137204144603136
137,204,144,603,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 137204144603136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 816 divisors.
137204144603136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 137204144603136:
216 × 32 × 13 × 41 × 607 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 41 × 607 × 719)See below for interesting mathematical facts about the number 137204144603136 from the Numbermatics database.
Names of 137204144603136
- Cardinal: 137204144603136 can be written as One hundred thirty-seven trillion, two hundred four billion, one hundred forty-four million, six hundred three thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.37204144603136 × 1014
Factors of 137204144603136
Divisors of 137204144603136
- Number of divisors d(n): 816
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 64 72 78 82 96 104 117 123 128 144 156 164 192 208 234 246 256 288 312 328 369 384 416 468 492 512 533 576 607 624 656 719 738 768 832 936 984 1024 1066 1152 1214 1248 1312 1438 1476 1536 1599 1664 1821 1872 1968 2048 2132 2157 2304 2428 2496 2624 2876 2952 3072 3198 3328 3642 3744 3936 4096 4264 4314 4608 4797 4856 4992 5248 5463 5752 5904 6144 6396 6471 6656 7284 7488 7872 7891 8192 8528 8628 9216 9347 9594 9712 9984 10496 10926 11504 11808 12288 12792 12942 13312 14568 14976 15744 15782 16384 17056 17256 18432 18694 19188 19424 19968 20992 21852 23008 23616 23673 24576 24887 25584 25884 26624 28041 29136 29479 29952 31488 31564 32768 34112 34512 36864 37388 38376 38848 39936 41984 43704 46016 47232 47346 49152 49774 51168 51768 53248 56082 58272 58958 59904 62976 63128 65536 68224 69024 71019 73728 74661 74776 76752 77696 79872 83968 84123 87408 88437 92032 94464 94692 98304 99548 102336 103536 106496 112164 116544 117916 119808 125952 126256 136448 138048 142038 147456 149322 149552 153504 155392 159744 167936 168246 174816 176874 184064 188928 189384 196608 199096 204672 207072 212992 223983 224328 233088 235832 239616 251904 252512 265311 272896 276096 284076 294912 298644 299104 307008 310784 319488 323531 335872 336492 349632 353748 368128 377856 378768 383227 398192 409344 414144 425984 436433 447966 448656 466176 471664 479232 503808 505024 530622 545792 552192 568152 589824 597288 598208 614016 621568 638976 647062 671744 672984 699264 707496 736256 755712 757536 766454 796384 818688 828288 851968 872866 895932 897312 932352 943328 958464 970593 1007616 1010048 1061244 1091584 1104384 1136304 1149681 1194576 1196416 1228032 1243136 1277952 1294124 1309299 1343488 1345968 1398528 1414992 1472512 1511424 1515072 1532908 1592768 1637376 1656576 1745732 1791864 1794624 1864704 1886656 1916928 1941186 2015232 2020096 2122488 2183168 2208768 2272608 2299362 2389152 2392832 2456064 2486272 2555904 2588248 2618598 2686976 2691936 2797056 2829984 2911779 2945024 3022848 3030144 3065816 3185536 3274752 3313152 3449043 3491464 3583728 3589248 3729408 3773312 3833856 3882372 3927897 4030464 4040192 4244976 4366336 4417536 4545216 4598724 4778304 4785664 4912128 4972544 5176496 5237196 5383872 5594112 5659968 5673629 5823558 5890048 6045696 6060288 6131632 6371072 6549504 6626304 6898086 6982928 7167456 7178496 7458816 7546624 7667712 7764744 7855794 8060928 8080384 8489952 8732672 8835072 9090432 9197448 9556608 9571328 9824256 9945088 10352992 10474392 10767744 11188224 11319936 11347258 11647116 11780096 12091392 12120576 12263264 12742144 13099008 13252608 13796172 13965856 14334912 14356992 14917632 15093248 15529488 15711588 16160768 16979904 17020887 17465344 17670144 17893753 18180864 18394896 19113216 19142656 19648512 19890176 20705984 20948784 21535488 22376448 22639872 22694516 23294232 23560192 24182784 24241152 24526528 25484288 26198016 26505216 27592344 27931712 28669824 28713984 29835264 30186496 31058976 31423176 32321536 33959808 34041774 34930688 35340288 35787506 36361728 36789792 38226432 38285312 39297024 39780352 41411968 41897568 43070976 44752896 45279744 45389032 46588464 47120384 48482304 49053056 50968576 51062661 52396032 53010432 53681259 55184688 55863424 57339648 57427968 59670528 60372992 62117952 62846352 64643072 67919616 68083548 70680576 71575012 72723456 73579584 76452864 76570624 78594048 82823936 83795136 86141952 89505792 90559488 90778064 93176928 96964608 98106112 101937152 102125322 104792064 106020864 107362518 110369376 111726848 114679296 114855936 119341056 120745984 124235904 125692704 129286144 135839232 136167096 141361152 143150024 145446912 147159168 152905728 153141248 157188096 161043777 165647872 167590272 172283904 179011584 181118976 181556128 186353856 193929216 196212224 203874304 204250644 212041728 