137916888652093824
137,916,888,652,093,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137916888652093824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
137916888652093824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137916888652093824:
27 × 33 × 72 × 13 × 192 × 331 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 19 × 19 × 331 × 524287)See below for interesting mathematical facts about the number 137916888652093824 from the Numbermatics database.
Names of 137916888652093824
- Cardinal: 137916888652093824 can be written as One hundred thirty-seven quadrillion, nine hundred sixteen trillion, eight hundred eighty-eight billion, six hundred fifty-two million, ninety-three thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37916888652093824 × 1017
Factors of 137916888652093824
Divisors of 137916888652093824
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 63 64 72 76 78 84 91 96 98 104 108 112 114 117 126 128 133 144 147 152 156 168 171 182 189 192 196 208 216 224 228 234 247 252 266 273 288 294 304 312 331 336 342 351 361 364 378 384 392 399 416 432 441 448 456 468 494 504 513 532 546 576 588 608 624 637 662 672 684 702 722 728 741 756 784 798 819 832 864 882 896 912 931 936 988 993 1008 1026 1064 1083 1092 1152 1176 1197 1216 1248 1274 1323 1324 1344 1368 1404 1444 1456 1482 1512 1568 1596 1638 1664 1728 1729 1764 1824 1862 1872 1911 1976 1986 2016 2052 2128 2166 2184 2223 2317 2352 2394 2432 2457 2496 2527 2548 2646 2648 2688 2736 2793 2808 2888 2912 2964 2979 3024 3136 3192 3249 3276 3456 3458 3528 3591 3648 3724 3744 3822 3952 3972 4032 4104 4256 4303 4332 4368 4446 4634 4693 4704 4788 4914 4992 5054 5096 5187 5292 5296 5472 5586 5616 5733 5776 5824 5928 5958 6048 6272 6289 6384 6498 6552 6669 6916 6951 7056 7182 7296 7448 7488 7581 7644 7904 7944 8064 8208 8379 8512 8606 8664 8736 8892 8937 9268 9386 9408 9576 9747 9828 10108 10192 10374 10584 10592 10944 11172 11232 11466 11552 11648 11856 11916 12096 12103 12578 12768 12909 12996 13104 13338 13832 13902 14079 14112 14364 14896 14976 15162 15288 15561 15808 15888 16219 16416 16758 17024 17199 17212 17328 17472 17689 17784 17874 18536 18772 18816 18867 19152 19494 19656 20216 20384 20748 20853 21168 21184 21888 22344 22464 22743 22932 23104 23712 23832 24192 24206 25137 25156 25536 25818 25992 26208 26676 27664 27804 28158 28224 28728 29792 30121 30324 30576 31122 31616 31776 32438 32832 32851 33516 34398 34424 34656 34944 35378 35568 35748 36309 37072 37544 37734 38304 38727 38988 39312 40432 40768 41496 41706 42237 42336 42368 44023 44688 44928 45486 45864 46208 46683 47424 47664 48412 48657 50274 50312 51072 51636 51984 52416 53067 53352 55328 55608 56316 56448 56601 57456 59584 60242 60648 61152 62244 62559 63552 64876 65664 65702 67032 68229 68796 68848 69312 70756 71136 71496 72618 74144 75088 75468 76608 77454 77976 78624 80864 81536 81757 82992 83412 84474 84672 88046 89376 90363 90972 91728 93366 94848 95328 96824 97314 98553 100548 100624 103272 103968 104832 106134 106704 108927 110656 111216 112632 113202 114912 116181 119168 119491 120484 121296 122304 124488 125118 126711 127104 129752 131404 132069 134064 136458 137592 137696 138624 141512 142272 142992 145236 145971 148288 150176 150936 153216 154908 155952 157248 159201 161728 163514 165984 166824 168948 169344 169803 176092 178752 180726 181944 183456 186732 190656 193648 194628 197106 201096 201248 206544 207936 210847 212268 213408 217854 221312 222432 225264 226404 229824 229957 232362 238982 240968 242592 244608 245271 248976 250236 253422 259504 262808 264138 268128 271089 272916 275184 275392 283024 284544 285984 290472 291942 295659 296576 300352 301872 308161 309816 311904 314496 318402 323456 326781 327028 331968 333648 337896 339606 352184 357504 358473 361452 363888 366912 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26588950964352 27063753660144 27288660200256 27627581861397 28066114906816 28804696878048 29319066465156 29387787907968 29761952665536 31020442791744 31574379270168 31836770233632 32051333639808 32405283987804 33605479691056 34205577542682 34722278109792 34897998140712 36085004880192 36836775815196 37034610271776 37806164652438 38406262504064 39092088620208 39883426446528 39906507133129 42099172360224 42449026978176 43207045317072 43978599697734 45607436723576 46296370813056 46530664187616 47361568905252 47755155350448 49115701086928 49379480362368 50408219536584 51308366314023 52083417164688 52122784826944 54127507320288 54577320400512 55255163722794 56132229813632 56709246978657 57609393756096 