137709271308028013568
137,709,271,308,028,013,568 is an even composite number composed of five prime numbers multiplied together.
What does the number 137709271308028013568 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
137709271308028013568 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 137709271308028013568:
210 × 32 × 133 × 1993 × 9292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 199 × 199 × 199 × 929 × 929)See below for interesting mathematical facts about the number 137709271308028013568 from the Numbermatics database.
Names of 137709271308028013568
- Cardinal: 137709271308028013568 can be written as One hundred thirty-seven quintillion, seven hundred nine quadrillion, two hundred seventy-one trillion, three hundred eight billion, twenty-eight million, thirteen thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37709271308028013568 × 1020
Factors of 137709271308028013568
Divisors of 137709271308028013568
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 199 208 234 256 288 312 338 384 398 416 468 507 512 576 597 624 676 768 796 832 929 936 1014 1024 1152 1194 1248 1352 1521 1536 1592 1664 1791 1858 1872 2028 2197 2304 2388 2496 2587 2704 2787 3042 3072 3184 3328 3582 3716 3744 4056 4394 4608 4776 4992 5174 5408 5574 6084 6368 6591 6656 7164 7432 7488 7761 8112 8361 8788 9216 9552 9984 10348 10816 11148 12077 12168 12736 13182 13312 14328 14864 14976 15522 16224 16722 17576 19104 19773 19968 20696 21632 22296 23283 24154 24336 25472 26364 28656 29728 29952 31044 32448 33444 33631 35152 36231 38208 39546 39601 39936 41392 43264 44592 46566 48308 48672 50944 52728 57312 59456 59904 62088 64896 66888 67262 70304 72462 76416 79092 79202 82784 86528 89184 93132 96616 97344 100893 101888 105456 108693 114624 118803 118912 119808 124176 129792 133776 134524 140608 144924 152832 157001 158184 158404 165568 173056 178368 184871 186264 193232 194688 201786 203776 210912 217386 229248 237606 237824 248352 259584 267552 269048 281216 289848 302679 305664 314002 316368 316808 331136 356409 356736 369742 372528 386464 389376 403572 421824 434772 437203 458496 471003 475212 475648 496704 514813 519168 535104 538096 554613 562432 579696 605358 611328 628004 632736 633616 662272 712818 713472 739484 745056 772928 778752 807144 843648 863041 869544 874406 916992 942006 950424 951296 993408 1029626 1070208 1076192 1109226 1124864 1159392 1210716 1256008 1265472 1267232 1311609 1324544 1413009 1425636 1426944 1478968 1490112 1544439 1545856 1557504 1614288 1663839 1687296 1726082 1739088 1748812 1833984 1884012 1900848 1986816 2041013 2059252 2140416 2152384 2218452 2249728 2318784 2403323 2421432 2512016 2530944 2534464 2589123 2623218 2649088 2826018 2851272 2853888 2957936 2980224 3088878 3091712 3228576 3327678 3374592 3452164 3478176 3497624 3768024 3801696 3934827 3973632 4082026 4118504 4280832 4304768 4436904 4633317 4637568 4806646 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150174997500554 157488936841728 158369526220672 159562838043648 163230720997416 170613014911872 176833281080534 178165716998256 184830766154528 186223462993152 193012860081444 193189946533376 207934611923844 217338689850048 217640961329888 219280882459392 225262496250831 227484019882496 237554289331008 244846081496124 248297950657536 255919522367808 257350480108592 265249921620801 267493772123136 277246149231792 289519290122166 289784919800064 292374509945856 300349995001108 314977873683456 316739052441344 326461441994832 341226029823744 353666562161068 356331433996512 369661532309056 372446925986304 386025720162888 386379893066752 415869223847688 434677379700096 435281922659776 438561764918784 450524992501662 454968039764992 475108578662016 489692162992248 511839044735616 514700960217184 530499843241602 554492298463584 579038580244332 579569839600128 600699990002216 633478104882688 652922883989664 675787488752493 682452059647488 707333124322136 712662867993024 739323064618112 744893851972608 772051440325776 795749764862403 