915623 6958336 7294976 7299908 7447594 7794688 7816832 7856128 7952384 8060416 8200192 8223488 8342752 8366453 8511536 8627164 8732867 8776768 8801702 9211904 9398272 9404626 9859616 9920512 10030592 10059088 10121216 10618048 10748144 10802176 10832864 11083072 11114558 11307296 12134912 12345344 12380416 12666368 12702352 12766208 12922624 13556972 13640704 13679456 13831246 13916672 14589952 14599816 14895188 15589376 15633664 15712256 15904768 16120832 16400384 16446976 16685504 16732906 17023072 17254328 17465734 17553536 17603404 18423808 18796544 18809252 19719232 19841024 20061184 20118176 20242432 21236096 21496288 21604352 21665728 22166144 22229116 22614592 23724701 24269824 24690688 24760832 25332736 25404704 25532416 25845248 27113944 27281408 27358912 27662492 27833344 29179904 29199632 29790376 31178752 31267328 31809536 32241664 32893952 33371008 33465812 34046144 34508656 34931468 35107072 35206808 36847616 37593088 37618504 39438464 40122368 40236352 40484864 42472192 42992576 43208704 43331456 44332288 44458232 45229184 47449402 48409361 48539648 49521664 50665472 50809408 51064832 51690496 54227888 54562816 54717824 55324984 55666688 58399264 58565171 59580752 61130069 62534656 63619072 64483328 65787904 66742016 66931624 68092288 69017312 69862936 70214144 70413616 75186176 75237008 78876928 80244736 80472704 84944384 85985152 86417408 86662912 88664576 88916464 90458368 92030983 94898804 96818722 97079296 99043328 101330944 101618816 102129664 103380992 108455776 108763889 109125632 109435648 110649968 111333376 116798528 117130342 119161504 122260138 125069312 128966656 131575808 133484032 133863248 136184576 138034624 139725872 140428288 140827232 150474016 157753856 160489472 160945408 169888768 171970304 172834816 173325824 177329152 177832928 180916736 184061966 189797608 193637444 194158592 198086656 202661888 203237632 204259328 206761984 216911552 217527778 218251264 218871296 221299936 222666752 233597056 234260684 238323008 244520276 250138624 257933312 263151616 266968064 267726496 272369152 276069248 279451744 280856576 281654464 300948032 315507712 320978944 321890816 339777536 343940608 346651648 354658304 355665856 361833472 368123932 379595216 387274888 388317184 396173312 405323776 406475264 413523968 433823104 435055556 437742592 442599872 445333504 467194112 468521368 476646016 489040552 500277248 526303232 533936128 535452992 544738304 552138496 558903488 561713152 563308928 601896064 631015424 643781632 644216881 679555072 687881216 693303296 709316608 711331712 723666944 736247864 759190432 761347223 774549776 792346624 812950528 827047936 867646208 870111112 875485184 885199744 934388224 937042736 953292032 978081104 1000554496 1067872256 1070905984 1089476608 1104276992 1117806976 1123426304 1126617856 1196402779 1203792128 1262030848 1287563264 1288433762 1359110144 1375762432 1386606592 1418633216 1422663424 1447333888 1472495728 1518380864 1522694446 1549099552 1625901056 1735292416 1740222224 1750970368 1770399488 1868776448 1874085472 1906584064 1956162208 2135744512 2141811968 2178953216 2208553984 2235613952 2246852608 2253235712 2392805558 2407584256 2524061696 2575126528 2576867524 2718220288 2751524864 2773213184 2837266432 2845326848 2894667776 2944991456 3036761728 3045388892 3098199104 3251802112 3470584832 3480444448 3501940736 3540798976 3737552896 3748170944 3813168128 3912324416 4271489024 4283623936 4357906432 4417107968 4471227904 4506471424 4785611116 4815168512 5048123392 5150253056 5153735048 5503049728 5546426368 5690653696 5789335552 5889982912 6073523456 6090777784 6196398208 6503604224 6941169664 6960888896 7003881472 7081597952 7475105792 7496341888 7626336256 7824648832 8374819453 8567247872 8715812864 8834215936 8942455808 9012942848 9571222232 9630337024 10300506112 10307470096 11006099456 11381307392 11779965824 12147046912 12181555568 12392796416 13007208448 13882339328 13921777792 14163195904 14950211584 14992683776 15252672512 15649297664 16749638906 17134495744 17668431872 17884911616 18025885696 19142444464 19260674048 20614940192 22762614784 23559931648 24294093824 24363111136 24785592832 27764678656 27843555584 28326391808 29900423168 29985367552 30505345024 31298595328 33499277812 34268991488 35336863744 35769823232 36051771392 38284888928 38521348096 41229880384 45525229568 47119863296 48588187648 48726222272 49571185664 55529357312 55687111168 56652783616 59970735104 61010690048 62597190656 66998555624 68537982976 71539646464 72103542784 76569777856 77042696192 82459760768 91050459136 94239726592 97176375296 97452444544 99142371328 111374222336 113305567232 119941470208 125194381312 133997111248 137075965952 143079292928 153139555712 164919521536 188479453184 194352750592 194904889088 198284742656 222748444672 239882940416 250388762624 267994222496 306279111424 329839043072 376958906368 388705501184 389809778176 396569485312 445496889344 479765880832 500777525248 535988444992 612558222848 659678086144 753917812736 779619556352 793138970624 890993778688 959531761664 1001555050496 1071976889984 1225116445696 1319356172288 1507835625472 1559239112704 1781987557376 2143953779968 2450232891392 2638712344576 3118478225408 4287907559936 4900465782784 5277424689152 6236956450816 8575815119872 9800931565568 10554849378304 12473912901632 17151630239744 19601863131136 34303260479488 68606520958976 137213041917952
- Sum of all divisors σ(n): 374341129634304
- Sum of proper divisors (its aliquot sum) s(n): 237128087716352
- 137213041917952 is an abundant number, because the sum of its proper divisors (237128087716352) is greater than itself. Its abundance is 99915045798400
Bases of 137213041917952
- Binary: 111110011001011011001101001111101000000000000002
- Hexadecimal: 0x7CCB669F4000
- Base-36: 1CMYSUF75S
Squares and roots of 137213041917952
- 137213041917952 squared (1372130419179522) is 18827418872377652666699874304
- 137213041917952 cubed (1372130419179523) is 2583367414942395431576460208272081481105408
-
The
square root of 137213041917952 is 11713797.0751567999 -
The
cube root of 137213041917952 is 51578.0751753263
Scales and comparisons
How big is 137213041917952?- 137,213,041,917,952 seconds is equal to 4,362,950 years, 15 weeks, 6 days, 2 hours, 5 minutes, 52 seconds.
-
To count from 1 to 137,213,041,917,952 would take you about ten million, nine hundred seven thousand, three hundred seventy-five 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 137213041917952 cubic inches would be around 4298.2 feet tall.
Recreational maths with 137213041917952
- 137213041917952 backwards is 259719140312731
- The number of decimal digits it has is: 15
- The sum of 137213041917952's digits is 55
- More coming soon!
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The information we have on file for 137213041917952 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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