137209540875264
137,209,540,875,264 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137209540875264 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
137209540875264 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 137209540875264:
210 × 33 × 11 × 13 × 23 × 1092 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 23 × 109 × 109 × 127)See below for interesting mathematical facts about the number 137209540875264 from the Numbermatics database.
Names of 137209540875264
- Cardinal: 137209540875264 can be written as One hundred thirty-seven trillion, two hundred nine billion, five hundred forty million, eight hundred seventy-five thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.37209540875264 × 1014
Factors of 137209540875264
Divisors of 137209540875264
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 39 44 46 48 52 54 64 66 69 72 78 88 92 96 99 104 108 109 117 127 128 132 138 143 144 156 176 184 192 198 207 208 216 218 234 253 254 256 264 276 286 288 297 299 312 327 351 352 368 381 384 396 414 416 429 432 436 468 506 508 512 528 552 572 576 594 598 621 624 654 702 704 736 759 762 768 792 828 832 858 864 872 897 936 981 1012 1016 1024 1056 1104 1143 1144 1152 1188 1196 1199 1242 1248 1287 1308 1397 1404 1408 1417 1472 1518 1524 1536 1584 1651 1656 1664 1716 1728 1744 1794 1872 1962 2024 2032 2112 2208 2277 2286 2288 2304 2376 2392 2398 2484 2496 2507 2574 2616 2691 2794 2808 2816 2834 2921 2943 2944 3036 3048 3072 3168 3289 3302 3312 3328 3429 3432 3456 3488 3588 3597 3744 3861 3924 4048 4064 4191 4224 4251 4416 4554 4572 4576 4608 4752 4784 4796 4953 4968 4992 5014 5148 5232 5382 5588 5616 5632 5668 5842 5886 5888 6072 6096 6336 6578 6604 6624 6656 6831 6858 6864 6912 6976 7176 7194 7488 7521 7722 7848 8073 8096 8128 8382 8448 8502 8763 8832 9108 9144 9152 9216 9504 9568 9592 9867 9906 9936 9984 10028 10296 10464 10764 10791 11176 11232 11264 11336 11684 11772 11776 11881 12144 12192 12573 12672 12753 13156 13208 13248 13312 13662 13716 13728 13824 13843 13952 14352 14388 14859 14976 15042 15444 15587 15696 16146 16192 16256 16764 16896 17004 17526 17664 18161 18216 18288 18304 19008 19136 19184 19734 19812 19872 19968 20056 20592 20928 21528 21582 22352 22464 22563 22672 23368 23544 23552 23762 24288 24384 25146 25344 25506 26289 26312 26416 26496 27324 27432 27456 27577 27648 27686 27904 28704 28776 29601 29718 29952 30084 30888 31174 31392 32131 32292 32373 32384 32512 32591 33528 33792 34008 35052 35328 35643 36322 36432 36576 36608 37719 37973 38016 38259 38272 38368 39468 39624 39744 39936 40112 41184 41529 41856 43056 43164 44577 44704 44928 45126 45344 46736 46761 47088 47524 48576 48768 50292 50688 51012 52578 52624 52832 52992 54483 54648 54864 54912 55154 55372 55808 57408 57552 59202 59436 59904 60168 61776 62348 62784 64262 64584 64746 64768 65024 65182 67056 67689 68016 70104 70656 71286 72644 72864 73152 73216 75438 75946 76032 76518 76544 76736 78867 78936 79248 79488 80224 82368 82731 83058 83712 86112 86328 88803 89154 89408 89856 90252 90688 93472 93522 94176 95048 96393 97152 97536 97773 100584 101376 102024 105156 105248 105664 105984 106929 108966 109296 109728 109824 110308 110744 111616 113919 114816 115104 118404 118872 119808 120336 123552 124587 124696 125568 128524 129168 129492 129536 130048 130364 130691 134112 135378 136032 140208 140283 142572 145288 145728 146304 146432 150876 151892 152064 152273 153036 153088 153472 154453 157734 157872 158496 158976 160448 163449 164736 165462 166116 167424 172224 172656 177606 178308 178816 179712 179959 180504 181376 186944 187044 188352 190096 192786 194304 195072 195546 201168 204048 210312 210496 211328 211968 213858 217932 218592 219456 219648 220616 221488 227838 229632 230208 236808 237744 240672 247104 248193 249174 249392 251136 257048 258336 258984 259072 260728 261382 268224 270756 272064 273263 280416 