137189326817628792
137,189,326,817,628,792 is an even composite number composed of five prime numbers multiplied together.
What does the number 137189326817628792 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
137189326817628792 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137189326817628792:
23 × 35 × 72 × 233 × 4913
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 23 × 23 × 23 × 491 × 491 × 491)See below for interesting mathematical facts about the number 137189326817628792 from the Numbermatics database.
Names of 137189326817628792
- Cardinal: 137189326817628792 can be written as One hundred thirty-seven quadrillion, one hundred eighty-nine trillion, three hundred twenty-six billion, eight hundred seventeen million, six hundred twenty-eight thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.37189326817628792 × 1017
Factors of 137189326817628792
Divisors of 137189326817628792
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 49 54 56 63 69 72 81 84 92 98 108 126 138 147 161 162 168 184 189 196 207 216 243 252 276 294 322 324 378 392 414 441 483 486 491 504 529 552 567 588 621 644 648 756 828 882 966 972 982 1058 1127 1134 1176 1242 1288 1323 1449 1473 1512 1587 1656 1701 1764 1863 1932 1944 1964 2116 2254 2268 2484 2646 2898 2946 3174 3381 3402 3437 3528 3703 3726 3864 3928 3969 4232 4347 4419 4508 4536 4761 4968 5292 5589 5796 5892 6348 6762 6804 6874 7406 7452 7938 8694 8838 9016 9522 10143 10311 10584 11109 11178 11293 11592 11784 11907 12167 12696 13041 13257 13524 13608 13748 14283 14812 14904 15876 17388 17676 19044 20286 20622 22218 22356 22586 23814 24059 24334 25921 26082 26514 27048 27496 28566 29624 30429 30933 31752 33327 33879 34776 35352 36501 38088 39123 39771 40572 41244 42849 44436 44712 45172 47628 48118 48668 51842 52164 53028 57132 60858 61866 66654 67758 72177 73002 77763 78246 79051 79542 81144 82488 85169 85698 88872 90344 91287 92799 95256 96236 97336 99981 101637 103684 104328 106056 109503 114264 119313 121716 123732 128547 133308 135516 144354 146004 155526 156492 158102 159084 170338 171396 182574 185598 192472 199962 203274 207368 216531 219006 233289 237153 238626 241081 243432 247464 255507 257094 259739 266616 271032 273861 278397 288708 292008 299943 304911 311052 312984 316204 318168 328509 340676 342792 365148 371196 399924 406548 433062 438012 466578 474306 477252 482162 511014 514188 519478 547722 553357 556794 577416 596183 599886 609822 622104 632408 649593 657018 681352 699867 711459 723243 730296 742392 766521 779217 799848 813096 835191 866124 876024 899829 914733 933156 948612 954504 964324 985527 1022028 1028376 1038956 1095444 1106714 1113588 1192366 1199772 1219644 1299186 1314036 1399734 1422918 1446486 1533042 1558434 1660071 1670382 1687567 1732248 1788549 1799658 1818173 1829466 1866312 1897224 1928648 1948779 1971054 2044056 2077912 2099601 2134377 2169729 2190888 2213428 2227176 2299563 2337651 2384732 2399544 2439288 2598372 2628072 2744199 2799468 2845836 2892972 2956581 3066084 3116868 3320142 3340764 3375134 3577098 3599316 3636346 3658932 3897558 3942108 4199202 4268754 4339458 4426856 4599126 4675302 4769464 4980213 5062701 5196744 5365647 5454519 5488398 5544863 5598936 5691672 5785944 5846337 5913162 5973997 6132168 6233736 6298803 6403131 6509187 6640284 6681528 6750268 6898689 7012953 7154196 7198632 7272692 7317864 7795116 7884216 8398404 8537508 8678916 9198252 9350604 9960426 10125402 10731294 10909038 10976796 11089726 11692674 11812969 11826324 11947994 12597606 12727211 12806262 13018374 13280568 13500536 13797378 14025906 14308392 14545384 14940639 15188103 15590232 16096941 16363557 16634589 16796808 17075016 17357832 17921991 18396504 18701208 19209393 19527561 19920852 20250804 20696067 21038859 21462588 21818076 21953592 22179452 23385348 23625938 23652648 23895988 25195212 25454422 25612524 26036748 27594756 28051812 29881278 30376206 32193882 32727114 33269178 35438907 35843982 38181633 38418786 38814041 39055122 39841704 40501608 41392134 41817979 42077718 42925176 43636152 44358904 44821917 45564309 46770696 47251876 47791976 48290823 49090671 49903767 50390424 50908844 51225048 52073496 53765973 55189512 56103624 58582683 59762556 60752412 63116577 64387764 65454228 66538356 70877814 71687964 76363266 76837572 77628082 78110244 82784268 83635958 84155436 89643834 91128618 94503752 96581646 98181342 99807534 101817688 106316721 107531946 