13002261695727408
13,002,261,695,727,408 is an even composite number composed of five prime numbers multiplied together.
What does the number 13002261695727408 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1200 divisors.
13002261695727408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 13002261695727408:
24 × 39 × 132 × 31 × 1993
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 31 × 199 × 199 × 199)See below for interesting mathematical facts about the number 13002261695727408 from the Numbermatics database.
Names of 13002261695727408
- Cardinal: 13002261695727408 can be written as Thirteen quadrillion, two trillion, two hundred sixty-one billion, six hundred ninety-five million, seven hundred twenty-seven thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.3002261695727408 × 1016
Factors of 13002261695727408
Divisors of 13002261695727408
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 81 93 104 108 117 124 144 156 162 169 186 199 208 216 234 243 248 279 312 324 338 351 372 398 403 432 468 486 496 507 558 597 624 648 676 702 729 744 796 806 837 936 972 1014 1053 1116 1194 1209 1296 1352 1404 1458 1488 1521 1592 1612 1674 1791 1872 1944 2028 2106 2187 2232 2388 2418 2511 2587 2704 2808 2916 3042 3159 3184 3224 3348 3582 3627 3888 4056 4212 4374 4464 4563 4776 4836 5022 5174 5239 5373 5616 5832 6084 6169 6318 6448 6561 6696 7164 7254 7533 7761 8112 8424 8748 9126 9477 9552 9672 10044 10348 10478 10746 10881 11664 12168 12338 12636 13122 13392 13689 14328 14508 15066 15522 15717 16119 16848 17496 18252 18507 18954 19344 19683 20088 20696 20956 21492 21762 22599 23283 24336 24676 25272 26244 27378 28431 28656 29016 30132 31044 31434 32238 32643 33631 34992 36504 37014 37908 39366 39601 40176 41067 41392 41912 42984 43524 45198 46566 47151 48357 49352 50544 52488 54756 55521 56862 58032 60264 62088 62868 64476 65286 67262 67797 69849 73008 74028 75816 78732 79202 80197 82134 83824 85293 85968 87048 90396 93132 94302 96714 97929 98704 100893 104976 109512 111042 113724 118803 120528 123201 124176 125736 128952 130572 134524 135594 139698 141453 145071 148056 151632 157464 158404 160394 164268 166563 170586 174096 180792 186264 188604 193428 195858 201786 203391 209547 219024 222084 227448 237606 240591 246402 251472 255879 257904 261144 269048 271188 279396 282906 290142 293787 296112 302679 314928 316808 320788 328536 333126 341172 356409 361584 369603 372528 377208 386856 391716 403572 406782 419094 424359 435213 444168 454896 475212 481182 492804 499689 511758 514813 522288 538096 542376 558792 565812 580284 587574 605358 610173 628641 633616 641576 657072 666252 682344 712818 721773 739206 754416 773712 783432 807144 813564 838188 848718 870426 881361 888336 908037 950424 962364 985608 999378 1023516 1029626 1042561 1069227 1084752 1108809 1117584 1131624 1160568 1175148 1210716 1220346 1227631 1257282 1273077 1283152 1305639 1332504 1364688 1425636 1443546 1478412 1499067 1544439 1566864 1614288 1627128 1676376 1697436 1740852 1762722 1816074 1885923 1900848 1924728 1971216 1998756 2047032 2059252 2085122 2138454 2165319 2217618 2263248 2321136 2350296 2421432 2440692 2455262 2514564 2546154 2611278 2644083 2665008 2724111 2851272 2887092 2956824 2998134 3088878 3127683 3207681 3254256 3326427 3352752 3394872 3481704 3525444 3632148 3682893 3771846 3819231 3849456 3916917 3997512 4094064 4118504 4170244 4276908 4330638 4435236 4497201 4633317 4700592 4842864 4881384 4910524 5029128 5092308 5222556 5288166 5448222 5657769 5702544 5774184 5913648 5996268 6177756 6255366 6415362 6495957 6652854 6692569 6789744 6963408 7050888 7264296 7365786 7543692 7638462 7833834 7880599 7932249 7995024 8172333 8237008 8340488 8553816 8661276 8870472 8994402 9266634 9383049 9623043 9762768 9821048 10058256 10184616 10445112 10576332 10896444 11048679 11315538 11457693 11548368 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3883590709596 4032959583042 4083624904437 4115942290512 4274247763224 4458937481388 4630435076826 4808528733627 5025999882384 5178120946128 5377279444056 5444833205916 5825386064394 5945249975184 6173913435768 6411371644836 6688406222082 6945652615239 7259777607888 7767181419192 8065919166084 8167249808874 8548495526448 8738079096591 8917874962776 9260870153652 9617057467254 10032609333123 10754558888112 10889666411832 11650772128788 12347826871536 12822743289672 13376812444164 13891305230478 15534362838384 16131838332168 16334499617748 17476158193182 17835749925552 18521740307304 19234114934508 20065218666246 20836957845717 21779332823664 23301544257576 25645486579344 26214237289773 26753624888328 27782610460956 30097827999369 32263676664336 32668999235496 34952316386364 37043480614608 38468229869016 40130437332492 41673915691434 46603088515152 52428474579546 53507249776656 55565220921912 60195655998738 62510873537151 65337998470992 69904632772728 76936459738032 80260874664984 83347831382868 90293483998107 104856949159092 111130441843824 120391311997476 125021747074302 139809265545456 160521749329968 166695662765736 180586967996214 209713898318184 240782623994952 250043494148604 270880451994321 333391325531472 361173935992428 419427796636368 481565247989904 500086988297208 541760903988642 722347871984856 812641355982963 1000173976594416 1083521807977284 1444695743969712 1625282711965926 2167043615954568 3250565423931852 4334087231909136 6501130847863704 13002261695727408
- Sum of all divisors σ(n): 42450721270425600
- Sum of proper divisors (its aliquot sum) s(n): 29448459574698192
- 13002261695727408 is an abundant number, because the sum of its proper divisors (29448459574698192) is greater than itself. Its abundance is 16446197878970784
Bases of 13002261695727408
- Binary: 1011100011000101111100111101011010011010000111001100002
- Hexadecimal: 0x2E317CF5A68730
- Base-36: 3K0X0K96R00
Squares and roots of 13002261695727408
- 13002261695727408 squared (130022616957274082) is 169058809204180171375602242398464
- 13002261695727408 cubed (130022616957274083) is 2198146879240800006441122783993637469975061901312
-
The
square root of 13002261695727408 is 114027460.2704427861 -
The
cube root of 13002261695727408 is 235147.1038880861
Scales and comparisons
How big is 13002261695727408?- 13,002,261,695,727,408 seconds is equal to 413,431,703 years, 14 weeks, 6 days, 20 hours, 16 minutes, 48 seconds.
-
To count from 1 to 13,002,261,695,727,408 would take you about one billion, two hundred forty million, two hundred ninety-five thousand, one hundred nine 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 13002261695727408 cubic inches would be around 19595.6 feet tall.
Recreational maths with 13002261695727408
- 13002261695727408 backwards is 80472759616220031
- The number of decimal digits it has is: 17
- The sum of 13002261695727408's digits is 63
- More coming soon!
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"Number 13002261695727408 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 13002261695727408 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13002261695727408/
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The information we have on file for 13002261695727408 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 13002261695727408, math, Factors of 13002261695727408, curriculum, school, college, exams, university, Prime factorization of 13002261695727408, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two trillion, two hundred sixty-one billion, six hundred ninety-five million, seven hundred twenty-seven thousand, four hundred eight.