137688004952064
137,688,004,952,064 is an even composite number composed of four prime numbers multiplied together.
What does the number 137688004952064 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 792 divisors.
137688004952064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 137688004952064:
221 × 32 × 72 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 53 × 53 × 53)See below for interesting mathematical facts about the number 137688004952064 from the Numbermatics database.
Names of 137688004952064
- Cardinal: 137688004952064 can be written as One hundred thirty-seven trillion, six hundred eighty-eight billion, four million, nine hundred fifty-two thousand and sixty-four.
Scientific notation
- Scientific notation: 1.37688004952064 × 1014
Factors of 137688004952064
Divisors of 137688004952064
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 53 56 63 64 72 84 96 98 106 112 126 128 144 147 159 168 192 196 212 224 252 256 288 294 318 336 371 384 392 424 441 448 477 504 512 576 588 636 672 742 768 784 848 882 896 954 1008 1024 1113 1152 1176 1272 1344 1484 1536 1568 1696 1764 1792 1908 2016 2048 2226 2304 2352 2544 2597 2688 2809 2968 3072 3136 3339 3392 3528 3584 3816 4032 4096 4452 4608 4704 5088 5194 5376 5618 5936 6144 6272 6678 6784 7056 7168 7632 7791 8064 8192 8427 8904 9216 9408 10176 10388 10752 11236 11872 12288 12544 13356 13568 14112 14336 15264 15582 16128 16384 16854 17808 18432 18816 19663 20352 20776 21504 22472 23373 23744 24576 25088 25281 26712 27136 28224 28672 30528 31164 32256 32768 33708 35616 36864 37632 39326 40704 41552 43008 44944 46746 47488 49152 50176 50562 53424 54272 56448 57344 58989 61056 62328 64512 65536 67416 71232 73728 75264 78652 81408 83104 86016 89888 93492 94976 98304 100352 101124 106848 108544 112896 114688 117978 122112 124656 129024 131072 134832 137641 142464 147456 148877 150528 157304 162816 166208 172032 176967 179776 186984 189952 196608 200704 202248 213696 217088 225792 229376 235956 244224 249312 258048 262144 269664 275282 284928 294912 297754 301056 314608 325632 332416 344064 353934 359552 373968 379904 393216 401408 404496 412923 427392 434176 446631 451584 458752 471912 488448 498624 516096 524288 539328 550564 569856 589824 595508 602112 629216 651264 664832 688128 707868 719104 747936 759808 786432 802816 808992 825846 854784 868352 893262 903168 917504 943824 976896 997248 1032192 1042139 1048576 1078656 1101128 1139712 1179648 1191016 1204224 1238769 1258432 1302528 1329664 1339893 1376256 1415736 1438208 1495872 1519616 1572864 1605632 1617984 1651692 1709568 1736704 1786524 1806336 1835008 1887648 1953792 1994496 2064384 2084278 2097152 2157312 2202256 2279424 2359296 2382032 2408448 2477538 2516864 2605056 2659328 2679786 2752512 2831472 2876416 2991744 3039232 3126417 3145728 3211264 3235968 3303384 3419136 3473408 3573048 3612672 3670016 3775296 3907584 3988992 4128768 4168556 4314624 4404512 4558848 4718592 4764064 4816896 4955076 5033728 5210112 5318656 5359572 5505024 5662944 5752832 5983488 6078464 6252834 6291456 6422528 6471936 6606768 6838272 6946816 7146096 7225344 7294973 7340032 7550592 7815168 7977984 8257536 8337112 8629248 8809024 9117696 9379251 9437184 9528128 9633792 9910152 10067456 10420224 10637312 10719144 11010048 11325888 11505664 11966976 12156928 12505668 12845056 12943872 13213536 13676544 13893632 14292192 14450688 14589946 14680064 15101184 15630336 15955968 16515072 16674224 17258496 17618048 18235392 18758502 18874368 19056256 19267584 19820304 20134912 20840448 21274624 21438288 21884919 22020096 22651776 23011328 23933952 24313856 25011336 25690112 25887744 26427072 27353088 27787264 28584384 28901376 29179892 30202368 31260672 31911936 33030144 33348448 34516992 35236096 36470784 37517004 38112512 38535168 39640608 40269824 41680896 42549248 42876576 43769838 44040192 45303552 46022656 47867904 48627712 50022672 51380224 51775488 52854144 54706176 55574528 57168768 57802752 58359784 60404736 62521344 63823872 65654757 66060288 66696896 69033984 70472192 72941568 75034008 76225024 77070336 79281216 80539648 83361792 85098496 85753152 87539676 90607104 92045312 95735808 97255424 100045344 102760448 103550976 105708288 109412352 111149056 114337536 115605504 116719568 120809472 125042688 127647744 131309514 132120576 133393792 138067968 140944384 145883136 150068016 152450048 154140672 158562432 161079296 166723584 170196992 171506304 175079352 181214208 184090624 191471616 194510848 200090688 207101952 211416576 218824704 228675072 231211008 233439136 241618944 250085376 