58638132930312 59523905331072 62040885583488 63148758540336 63673540467264 64810567975608 67210959382112 68411155085364 69444556219584 69795996281424 72170009760384 73673551630392 74069220543552 75612329304876 78184177240416 79766852893056 79813014266258 82882745584191 84198344720448 86414090634144 87957199395468 91214873447152 93061328375232 94723137810504 95510310700896 98231402173856 100816439073168 102616732628046 104166834329376 104245569653888 108255014640576 110510327445588 113418493957314 115218787512192 117276265860624 119719521399387 126297517080672 127347080934528 129621135951216 134421918764224 136822310170728 138889112439168 139591992562848 147347103260784 148138441087104 151224658609752 153925098942069 156368354480832 159626028532516 165765491168382 168396689440896 172828181268288 175914398790936 182429746894304 186122656750464 189446275621008 191020621401792 196462804347712 201632878146336 205233465256092 208333668658752 216510029281152 221020654891176 226836987914628 234552531721248 239439042798774 252595034161344 259242271902432 268843837528448 273644620341456 279183985125696 294694206521568 302449317219504 307850197884138 312736708961664 319252057065032 331530982336764 345656362536576 351828797581872 359158564198161 364859493788608 378892551242016 382041242803584 392925608695424 403265756292672 410466930512184 416667337317504 442041309782352 453673975829256 469105063442496 478878085597548 505190068322688 518484543804864 547289240682912 558367970251392 589388413043136 604898634439008 615700395768276 638504114130064 663061964673528 703657595163744 718317128396322 729718987577216 757785102484032 806531512585344 820933861024368 884082619564704 907347951658512 938210126884992 957756171195096 1036969087609728 1077475692594483 1094578481365824 1178776826086272 1209797268878016 1231400791536552 1277008228260128 1326123929347056 1407315190327488 1436634256792644 1515570204968064 1641867722048736 1768165239129408 1814695903317024 1915512342390192 2154951385188966 2189156962731648 2419594537756032 2462801583073104 2554016456520256 2652247858694112 2814630380654976 2873268513585288 3283735444097472 3536330478258816 3629391806634048 3831024684780384 4309902770377932 4925603166146208 5108032913040512 5304495717388224 5746537027170576 6567470888194944 7258783613268096 7662049369560768 8619805540755864 9851206332292416 10608991434776448 11493074054341152 15324098739121536 17239611081511728 19702412664584832 22986148108682304 34479222163023456 45972296217364608 68958444326046912 137916888652093824
- Sum of all divisors σ(n): 539803927550361600
- Sum of proper divisors (its aliquot sum) s(n): 401887038898267776
- 137916888652093824 is an abundant number, because the sum of its proper divisors (401887038898267776) is greater than itself. Its abundance is 263970150246173952
Bases of 137916888652093824
- Binary: 1111010011111101010101101111101001010001010011001100000002
- Hexadecimal: 0x1E9FAADF4A29980
- Base-36: 11PZGFZ6WYO0
Squares and roots of 137916888652093824
- 137916888652093824 squared (1379168886520938242) is 19021068175474046205425779298942976
- 137916888652093824 cubed (1379168886520938243) is 2623326541600739460530105998733822910606452377780224
-
The
square root of 137916888652093824 is 371371631.4584271313 -
The
cube root of 137916888652093824 is 516661.1627859309
Scales and comparisons
How big is 137916888652093824?- 137,916,888,652,093,824 seconds is equal to 4,385,330,454 years, 9 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,916,888,652,093,824 would take you about thirteen billion, one hundred fifty-five million, nine hundred ninety-one thousand, three hundred sixty-two 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 137916888652093824 cubic inches would be around 43055.1 feet tall.
Recreational maths with 137916888652093824
- 137916888652093824 backwards is 428390256888619731
- The number of decimal digits it has is: 18
- The sum of 137916888652093824's digits is 90
- More coming soon!
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"Number 137916888652093824 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 137916888652093824 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/137916888652093824/
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Numbermatics. 2024. "Number 137916888652093824 - Facts about the integer". https://numbermatics.com/n/137916888652093824/
The information we have on file for 137916888652093824 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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