138820188716352
138,820,188,716,352 is an even composite number composed of six prime numbers multiplied together.
What does the number 138820188716352 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138820188716352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138820188716352:
26 × 33 × 112 × 132 × 79 × 2232
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 79 × 223 × 223)See below for interesting mathematical facts about the number 138820188716352 from the Numbermatics database.
Names of 138820188716352
- Cardinal: 138820188716352 can be written as One hundred thirty-eight trillion, eight hundred twenty billion, one hundred eighty-eight million, seven hundred sixteen thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.38820188716352 × 1014
Factors of 138820188716352
Divisors of 138820188716352
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 79 88 96 99 104 108 117 121 132 143 144 156 158 169 176 192 198 208 216 223 234 237 242 264 286 288 297 312 316 338 351 352 363 396 416 429 432 446 468 474 484 507 528 572 576 594 624 632 669 676 702 704 711 726 792 832 858 864 869 892 936 948 968 1014 1027 1056 1089 1144 1188 1248 1264 1287 1338 1352 1404 1422 1452 1521 1573 1584 1716 1728 1738 1784 1859 1872 1896 1936 2007 2028 2054 2112 2133 2178 2288 2376 2453 2496 2528 2574 2607 2676 2704 2808 2844 2899 2904 3042 3081 3146 3168 3267 3432 3476 3568 3718 3744 3792 3861 3872 4014 4056 4108 4266 4356 4563 4576 4719 4752 4906 5056 5148 5214 5352 5408 5577 5616 5688 5798 5808 6021 6084 6162 6292 6336 6534 6864 6952 7136 7359 7436 7488 7584 7722 7744 7821 8028 8112 8216 8532 8697 8712 9126 9152 9243 9438 9504 9559 9812 10296 10428 10704 10816 11154 11232 11297 11376 11596 11616 12042 12168 12324 12584 13068 13351 13728 13904 14157 14272 14718 14872 15168 15444 15642 16056 16224 16432 16731 17064 17394 17424 17617 18252 18486 18876 19008 19118 19624 20449 20592 20856 21408 22077 22308 22464 22594 22752 23192 23232 23463 24084 24336 24648 25168 26091 26136 26702 26983 27456 27729 27808 28314 28677 29436 29744 30888 31284 31889 32112 32448 32864 33462 33891 34128 34788 34848 35234 36504 36972 37687 37752 38236 39248 40053 40898 41184 41712 42471 42816 44154 44616 45188 45504 46384 46926 48168 48672 49296 49729 50193 50336 52182 52272 52851 53404 53966 55458 55616 56628 57354 58872 59488 61347 61776 62568 63778 64224 65728 66231 66924 67782 68256 69576 69696 70468 73008 73944 75374 75504 76472 78273 78496 80106 80949 81796 82368 83424 84942 86031 88308 89232 90376 92768 93852 95667 96336 97344 98592 99458 100386 100672 101673 104364 104544 105702 106808 107932 110916 113061 113256 114708 117744 118976 120159 122694 123552 124267 125136 127556 128448 132462 133848 135564 136512 139152 140936 146016 146861 147888 149187 150748 151008 152944 156546 156992 158553 160212 161898 163592 166848 169884 172062 176616 178464 180752 184041 185536 187704 191334 192672 193787 197184 198916 200772 203346 208728 209088 211404 213616 215864 221832 226122 226512 229021 229416 235488 240318 242847 245388 247104 248534 250272 255112 258093 264924 267696 271128 278304 281872 287001 292032 293722 295776 298374 301496 302016 305019 305888 313092 317106 320424 323796 327184 339183 339768 344124 350779 353232 356928 360477 361504 368082 372801 375408 382668 385344 387574 397832 401544 406692 414557 417456 422808 427232 431728 440583 443664 447561 452244 453024 458042 458832 470976 475659 480636 485694 490776 497068 500544 510224 516186 529848 535392 542256 547019 552123 556608 563744 574002 581361 587444 591552 596748 602992 610038 611776 626184 634212 640848 646477 647592 654368 678366 679536 687063 688248 701558 706464 720954 723008 728541 736164 745602 750816 765336 775148 795664 803088 813384 829114 834912 845616 854464 861003 863456 881166 887328 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242692637616 262917024084 273807078336 286818571728 292869596448 296624334864 311256028512 321343029436 323590183488 333702376722 350556032112 382424762304 394375536126 395499113152 410710617504 439304394672 444936502296 467408042816 482014544154 485385275232 525834048168 573637143456 585739192896 593248669728 622512057024 642686058872 667404753444 701112064224 723021816231 788751072252 821421235008 878608789344 889873004592 964029088308 970770550464 1051668096336 1147274286912 1186497339456 1285372117744 1334809506888 1402224128448 1446043632462 1577502144504 1757217578688 1779746009184 1928058176616 2103336192672 2169065448693 2570744235488 2669619013776 2892087264924 3155004289008 3559492018368 3856116353232 4206672385344 4338130897386 5141488470976 5339238027552 5784174529848 6310008578016 7712232706464 8676261794772 10678476055104 11568349059696 12620017156032 15424465412928 17352523589544 23136698119392 34705047179088 46273396238784 69410094358176 138820188716352
- Sum of all divisors σ(n): 494103585628800
- Sum of proper divisors (its aliquot sum) s(n): 355283396912448
- 138820188716352 is an abundant number, because the sum of its proper divisors (355283396912448) is greater than itself. Its abundance is 216463208196096
Bases of 138820188716352
- Binary: 111111001000001100110000000100100111101010000002
- Hexadecimal: 0x7E4198093D40
- Base-36: 1D7H444PC0
Squares and roots of 138820188716352
- 138820188716352 squared (1388201887163522) is 19271044795243583141512187904
- 138820188716352 cubed (1388201887163523) is 2675210075236987198660683799713144781406208
-
The
square root of 138820188716352 is 11782197.9577815615 -
The
cube root of 138820188716352 is 51778.6683279427
Scales and comparisons
How big is 138820188716352?- 138,820,188,716,352 seconds is equal to 4,414,052 years, 31 weeks, 2 days, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,820,188,716,352 would take you about eleven million, thirty-five thousand, one hundred thirty-one 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 138820188716352 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138820188716352
- 138820188716352 backwards is 253617881028831
- The number of decimal digits it has is: 15
- The sum of 138820188716352's digits is 63
- More coming soon!
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"Number 138820188716352 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138820188716352 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138820188716352/
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The information we have on file for 138820188716352 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 138820188716352, math, Factors of 138820188716352, curriculum, school, college, exams, university, Prime factorization of 138820188716352, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred twenty billion, one hundred eighty-eight million, seven hundred sixteen thousand, three hundred fifty-two.