255295488 262619028 266787584 276135936 281888768 291766272 300136032 304900096 308281344 317124864 322158592 333447168 340393984 343012608 350158704 362428416 368181248 382943232 389021696 400181376 414203904 422833152 437649408 457350144 462422016 466878272 483237888 500170752 510590976 525238056 533575168 552271872 563777536 583532544 600272064 609800192 634249728 644317184 680787968 686025216 700317408 724856832 736362496 765886464 778043392 800362752 828407808 845666304 875298816 914700288 924844032 933756544 966475776 1000341504 1021181952 1050476112 1067150336 1104543744 1127555072 1167065088 1200544128 1219600384 1268499456 1288634368 1361575936 1372050432 1400634816 1449713664 1472724992 1531772928 1600725504 1656815616 1691332608 1750597632 1829400576 1867513088 1932951552 2042363904 2100952224 2134300672 2209087488 2255110144 2334130176 2401088256 2439200768 2536998912 2577268736 2723151872 2744100864 2801269632 2899427328 2945449984 3063545856 3201451008 3313631232 3382665216 3501195264 3658801152 3735026176 3865903104 4084727808 4201904448 4268601344 4418174976 4510220288 4802176512 4878401536 5073997824 5154537472 5446303744 5488201728 5602539264 5798854656 5890899968 6127091712 6402902016 6627262464 6765330432 7002390528 7317602304 7470052352 7731806208 8169455616 8403808896 8537202688 8836349952 9020440576 9604353024 9756803072 10147995648 10309074944 10976403456 11205078528 11597709312 12254183424 12805804032 13254524928 13530660864 14635204608 14940104704 15463612416 16338911232 16807617792 17074405376 17672699904 18040881152 19208706048 19513606144 20295991296 20618149888 21952806912 22410157056 23195418624 24508366848 25611608064 26509049856 27061321728 29270409216 29880209408 30927224832 33615235584 34148810752 36081762304 38417412096 39027212288 40591982592 41236299776 43905613824 44820314112 46390837248 49016733696 51223216128 53018099712 54122643456 58540818432 59760418816 61854449664 67230471168 68297621504 72163524608 76834824192 78054424576 81183965184 87811227648 89640628224 92781674496 102446432256 108245286912 117081636864 119520837632 123708899328 134460942336 136595243008 144327049216 153669648384 156108849152 162367930368 175622455296 179281256448 185563348992 204892864512 216490573824 234163273728 239041675264 268921884672 273190486016 288654098432 307339296768 312217698304 324735860736 351244910592 358562512896 371126697984 409785729024 432981147648 468326547456 478083350528 537843769344 546380972032 614678593536 649471721472 702489821184 717125025792 819571458048 865962295296 936653094912 956166701056 1075687538688 1092761944064 1229357187072 1298943442944 1404979642368 1434250051584 1639142916096 1912333402112 2151375077376 2185523888128 2458714374144 2597886885888 2809959284736 2868500103168 3278285832192 3824666804224 4302750154752 4917428748288 5737000206336 6556571664384 7649333608448 8605500309504 9834857496576 11474000412672 15298667216896 17211000619008 19669714993152 22948000825344 34422001238016 45896001650688 68844002476032 137688004952064
- Sum of all divisors σ(n): 471604661080020
- Sum of proper divisors (its aliquot sum) s(n): 333916656127956
- 137688004952064 is an abundant number, because the sum of its proper divisors (333916656127956) is greater than itself. Its abundance is 196228651175892
Bases of 137688004952064
- Binary: 111110100111001111111001010000000000000000000002
- Hexadecimal: 0x7D39FCA00000
- Base-36: 1CT0ZV5DS0
Squares and roots of 137688004952064
- 137688004952064 squared (1376880049520642) is 18957986707679600586937860096
- 137688004952064 cubed (1376880049520643) is 2610287367688152333192973681851895218438144
-
The
square root of 137688004952064 is 11734053.2192445761 -
The
cube root of 137688004952064 is 51637.5191531613
Scales and comparisons
How big is 137688004952064?- 137,688,004,952,064 seconds is equal to 4,378,052 years, 34 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,688,004,952,064 would take you about ten million, nine hundred forty-five thousand, one hundred thirty-one 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 137688004952064 cubic inches would be around 4303.1 feet tall.
Recreational maths with 137688004952064
- 137688004952064 backwards is 460259400886731
- 137688004952064 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137688004952064's digits is 63
- More coming soon!
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The information we have on file for 137688004952064 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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