138846788255146972
138,846,788,255,146,972 is an even composite number composed of six prime numbers multiplied together.
What does the number 138846788255146972 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138846788255146972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138846788255146972:
22 × 77 × 112 × 13 × 232 × 373
(2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 13 × 23 × 23 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138846788255146972 from the Numbermatics database.
Names of 138846788255146972
- Cardinal: 138846788255146972 can be written as One hundred thirty-eight quadrillion, eight hundred forty-six trillion, seven hundred eighty-eight billion, two hundred fifty-five million, one hundred forty-six thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.38846788255146972 × 1017
Factors of 138846788255146972
Divisors of 138846788255146972
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 11 13 14 22 23 26 28 37 44 46 49 52 74 77 91 92 98 121 143 148 154 161 182 196 242 253 259 286 299 308 322 343 364 407 481 484 506 518 529 539 572 598 637 644 686 814 847 851 962 1001 1012 1036 1058 1078 1127 1196 1274 1369 1372 1573 1628 1694 1702 1771 1813 1924 2002 2093 2116 2156 2254 2401 2548 2738 2783 2849 3146 3289 3367 3388 3404 3542 3626 3703 3773 4004 4186 4459 4477 4508 4802 5291 5476 5566 5698 5819 5929 5957 6292 6578 6734 6877 7007 7084 7252 7406 7546 7889 8372 8918 8954 9361 9583 9604 10582 11011 11063 11132 11396 11638 11858 11914 12397 12691 13156 13468 13754 14014 14651 14812 15059 15092 15778 16807 17797 17836 17908 18722 19166 19481 19573 19943 21164 22022 22126 23023 23276 23569 23716 23828 24794 25382 25921 26411 27508 28028 29302 30118 31213 31339 31487 31556 33614 35594 36179 37037 37444 38332 38962 39146 39886 40733 41503 41699 44044 44252 46046 47138 48139 49049 49588 50653 50764 51842 52822 55223 58201 58604 60236 62426 62678 62974 64009 65527 67081 67228 71188 72358 74074 75647 77077 77441 77924 78292 79772 81466 83006 83398 86779 88837 92092 94276 96278 98098 101306 102557 102971 103684 105413 105644 110446 116402 117649 121693 124579 124852 125356 125948 128018 131054 134162 136367 137011 139601 144716 148148 151294 154154 154882 161161 162932 164983 165649 166012 166796 173558 177674 181447 184877 192556 195767 196196 202612 205114 205942 210826 215303 218491 219373 220409 220892 232804 235298 243386 249158 253253 254449 256036 259259 262108 268324 272734 274022 279202 285131 290521 291893 302588 308308 309764 322322 329966 331298 336973 343343 346357 347116 354571 355348 362894 369754 386561 391534 407407 409331 410228 411884 421652 430606 436982 438746 440818 448063 458689 469567 470596 486772 498316 506506 508898 518518 529529 539539 542087 545468 548044 557183 558404 570262 581042 583786 607453 621859 644644 658489 659932 662596 673946 686686 692714 709142 717899 720797 724201 725788 737891 739508 773122 783068 814814 818662 823543 832117 851851 861212 872053 873964 877492 881636 896126 917378 939134 954569 959077 977207 1013012 1017796 1037036 1059058 1079078 1084174 1114366 1128127 1140524 1154881 1159543 1162084 1165019 1167572 1214906 1243718 1270129 1294139 1316978 1338623 1347892 1370369 1373372 1385428 1418284 1435798 1441594 1448402 1475782 1507121 1529437 1535611 1542863 1546244 1629628 1637324 1647086 1664234 1703702 1744106 1772771 1781143 1792252 1814813 1834756 1878268 1909138 1918154 1954414 1995917 2033647 2043251 2118116 2153437 2158156 2168348 2228732 2256254 2309762 2319086 2330038 2358811 2368333 2403401 2424499 2429812 2481997 2487436 2540258 2588278 2633956 2677246 2705927 2740738 2798939 2851849 2865317 2871596 2883188 2896804 2951564 3014242 3058874 3071222 3085726 3136441 3210823 3286969 3294172 3328468 3407404 3488212 3545542 3562286 3629626 3706703 3776773 3794609 3809927 3818276 3836308 3900281 3908828 3991834 4067294 