214725036 220738752 223453696 229358592 229711872 232618789 241491968 248471808 251385408 258572288 271678464 272334192 286300048 290893824 294318336 305811456 306282496 314376192 322087554 331295744 335180544 344567808 358023168 362237952 363112256 372707712 387858432 392424448 407748608 408501288 424083456 429450072 441477504 446907392 458717184 459423744 465237578 482983936 496943616 502770816 517144576 543356928 544668384 572600096 581787648 588636672 611622912 612564992 644175108 662591488 670361088 689135616 697856367 724475904 726224512 745415424 775716864 784848896 815497216 817002576 858900144 882955008 893814784 917434368 918847488 930475156 965967872 993887232 1005541632 1086713856 1089336768 1145200192 1163575296 1177273344 1223245824 1288350216 1325182976 1340722176 1378271232 1395712734 1448951808 1452449024 1490830848 1551433728 1569697792 1630994432 1634005152 1717800288 1765910016 1787629568 1834868736 1837694976 1860950312 1931935744 1987774464 2011083264 2093569101 2173427712 2178673536 2290400384 2327150592 2354546688 2446491648 2576700432 2650365952 2681444352 2756542464 2791425468 2897903616 2904898048 2981661696 3139395584 3268010304 3435600576 3531820032 3575259136 3669737472 3721900624 3975548928 4022166528 4187138202 4346855424 4357347072 4580800768 4654301184 4709093376 4892983296 5153400864 5300731904 5362888704 5513084928 5582850936 5795807232 5809796096 5963323392 6278791168 6536020608 6871201152 7063640064 7150518272 7339474944 7443801248 7951097856 8044333056 8374276404 8693710848 8714694144 9161601536 9418186752 10306801728 10601463808 10725777408 11165701872 11619592192 11926646784 12557582336 13072041216 13742402304 14127280128 14301036544 14678949888 14887602496 15902195712 16088666112 16748552808 17387421696 17429388288 18323203072 18836373504 20613603456 21202927616 21451554816 22331403744 23239184384 23853293568 25115164672 26144082432 27484804608 28254560256 28602073088 29775204992 31804391424 32177332224 33497105616 34858776576 36646406144 37672747008 41227206912 42903109632 44662807488 46478368768 47706587136 52288164864 54969609216 56509120512 59550409984 63608782848 64354664448 66994211232 69717553152 73292812288 75345494016 82454413824 85806219264 89325614976 92956737536 95413174272 104576329728 109939218432 113018241024 119100819968 128709328896 133988422464 139435106304 146585624576 164908827648 178651229952 185913475072 190826348544 209152659456 219878436864 226036482048 238201639936 257418657792 267976844928 278870212608 293171249152 329817655296 357302459904 371826950144 418305318912 439756873728 476403279872 535953689856 557740425216 586342498304 659635310592 714604919808 836610637824 879513747456 952806559744 1071907379712 1115480850432 1172684996608 1319270621184 1429209839616 1673221275648 1759027494912 1905613119488 2143814759424 2638541242368 2858419679232 3346442551296 3518054989824 3811226238976 4287629518848 5277082484736 5716839358464 7622452477952 8575259037696 10554164969472 11433678716928 15244904955904 17150518075392 22867357433856 34301036150784 45734714867712 68602072301568 137204144603136
- Sum of all divisors σ(n): 438594687498240
- Sum of proper divisors (its aliquot sum) s(n): 301390542895104
- 137204144603136 is an abundant number, because the sum of its proper divisors (301390542895104) is greater than itself. Its abundance is 164186398291968
Bases of 137204144603136
- Binary: 111110011001001010101000100110100000000000000002
- Hexadecimal: 0x7CC9544D0000
- Base-36: 1CMUPP6V40
Squares and roots of 137204144603136
- 137204144603136 squared (1372041446031362) is 18824977296278253554941034496
- 137204144603136 cubed (1372041446031363) is 2582864907109313671388722344611067205779456
-
The
square root of 137204144603136 is 11713417.2897210487 -
The
cube root of 137204144603136 is 51576.9603243247
Scales and comparisons
How big is 137204144603136?- 137,204,144,603,136 seconds is equal to 4,362,667 years, 20 weeks, 4 days, 21 hours, 45 minutes, 36 seconds.
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To count from 1 to 137,204,144,603,136 would take you about ten million, nine hundred six thousand, six hundred sixty-eight 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 137204144603136 cubic inches would be around 4298.1 feet tall.
Recreational maths with 137204144603136
- 137204144603136 backwards is 631306441402731
- The number of decimal digits it has is: 15
- The sum of 137204144603136's digits is 45
- More coming soon!
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The information we have on file for 137204144603136 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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