13105901403148736
13,105,901,403,148,736 is an even composite number composed of six prime numbers multiplied together.
13105901403148736 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13105901403148736:
26 × 72 × 13 × 17 × 19991 × 945941
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 17 × 19991 × 945941)See below for interesting mathematical facts about the number 13105901403148736 from the Numbermatics database.
Names of 13105901403148736
- Cardinal: 13105901403148736 can be written as Thirteen quadrillion, one hundred five trillion, nine hundred one billion, four hundred three million, one hundred forty-eight thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.3105901403148736 × 1016
Factors of 13105901403148736
Divisors of 13105901403148736
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 64 68 91 98 104 112 119 136 182 196 208 221 224 238 272 364 392 416 442 448 476 544 637 728 784 832 833 884 952 1088 1274 1456 1547 1568 1666 1768 1904 2548 2912 3094 3136 3332 3536 3808 5096 5824 6188 6664 7072 7616 10192 10829 12376 13328 14144 19991 20384 21658 24752 26656 39982 40768 43316 49504 53312 79964 86632 99008 139937 159928 173264 259883 279874 319856 339847 346528 519766 559748 639712 679694 693056 945941 979559 1039532 1119496 1279424 1359388 1819181 1891882 1959118 2079064 2238992 2378929 2718776 3638362 3783764 3918236 4158128 4418011 4477984 4757858 5437552 6621587 7276724 7567528 7836472 8316256 8836022 8955968 9515716 10875104 12297233 12734267 13243174 14553448 15135056 15672944 16080997 16632512 16652503 17672044 19031432 21750208 24594466 25468534 26486348 29106896 30270112 30926077 31345888 32161994 33305006 35344088 38062864 46351109 49188932 50937068 52972696 58213792 60540224 61852154 62691776 64323988 66610012 70688176 76125728 86080631 92702218 98377864 101874136 105945392 112566979 116427584 123704308 128647976 133220024 141376352 152251456 172161262 185404436 196755728 203748272 209052961 211890784 216482539 225133958 247408616 257295952 266440048 282752704 344322524 370808872 393511456 407496544 418105922 423781568 432965078 450267916 494817232 514591904 532880096 602564417 688645048 741617744 787022912 787968853 814993088 836211844 865930156 900535832 989634464 1029183808 1065760192 1205128834 1377290096 1463370727 1483235488 1575937706 1672423688 1731860312 1801071664 1979268928 2410257668 2754580192 2926741454 2966470976 3151875412 3344847376 3463720624 3602143328 4820515336 5509160384 5853482908 6303750824 6689694752 6927441248 7204286656 9641030672 10243595089 11706965816 12607501648 13379389504 13854882496 18910306531 19282061344 20487190178 23413931632 25215003296 37820613062 38564122688 40974380356 46827863264 50430006592 75641226124 81948760712 93655726528 132372145717 151282452248 163897521424 245833984903 264744291434 302564904496 321475211027 327795042848 491667969806 529488582868 605129808992 642950422054 655590085696 926605020019 983335939612 1058977165736 1210259617984 1285900844108 1720837894321 1853210040038 1966671879224 2117954331472 2250326477189 2571801688216 3441675788642 3706420080076 3933343758448 4179177743351 4235908662944 4500652954378 5143603376432 6883351577284 7412840160152 7866687516896 8358355486702 8471817325888 9001305908756 10287206752864 12045865260247 13766703154568 14825680320304 15733375033792 15752285340323 16716710973404 18002611817512 20574413505728 24091730520494 27533406309136 29254244203457 29651360640608 31504570680646 33433421946808 36005223635024 48183461040988 55066812618272 58508488406914 59302721281216 63009141361292 66866843893616 72010447270048 96366922081976 110133625236544 117016976813828 126018282722584 133733687787232 144020894540096 192733844163952 204779709424199 234033953627656 252036565445168 267467375574464 385467688327904 409559418848398 468067907255312 504073130890336 770935376655808 819118837696796 936135814510624 1008146261780672 1638237675393592 1872271629021248 3276475350787184 6552950701574368 13105901403148736
- Sum of all divisors σ(n): 34498472744457792
- Sum of proper divisors (its aliquot sum) s(n): 21392571341309056
- 13105901403148736 is an abundant number, because the sum of its proper divisors (21392571341309056) is greater than itself. Its abundance is 8286669938160320
Bases of 13105901403148736
- Binary: 1011101000111110111111011101011001100010010001110000002
- Hexadecimal: 0x2E8FBF759891C0
- Base-36: 3L1NJZJ36BK
Squares and roots of 13105901403148736
- 13105901403148736 squared (131059014031487362) is 171764651589056007111175338397696
- 13105901403148736 cubed (131059014031487363) is 2251130588272362890262680678759051553499407712256
-
The
square root of 13105901403148736 is 114481008.9191597577 -
The
cube root of 13105901403148736 is 235770.2290807795
Scales and comparisons
How big is 13105901403148736?- 13,105,901,403,148,736 seconds is equal to 416,727,125 years, 21 weeks, 13 hours, 18 minutes, 56 seconds.
-
To count from 1 to 13,105,901,403,148,736 would take you about one billion, two hundred fifty million, one hundred eighty-one thousand, three hundred seventy-six 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 13105901403148736 cubic inches would be around 19647.5 feet tall.
Recreational maths with 13105901403148736
- 13105901403148736 backwards is 63784130410950131
- 13105901403148736 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13105901403148736's digits is 56
- More coming soon!
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