13007724165168
13,007,724,165,168 is an even composite number composed of seven prime numbers multiplied together.
13007724165168 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13007724165168:
24 × 3 × 292 × 31 × 71 × 281 × 521
(2 × 2 × 2 × 2 × 3 × 29 × 29 × 31 × 71 × 281 × 521)See below for interesting mathematical facts about the number 13007724165168 from the Numbermatics database.
Names of 13007724165168
- Cardinal: 13007724165168 can be written as Thirteen trillion, seven billion, seven hundred twenty-four million, one hundred sixty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3007724165168 × 1013
Factors of 13007724165168
Divisors of 13007724165168
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 31 48 58 62 71 87 93 116 124 142 174 186 213 232 248 281 284 348 372 426 464 496 521 562 568 696 744 841 843 852 899 1042 1124 1136 1392 1488 1563 1682 1686 1704 1798 2059 2084 2201 2248 2523 2697 3126 3364 3372 3408 3596 4118 4168 4402 4496 5046 5394 6177 6252 6603 6728 6744 7192 8149 8236 8336 8711 8804 10092 10788 12354 12504 13206 13456 13488 14384 15109 16151 16298 16472 17422 17608 19951 20184 21576 24447 24708 25008 26071 26133 26412 30218 32302 32596 32944 34844 35216 36991 39902 40368 43152 45327 48453 48894 49416 52142 52266 52824 59711 59853 60436 63829 64604 65192 69688 73982 78213 79804 90654 96906 97788 98832 104284 104532 105648 110973 119422 119706 120872 127658 129208 130384 139376 146401 147964 156426 159608 179133 181308 191487 193812 195576 208568 209064 221946 236321 238844 239412 241744 252619 255316 258416 292802 295928 312852 319216 358266 362616 382974 387624 391152 417136 418128 438161 439203 443892 468379 472642 477688 478824 505238 510632 578579 585604 591856 618481 625704 708963 716532 725232 757857 765948 775248 876322 878406 887784 936758 945284 955376 957648 1010476 1021264 1072739 1146721 1157158 1171208 1236962 1251408 1314483 1405137 1417926 1433064 1515714 1531896 1735737 1752644 1756812 1775568 1851041 1855443 1873516 1890568 2020952 2145478 2293442 2314316 2342416 2473924 2628966 2810274 2835852 2866128 3031428 3063792 3218217 3440163 3471474 3505288 3513624 3702082 3710886 3747032 3781136 4041904 4245629 4290956 4538431 4586884 4628632 4947848 5257932 5553123 5620548 5671704 6062856 6436434 6880326 6942948 7010576 7027248 7325951 7404164 7421772 7494064 8491258 8581912 9076862 9173768 9257264 9895696 10394471 10515864 11106246 11241096 11343408 12125712 12736887 12872868 13582991 13615293 13760652 13885896 14651902 14808328 14843544 16778791 16982516 17163824 17935949 18153724 18347536 20788942 21031728 21977853 22212492 22482192 25473774 25745736 27165982 27230586 27521304 27771792 29303804 29616656 29687088 31109431 31183413 33254909 33557582 33965032 35871898 36307448 40748973 41577884 43955706 44424984 50336373 50947548 51491472 53807847 54331964 54461172 55042608 58607608 62218862 62366826 66509818 67115164 67930064 71743796 72614896 81497946 83155768 87911412 88849968 93328293 99764727 100672746 101895096 107615694 108663928 108922344 117215216 123123241 124437724 124733652 131614499 133019636 134230328 143487592 162995892 166311536 175822824 186656586 199529454 201345492 203790192 215231388 217327856 217844688 246246482 248875448 249467304 263228998 266039272 268460656 286975184 301439659 322228601 325991784 351645648 369369723 373313172 394843497 399058908 402690984 430462776 492492964 497750896 498934608 520142521 526457996 532078544 602879318 644457202 651983568 738739446 746626344 789686994 798117816 805381968 860925552 904318977 964392361 966685803 984985928 1040285042 1052915992 1205758636 1288914404 1477478892 1493252688 1560427563 1579373988 1596235632 1808637954 1928784722 1933371606 1969971856 2080570084 2105831984 2411517272 2577828808 2893177083 2954957784 3120855126 3158747976 3617275908 3816820471 3857569444 3866743212 4161140168 4823034544 5155657616 5786354166 5909915568 6241710252 6317495952 7234551816 7633640942 7715138888 7733486424 8322280336 8741750111 9344629429 11450461413 11572708332 12483420504 14469103632 15267281884 15430277776 15466972848 17483500222 18689258858 22900922826 23145416664 24966841008 26225250333 28033888287 30534563768 34967000444 37378517716 45801845652 46290833328 52450500666 56067776574 61069127536 69934000888 74757035432 91603691304 104901001332 112135553148 139868001776 149514070864 183207382608 209802002664 224271106296 270994253441 419604005328 448542212592 541988506882 812982760323 1083977013764 1625965520646 2167954027528 3251931041292 4335908055056 6503862082584 13007724165168
- Sum of all divisors σ(n): 36630422360064
- Sum of proper divisors (its aliquot sum) s(n): 23622698194896
- 13007724165168 is an abundant number, because the sum of its proper divisors (23622698194896) is greater than itself. Its abundance is 10614974029728
Bases of 13007724165168
- Binary: 101111010100100110001100011100111000001100002
- Hexadecimal: 0xBD498C73830
- Base-36: 4LZNZ49IO
Squares and roots of 13007724165168
- 13007724165168 squared (130077241651682) is 169200887957095542544468224
- 13007724165168 cubed (130077241651683) is 2200918479047394921146256955546903621632
-
The
square root of 13007724165168 is 3606622.2653846077 -
The
cube root of 13007724165168 is 23518.0029032525
Scales and comparisons
How big is 13007724165168?- 13,007,724,165,168 seconds is equal to 413,605 years, 20 weeks, 3 days, 32 minutes, 48 seconds.
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To count from 1 to 13,007,724,165,168 would take you about one million, thirty-four thousand and thirteen 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 13007724165168 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13007724165168
- 13007724165168 backwards is 86156142770031
- The number of decimal digits it has is: 14
- The sum of 13007724165168's digits is 51
- More coming soon!
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