280566 285144 289179 290576 291456 292608 293319 301752 303784 304128 304546 306072 306176 306944 308906 315468 315744 316992 317952 318389 320787 320896 326898 329472 330924 332232 334848 341757 344448 345312 355212 356616 357632 358501 359424 359918 361008 362752 373761 373888 374088 376704 380192 385572 388608 390144 391092 392073 402336 408096 417703 420624 420849 420992 422656 427716 435864 437184 438912 439296 441232 442976 455676 456819 459264 460416 463359 473616 475488 481344 490347 494208 496386 498348 498784 502272 514096 516672 517968 521456 522764 536448 539877 541512 544128 546526 560832 561132 570288 578358 581152 582912 585216 586638 603504 607568 609092 612144 613888 617812 630936 631488 633984 635904 636778 641574 641792 653796 658944 661848 664464 683514 688896 690624 710424 713232 715264 717002 719836 722016 725504 744579 747522 747776 748176 753408 760384 771144 777216 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259866554688 267987384522 270097521408 271165100544 293182779648 314700781824 317614677952 319835759616 329830627104 331424011776 346488739584 357316512696 360130028544 372852013248 389799832032 390910372864 419601042432 439774169472 458894785536 461984986112 476422016928 479753639424 497136017664 519733109376 535974769044 540195042816 542330201088 586365559296 629401563648 635229355904 659661254208 662848023552 692977479168 714633025392 745704026496 779599664064 879548338944 952844033856 959507278848 994272035328 1039466218752 1071949538088 1080390085632 1172731118592 1258803127296 1270458711808 1319322508416 1385954958336 1429266050784 1491408052992 1559199328128 1759096677888 1905688067712 1988544070656 2078932437504 2143899076176 2540917423616 2638645016832 2858532101568 2982816105984 3118398656256 3518193355776 3811376135424 4157864875008 4287798152352 5081834847232 5277290033664 5717064203136 5965632211968 6236797312512 7622752270848 8575596304704 10554580067328 11434128406272 12473594625024 15245504541696 17151192609408 22868256812544 34302385218816 45736513625088 68604770437632 137209540875264
- Sum of all divisors σ(n): 506714964295680
- Sum of proper divisors (its aliquot sum) s(n): 369505423420416
- 137209540875264 is an abundant number, because the sum of its proper divisors (369505423420416) is greater than itself. Its abundance is 232295882545152
Bases of 137209540875264
- Binary: 111110011001010100101011111000110010100000000002
- Hexadecimal: 0x7CCA95F19400
- Base-36: 1CMX6XZPC0
Squares and roots of 137209540875264
- 137209540875264 squared (1372095408752642) is 18826458107200742403207069696
- 137209540875264 cubed (1372095408752643) is 2583169673196405581543487156536732490399744
-
The
square root of 137209540875264 is 11713647.6332210027 -
The
cube root of 137209540875264 is 51577.6364935601
Scales and comparisons
How big is 137209540875264?- 137,209,540,875,264 seconds is equal to 4,362,838 years, 51 weeks, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,209,540,875,264 would take you about ten million, nine hundred seven thousand and ninety-seven 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 137209540875264 cubic inches would be around 4298.1 feet tall.
Recreational maths with 137209540875264
- 137209540875264 backwards is 462578045902731
- The number of decimal digits it has is: 15
- The sum of 137209540875264's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 137209540875264 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 137209540875264 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137209540875264/
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Numbermatics. 2024. "Number 137209540875264 - Facts about the integer". https://numbermatics.com/n/137209540875264/
The information we have on file for 137209540875264 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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