138827109874752
138,827,109,874,752 is an even composite number composed of six prime numbers multiplied together.
What does the number 138827109874752 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138827109874752 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 138827109874752:
26 × 33 × 132 × 192 × 792 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 19 × 19 × 79 × 79 × 211)See below for interesting mathematical facts about the number 138827109874752 from the Numbermatics database.
Names of 138827109874752
- Cardinal: 138827109874752 can be written as One hundred thirty-eight trillion, eight hundred twenty-seven billion, one hundred nine million, eight hundred seventy-four thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38827109874752 × 1014
Factors of 138827109874752
Divisors of 138827109874752
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 79 96 104 108 114 117 144 152 156 158 169 171 192 208 211 216 228 234 237 247 288 304 312 316 338 342 351 361 416 422 432 456 468 474 494 507 513 576 608 624 632 633 676 684 702 711 722 741 832 844 864 912 936 948 988 1014 1026 1027 1083 1216 1248 1264 1266 1352 1368 1404 1422 1444 1482 1501 1521 1688 1728 1824 1872 1896 1899 1976 2028 2052 2054 2133 2166 2223 2496 2528 2532 2704 2736 2743 2808 2844 2888 2964 3002 3042 3081 3211 3249 3376 3648 3744 3792 3798 3952 4009 4056 4104 4108 4266 4332 4446 4503 4563 4693 5056 5064 5408 5472 5486 5616 5688 5697 5776 5928 6004 6084 6162 6241 6422 6498 6669 6752 7488 7584 7596 7904 8018 8112 8208 8216 8229 8532 8664 8892 9006 9126 9243 9386 9633 9747 10128 10816 10944 10972 11232 11376 11394 11552 11856 12008 12027 12168 12324 12482 12844 12996 13338 13351 13504 13509 14079 15168 15192 15808 16036 16224 16416 16432 16458 16669 17064 17328 17784 18012 18252 18486 18723 18772 19266 19494 19513 20256 21944 22464 22752 22788 23104 23712 24016 24054 24336 24648 24687 24964 25688 25992 26676 26702 27018 27729 28158 28519 28899 30384 32072 32448 32832 32864 32916 33338 34128 34656 35568 35659 36024 36081 36504 36972 37446 37544 38532 38988 39026 40053 40512 40527 42237 43888 45504 45576 47424 48032 48108 48672 49296 49374 49928 50007 51376 51984 52117 53352 53404 54036 55458 56169 56316 57038 57798 58539 60768 61009 64144 65728 65832 66676 68256 69312 71136 71318 72048 72162 73008 73944 74061 74892 75088 76171 77064 77976 78052 80106 81054 81133 84474 85557 86697 87776 91152 96064 96216 97344 98592 98748 99856 100014 102752 103968 104234 106704 106808 106977 108072 108243 110916 112338 112632 114076 115596 117078 118579 120159 121536 122018 126711 128288 131664 133352 136512 142272 142636 144096 144324 146016 147888 148122 149784 150021 150176 152342 154128 155952 156104 156351 160212 162108 162266 168507 168948 171114 173394 175552 175617 182304 183027 192432 197184 197496 199712 200028 205504 207936 208468 213408 213616 213954 216144 216486 216697 221832 224676 225264 228152 228513 231192 234156 237158 240318 243399 244036 253422 253669 256576 256671 263328 266704 285272 288192 288648 292032 295776 296244 299568 300042 300352 304684 308256 311904 312208 312702 316711 320424 320931 324216 324532 337014 337896 342228 346788 351234 355737 360477 364608 366054 370747 384864 394992 399424 400056 416936 426816 427232 427908 432288 432972 433394 443664 449352 450063 450528 456304 457026 462384 468312 469053 474316 480636 486798 488072 506844 507338 513342 526656 526851 533408 549081 570544 577296 591552 592488 599136 600084 609368 616512 623808 624416 625404 633422 640848 641862 648432 649064 650091 674028 675792 677521 684456 685539 693576 702468 711474 720954 730197 732108 741494 761007 769728 770013 789984 800112 833872 854464 855816 864576 865944 866788 887328 898704 900126 901056 912608 914052 924768 936624 938106 948632 950133 961272 962793 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22818394128 23122436688 23418878184 24035164452 