13428640472948415
13,428,640,472,948,415 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 13428640472948415 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
13428640472948415 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13428640472948415:
38 × 5 × 11 × 132 × 17 × 592 × 612
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 17 × 59 × 59 × 61 × 61)See below for interesting mathematical facts about the number 13428640472948415 from the Numbermatics database.
Names of 13428640472948415
- Cardinal: 13428640472948415 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, six hundred forty billion, four hundred seventy-two million, nine hundred forty-eight thousand, four hundred fifteen.
Scientific notation
- Scientific notation: 1.3428640472948415 × 1016
Factors of 13428640472948415
Divisors of 13428640472948415
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 9 11 13 15 17 27 33 39 45 51 55 59 61 65 81 85 99 117 135 143 153 165 169 177 183 187 195 221 243 255 295 297 305 351 405 429 459 495 507 531 549 561 585 649 663 671 715 729 765 767 793 845 885 891 915 935 1003 1037 1053 1105 1215 1287 1377 1485 1521 1593 1647 1683 1755 1859 1947 1989 2013 2145 2187 2295 2301 2379 2431 2535 2655 2673 2745 2805 2873 3009 3111 3159 3245 3315 3355 3481 3599 3645 3721 3835 3861 3965 4131 4455 4563 4779 4941 5015 5049 5185 5265 5577 5841 5967 6039 6435 6561 6885 6903 7137 7293 7605 7965 8019 8235 8415 8437 8619 8723 9027 9295 9333 9477 9735 9945 9971 10065 10309 10443 10797 10935 11033 11163 11407 11505 11583 11895 12155 12393 13039 13365 13481 13689 14337 14365 14823 15045 15147 15555 15795 16731 17405 17523 17901 17995 18117 18605 19305 20655 20709 21411 21879 22815 23895 24057 24705 25245 25311 25857 26169 27081 27885 27999 28431 29205 29835 29913 30195 30927 31329 31603 32391 32805 33099 33489 34221 34515 34749 35685 36465 37179 38291 39117 39589 40095 40443 40931 41067 42185 43011 43095 43615 44469 45135 45253 45441 46665 46787 47385 48373 49855 50193 51545 52215 52569 53703 53985 54351 55165 55815 57035 57915 59177 61183 61965 62127 63257 64233 65195 65637 67405 68445 71685 72171 74115 75735 75933 77571 78507 81243 83655 83997 85293 87615 89505 89739 90585 92781 93987 94809 97173 99297 100467 102663 103545 104247 107055 109395 109681 111537 113399 114873 117351 118767 120285 121329 122793 123201 126555 129033 129285 130845 133407 135405 135759 136323 139995 140361 142155 143429 145119 148291 149565 150579 154635 156645 157707 158015 161109 161955 163053 165495 167445 169507 171105 173745 175253 177531 183549 185895 186381 189771 191455 192699 195585 196911 197945 202215 204655 205335 212341 215055 219539 222345 226265 227205 227799 232713 233935 235521 241865 243729 250965 251991 262845 268515 269217 271755 278343 281961 284427 291519 295885 297891 301401 305915 307989 310635 312741 316285 321165 328185 329043 340197 344619 352053 356301 360855 363987 368379 369603 379665 387099 387855 392535 400221 406215 407277 408969 419985 421083 426465 430287 435357 444873 448695 451737 463905 469935 473121 474045 483327 485865 489159 496485 497783 502335 508521 513315 514657 521235 525759 532103 532593 548405 550647 557685 559143 566995 569313 574365 578097 586755 588289 590733 593835 606645 608231 613965 616005 628849 637023 645165 650947 658617 667035 673013 678795 681615 683397 695827 698139 701805 706563 717145 725595 731187 741455 752895 755973 769301 788535 795379 805545 807651 815265 822341 835029 845883 847535 853281 874557 876265 887655 893673 904203 917745 923967 931905 938223 948855 963495 984555 987129 1020591 1033857 1056159 1061705 1068903 1091961 1097695 1105137 1108809 1138995 1163565 1177605 1218645 1221831 1226907 1259955 1263249 1290861 1306071 1334619 1346085 1355211 1391715 1409805 1419363 1422135 1449981 1457595 1467477 1489455 1493349 1507005 1525563 1539945 1543971 1563705 1577277 1596309 1597779 1645215 1651941 1677429 1700985 1707939 1723095 1734291 1760265 1764867 1772199 1781505 1819935 1824693 1841895 1848015 1864577 1886547 1911069 1927783 1935495 1952841 1975851 2001105 2019039 2036385 2044845 2050191 2087481 2094417 2105415 2119689 2151435 2176785 2193561 2224365 2258685 2267919 2307903 2335751 2365605 2386137 2414929 2416635 2422953 2445795 2467023 2488915 2505087 2537649 2542605 2559843 2573285 2623671 2628795 2660515 2662965 2681019 2712609 2753235 2760433 2771901 2795715 2846565 2854007 2890485 2941445 2953665 2961387 3041155 3061773 3101571 3144245 3168477 3185115 3206709 3254735 3275883 3293085 3315411 3365065 3416985 3479135 3490695 3532815 3609797 3655935 3665493 3732163 3779865 3789747 3846505 3872583 3918213 3976895 4003857 4038255 4065633 4111705 4175145 4229415 4258089 4266405 4372785 4402431 4468365 4480047 4521015 4576689 4619835 4631913 4691115 4731831 4788927 4793337 4935645 4955823 5032287 5102955 5123817 5169285 5202873 5280795 5294601 5316597 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29256297326685 31302192244635 33157136970243 38258234965665 44028329419503 45214277686695 45520815162537 52661335188033 55261894950405 60763079063115 68864822938197 71810911620045 73380549032505 75868025270895 79459411082535 81385699836051 87768891980055 93906576733905 99471410910729 114774704896995 135642833060085 157984005564099 165785684851215 206594468814591 220141647097515 227604075812685 244157099508153 263306675940165 298414232732187 344324114690985 406928499180255 497357054553645 789920027820495 895242698196561 1032972344072955 1220785497540765 1492071163660935 2685728094589683 4476213490982805 13428640472948415
- Sum of all divisors σ(n): 31264939391843664
- Sum of proper divisors (its aliquot sum) s(n): 17836298918895249
- 13428640472948415 is an abundant number, because the sum of its proper divisors (17836298918895249) is greater than itself. Its abundance is 4407658445946834
Bases of 13428640472948415
- Binary: 1011111011010101000111000000010011010011011110101111112
- Hexadecimal: 0x2FB5470134DEBF
- Base-36: 3O8209ODCXR
Squares and roots of 13428640472948415
- 13428640472948415 squared (134286404729484152) is 180328384951708230891403251012225
- 13428640472948415 cubed (134286404729484153) is 2421565048583931060097792695216009816078959373375
-
The
square root of 13428640472948415 is 115882010.9980337501 -
The
cube root of 13428640472948415 is 237689.8749618225
Scales and comparisons
How big is 13428640472948415?- 13,428,640,472,948,415 seconds is equal to 426,989,229 years, 27 weeks, 3 days, 20 minutes, 15 seconds.
-
To count from 1 to 13,428,640,472,948,415 would take you about one billion, two hundred eighty million, nine hundred sixty-seven thousand, six hundred eighty-eight 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 13428640472948415 cubic inches would be around 19807.5 feet tall.
Recreational maths with 13428640472948415
- 13428640472948415 backwards is 51484927404682431
- The number of decimal digits it has is: 17
- The sum of 13428640472948415's digits is 72
- More coming soon!
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The information we have on file for 13428640472948415 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!
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