114544899 116442123 117165366 118370771 119525112 121504824 125453937 126233154 127531849 128775528 130908456 133076712 134465751 136692927 141755628 143375928 144872469 147272013 149711301 152726532 153675144 155256164 156220488 161297919 165568536 167271916 168310872 179287668 182257236 193163292 196362684 199615068 212633442 215063892 229089798 232884246 234330732 236741542 250907874 252466308 255063698 268931502 271698287 273385854 283511256 289744938 292725853 294544026 299422602 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35504484166053 36819465061092 37048157390664 38885863610439 39915428227416 40326080781196 40576553332632 43222850289108 46567999598652 47339312221404 51847818147252 55229197591638 60489121171794 60864829998948 64834275433662 69851999397978 70570641367093 71008968332106 73638930122184 77771727220878 80652161562392 82843796387457 86445700578216 90733681757691 93135999197304 94678624442808 103695636294504 106513452498159 110458395183276 116657590831317 120978242343588 121729659997896 129668550867324 139703998795956 141141282734186 142017936664212 155543454441756 165687592774914 181467363515382 211711924101279 213026904996318 220916790366552 233315181662634 241956484687176 248531389162371 259337101734648 272201045273073 279407997591912 282282565468372 284035873328424 311086908883512 331375185549828 349972772493951 362934727030764 423423848202558 426053809992636 466630363325268 497062778324742 544402090546146 564565130936744 635135772303837 662750371099656 699945544987902 725869454061528 745594167487113 816603135819219 846847696405116 852107619985272 933260726650536 994125556649484 1088804181092292 1270271544607674 1399891089975804 1491188334974226 1633206271638438 1693695392810232 1905407316911511 1988251113298968 2177608362184584 2449809407457657 2540543089215348 2799782179951608 2982376669948452 3266412543276876 3810814633823022 4899618814915314 5081086178430696 5716221950734533 5964753339896904 6532825086553752 7621629267646044 9799237629830628 11432443901469066 15243258535292088 17148665852203599 19598475259661256 22864887802938132 34297331704407198 45729775605876264 68594663408814396 137189326817628792
- Sum of all divisors σ(n): 469552868659929600
- Sum of proper divisors (its aliquot sum) s(n): 332363541842300808
- 137189326817628792 is an abundant number, because the sum of its proper divisors (332363541842300808) is greater than itself. Its abundance is 195174215024672016
Bases of 137189326817628792
- Binary: 1111001110110010011110111010000111111000010010010011110002
- Hexadecimal: 0x1E764F743F09278
- Base-36: 11ITK2ONRJI0
Squares and roots of 137189326817628792
- 137189326817628792 squared (1371893268176287922) is 18820911392674162453865225507379264
- 137189326817628792 cubed (1371893268176287923) is 2582028164055208730991489478960949316942158710169088
-
The
square root of 137189326817628792 is 370390775.8268674703 -
The
cube root of 137189326817628792 is 515751.0351975097
Scales and comparisons
How big is 137189326817628792?- 137,189,326,817,628,792 seconds is equal to 4,362,196,238 years, 18 weeks, 1 day, 14 hours, 13 minutes, 12 seconds.
-
To count from 1 to 137,189,326,817,628,792 would take you about thirteen billion, eighty-six million, five hundred eighty-eight thousand, seven hundred fifteen 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 137189326817628792 cubic inches would be around 42979.3 feet tall.
Recreational maths with 137189326817628792
- 137189326817628792 backwards is 297826718623981731
- The number of decimal digits it has is: 18
- The sum of 137189326817628792's digits is 90
- More coming soon!
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Cite this page
MLA style:
"Number 137189326817628792 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 137189326817628792 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/137189326817628792/
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The information we have on file for 137189326817628792 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!
Keywords: Divisors of 137189326817628792, math, Factors of 137189326817628792, curriculum, school, college, exams, university, Prime factorization of 137189326817628792, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred eighty-nine trillion, three hundred twenty-six billion, eight hundred seventeen million, six hundred twenty-eight thousand, seven hundred ninety-two.