831738447695376 869354759400192 870563845319552 877123529837568 901049985003324 950217157324032 979384325984496 1023678089471232 1029401920434368 1060999686483204 1108984596927168 1149416327023471 1158077160488664 1159139679200256 1201399980004432 1266956209765376 1305845767979328 1351574977504986 1364904119294976 1414666248644272 1425325735986048 1478646129236224 1544102880651552 1591499529724806 1663476895390752 1738709518800384 1741127690639104 1802099970006648 1900434314648064 1958768651968992 2047356178942464 2058803840868736 2121999372966408 2217969193854336 2298832654046942 2316154320977328 2402799960008864 2611691535958656 2703149955009972 2829332497288544 2850651471972096 2957292258472448 3088205761303104 3182999059449612 3326953790781504 3448248981070413 3477419037600768 3482255381278208 3604199940013296 3800868629296128 3917537303937984 4094712357884928 4117607681737472 4243998745932816 4435938387708672 4597665308093884 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45269319956616704 49411292180849664 50927984951193792 53231260652504064 55171983697126608 57667199040212736 59769649005220492 62680596863007744 67903979934925056 73562644929502144 74116938271274496 76889598720283648 82757975545689912 86500798560319104 89654473507830738 90538639913233408 101855969902387584 110343967394253216 115334398080425472 119539298010440984 134481710261746107 135807959869850112 147125289859004288 148233876542548992 165515951091379824 173001597120638208 179308947015661476 203711939804775168 220687934788506432 230668796160850944 239078596020881968 268963420523492214 271615919739700224 294250579718008576 331031902182759648 346003194241276416 358617894031322952 407423879609550336 441375869577012864 478157192041763936 537926841046984428 588501159436017152 662063804365519296 692006388482552832 717235788062645904 814847759219100672 882751739154025728 956314384083527872 1075853682093968856 1177002318872034304 1324127608731038592 1434471576125291808 1765503478308051456 1912628768167055744 2151707364187937712 2648255217462077184 2868943152250583616 3531006956616102912 3825257536334111488 4303414728375875424 5296510434924154368 5737886304501167232 7650515072668222976 8606829456751750848 10593020869848308736 11475772609002334464 15301030145336445952 17213658913503501696 22951545218004668928 34427317827007003392 45903090436009337856 68854635654014006784 137709271308028013568
- Sum of all divisors σ(n): 433395534601869112000
- Sum of proper divisors (its aliquot sum) s(n): 295686263293841098432
- 137709271308028013568 is an abundant number, because the sum of its proper divisors (295686263293841098432) is greater than itself. Its abundance is 157976991985813084864
Bases of 137709271308028013568
- Binary: 11101110111000110011001110010100011110000001110011011101100000000002
- Hexadecimal: 0x777199CA3C0E6EC00
- Base-36: T290MKEEJTOG0
Squares and roots of 137709271308028013568
- 137709271308028013568 squared (1377092713080280135682) is 18963843404188067486936034998647992090624
- 137709271308028013568 cubed (1377092713080280135683) is 2611497056390292133931432763183933627725263544450686157586432
-
The
square root of 137709271308028013568 is 11734959365.4186980985 -
The
cube root of 137709271308028013568 is 5164017.7543366211
Scales and comparisons
How big is 137709271308028013568?- 137,709,271,308,028,013,568 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 137,709,271,308,028,013,568 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137709271308028013568 cubic inches would be around 430334.8 feet tall.
Recreational maths with 137709271308028013568
- 137709271308028013568 backwards is 865310820803172907731
- The number of decimal digits it has is: 21
- The sum of 137709271308028013568's digits is 81
- More coming soon!
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The information we have on file for 137709271308028013568 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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