4086502 4252171 4306874 4353013 4502641 4512508 4609423 4619524 4638172 4660076 4717622 4736666 4806802 4848998 4963994 5025293 5045579 5069407 5080516 5165237 5176556 5354492 5411854 5481476 5597878 5703698 5730634 5824819 5962957 6028484 6104371 6117748 6129013 6142444 6171452 6272882 6421646 6573938 6681983 6713539 6840449 7091084 7124572 7243379 7259252 7413406 7553546 7589218 7619854 7800562 7896889 7966211 7983668 8084167 8116801 8134588 8155133 8173004 8504342 8613748 8706026 8890903 9005282 9058973 9218846 9370361 9414613 9435244 9473332 9592583 9613604 9697996 9927988 10050586 10091158 10138814 10330474 10549847 10706059 10749277 10800041 10823708 11195756 11407396 11461268 11649638 11925914 12208742 12258026 12409397 12468001 12545764 12703691 12815209 12843292 13147876 13363966 13427078 13680898 13971419 14235529 14302757 14486758 14826812 15074059 15107092 15145247 15178436 15239708 15601124 15793778 15932422 16168334 16233602 16310266 16511677 16578331 16823807 16971493 17008684 17373979 17412052 17781806 18010564 18117946 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762894440962346 862402411522652 901602521137318 938153974696939 970956561224804 1147494117811132 1416803961787214 1509204220164641 1525788881924692 1803205042274636 1876307949393878 2670130543368211 2833607923574428 3018408440329282 3155608823980613 3752615898787756 4958813866255249 5340261086736422 6036816880658564 6311217647961226 9917627732510498 10680522173472844 12622435295922452 19835255465020996 34711697063786743 69423394127573486 138846788255146972
- Sum of all divisors σ(n): 360528835772896000
- Sum of proper divisors (its aliquot sum) s(n): 221682047517749028
- 138846788255146972 is an abundant number, because the sum of its proper divisors (221682047517749028) is greater than itself. Its abundance is 82835259262602056
Bases of 138846788255146972
- Binary: 1111011010100100001101011000101000010011011100011110111002
- Hexadecimal: 0x1ED486B1426E3DC
- Base-36: 11Z52TYH9ZA4
Squares and roots of 138846788255146972
- 138846788255146972 squared (1388467882551469722) is 19278430608769619125351849320768784
- 138846788255146972 cubed (1388467882551469723) is 2676748172627379442278158613475540137860203949722048
-
The
square root of 138846788255146972 is 372621508.0415339793 -
The
cube root of 138846788255146972 is 517819.7524545213
Scales and comparisons
How big is 138846788255146972?- 138,846,788,255,146,972 seconds is equal to 4,414,898,385 years, 10 weeks, 2 days, 8 hours, 22 minutes, 52 seconds.
-
To count from 1 to 138,846,788,255,146,972 would take you about thirteen billion, two hundred forty-four million, six hundred ninety-five thousand, one hundred fifty-five 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 138846788255146972 cubic inches would be around 43151.6 feet tall.
Recreational maths with 138846788255146972
- 138846788255146972 backwards is 279641552887648831
- The number of decimal digits it has is: 18
- The sum of 138846788255146972's digits is 94
- More coming soon!
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Cite this page
MLA style:
"Number 138846788255146972 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138846788255146972 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138846788255146972/
Chicago style:
Numbermatics. 2024. "Number 138846788255146972 - Facts about the integer". https://numbermatics.com/n/138846788255146972/
The information we have on file for 138846788255146972 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 138846788255146972, math, Factors of 138846788255146972, curriculum, school, college, exams, university, Prime factorization of 138846788255146972, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred forty-six trillion, seven hundred eighty-eight billion, two hundred fifty-five million, one hundred forty-six thousand, nine hundred seventy-two.