24368458816 24407016504 24719926972 25305707232 25370451366 25670693394 27414516168 27457893567 29581740864 30424525504 30829915584 31225170912 32046885936 32542688672 33794330544 33827268488 34227591192 34628862528 35128317276 36552688224 36610524756 37079890458 38055677049 41121774252 42729181248 43234852032 45059107392 45636788256 46244873376 46837756368 48070328904 48814033008 49439853944 50611414464 50740902732 51341386788 54829032336 54915787134 55619835687 62450341824 64093771872 65085377344 67588661088 67654536976 68455182384 70256634552 73105376448 73221049512 74159780916 76111354098 80339762659 82243548504 91273576512 92489746752 93675512736 96140657808 97628066016 98879707888 101481805464 102682773576 109658064672 109831574268 111239671374 114167031147 128187543744 135177322176 135309073952 136910364768 140513269104 146442099024 148319561832 152222708196 160679525318 164487097008 166859507061 187351025472 192281315616 195256132032 197759415776 202963610928 205365547152 219316129344 219663148536 222479342748 228334062294 241019287977 270618147904 273820729536 281026538208 292884198048 296639123664 304445416392 321359050636 328974194016 333719014122 384562631232 395518831552 405927221856 410731094304 439326297072 444958685496 456668124588 482038575954 562053076416 585768396096 593278247328 608890832784 642718101272 657948388032 667438028244 723057863931 811854443712 821462188608 878652594144 889917370992 913336249176 964077151908 1186556494656 1217781665568 1285436202544 1334876056488 1446115727862 1757305188288 1779834741984 1826672498352 1928154303816 2169173591793 2435563331136 2570872405088 2669752112976 2892231455724 3559669483968 3653344996704 3856308607632 4338347183586 5141744810176 5339504225952 5784462911448 7306689993408 7712617215264 8676694367172 10679008451904 11568925822896 15425234430528 17353388734344 23137851645792 34706777468688 46275703291584 69413554937376 138827109874752
- Sum of all divisors σ(n): 474636823627680
- Sum of proper divisors (its aliquot sum) s(n): 335809713752928
- 138827109874752 is an abundant number, because the sum of its proper divisors (335809713752928) is greater than itself. Its abundance is 196982603878176
Bases of 138827109874752
- Binary: 111111001000011001101001001000110111100010000002
- Hexadecimal: 0x7E433491BC40
- Base-36: 1D7KAKT5C0
Squares and roots of 138827109874752
- 138827109874752 squared (1388271098747522) is 19272966436176464269127061504
- 138827109874752 cubed (1388271098747523) is 2675610229047477484302942374612947240747008
-
The
square root of 138827109874752 is 11782491.6666531957 -
The
cube root of 138827109874752 is 51779.5288233625
Scales and comparisons
How big is 138827109874752?- 138,827,109,874,752 seconds is equal to 4,414,272 years, 35 weeks, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,827,109,874,752 would take you about eleven million, thirty-five thousand, six hundred eighty-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 138827109874752 cubic inches would be around 4315 feet tall.
Recreational maths with 138827109874752
- 138827109874752 backwards is 257478901728831
- 138827109874752 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138827109874752's digits is 72
- More coming soon!
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"Number 138827109874752 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138827109874752 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138827109874752/
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The information we have on file for 138827109874752 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 138827109874752, math, Factors of 138827109874752, curriculum, school, college, exams, university, Prime factorization of 138827109874752, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred twenty-seven billion, one hundred nine million, eight hundred seventy-four thousand, seven hundred fifty-two.