13210013726286624
13,210,013,726,286,624 is an even composite number composed of six prime numbers multiplied together.
13210013726286624 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13210013726286624:
25 × 32 × 13 × 31 × 53 × 2147483647
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 53 × 2147483647)See below for interesting mathematical facts about the number 13210013726286624 from the Numbermatics database.
Names of 13210013726286624
- Cardinal: 13210013726286624 can be written as Thirteen quadrillion, two hundred ten trillion, thirteen billion, seven hundred twenty-six million, two hundred eighty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.3210013726286624 × 1016
Factors of 13210013726286624
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2147483749
Divisors of 13210013726286624
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 53 62 72 78 93 96 104 106 117 124 144 156 159 186 208 212 234 248 279 288 312 318 372 403 416 424 468 477 496 558 624 636 689 744 806 848 936 954 992 1116 1209 1248 1272 1378 1488 1612 1643 1696 1872 1908 2067 2232 2418 2544 2756 2976 3224 3286 3627 3744 3816 4134 4464 4836 4929 5088 5512 6201 6448 6572 7254 7632 8268 8928 9672 9858 11024 12402 12896 13144 14508 14787 15264 16536 19344 19716 21359 22048 24804 26288 29016 29574 33072 38688 39432 42718 49608 52576 58032 59148 64077 66144 78864 85436 99216 116064 118296 128154 157728 170872 192231 198432 236592 256308 341744 384462 473184 512616 683488 768924 1025232 1537848 2050464 3075696 6151392 2147483647 4294967294 6442450941 8589934588 12884901882 17179869176 19327352823 25769803764 27917287411 34359738352 38654705646 51539607528 55834574822 66571993057 68719476704 77309411292 83751862233 103079215056 111669149644 113816633291 133143986114 154618822584 167503724466 199715979171 206158430112 223338299288 227633266582 251255586699 266287972228 309237645168 335007448932 341449899873 399431958342 446676598576 455266533164 502511173398 532575944456 599147937513 618475290336 670014897864 682899799746 798863916684 865435909741 893353197152 910533066328 1005022346796 1024349699619 1065151888912 1198295875026 1340029795728 1365799599492 1479616232783 1597727833368 1730871819482 1821066132656 2010044693592 2048699399238 2130303777824 2396591750052 2596307729223 2680059591456 2731599198984 2959232465566 3195455666736 3461743638964 3528315632021 3642132265312 4020089387184 4097398798476 4438848698349 4793183500104 5192615458446 5463198397968 5918464931132 6390911333472 6923487277928 7056631264042 7788923187669 8040178774368 8194797596952 8877697396698 9586367000208 10385230916892 10584946896063 10926396795936 11836929862264 13316546095047 13846974555856 14113262528084 15577846375338 16389595193904 17755394793396 19172734000416 20770461833784 21169893792126 23673859724528 26633092190094 27693949111712 28226525056168 31155692750676 31754840688189 32779190387808 35510789586792 41540923667568 42339787584252 45868103216273 47347719449056 53266184380188 56453050112336 62311385501352 63509681376378 71021579173584 83081847335136 84679575168504 91736206432546 106532368760376 112906100224672 124622771002704 127019362752756 137604309648819 142043158347168 169359150337008 183472412865092 213064737520752 249245542005408 254038725505512 275208619297638 338718300674016 366944825730184 412812928946457 426129475041504 508077451011024 550417238595276 733889651460368 825625857892914 1016154902022048 1100834477190552 1467779302920736 1651251715785828 2201668954381104 3302503431571656 4403337908762208 6605006863143312 13210013726286624
- Sum of all divisors σ(n): 42548626093768704
- Sum of proper divisors (its aliquot sum) s(n): 29338612367482080
- 13210013726286624 is an abundant number, because the sum of its proper divisors (29338612367482080) is greater than itself. Its abundance is 16128598641195456
Bases of 13210013726286624
- Binary: 1011101110111001101111111111111010001000100011001000002
- Hexadecimal: 0x2EEE6FFFA22320
- Base-36: 3M2K4J06MG0
Squares and roots of 13210013726286624
- 13210013726286624 squared (132100137262866242) is 174504462648681017024484201317376
- 13210013726286624 cubed (132100137262866243) is 2305206346887347717791291525296310002021367578624
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The
square root of 13210013726286624 is 114934823.8189219307 -
The
cube root of 13210013726286624 is 236392.8969947427
Scales and comparisons
How big is 13210013726286624?- 13,210,013,726,286,624 seconds is equal to 420,037,575 years, 12 weeks, 3 days, 13 hours, 50 minutes, 24 seconds.
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To count from 1 to 13,210,013,726,286,624 would take you about one billion, two hundred sixty million, one hundred twelve thousand, seven hundred twenty-five 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 13210013726286624 cubic inches would be around 19699.4 feet tall.
Recreational maths with 13210013726286624
- 13210013726286624 backwards is 42668262731001231
- The number of decimal digits it has is: 17
- The sum of 13210013726286624's digits is 54
- More coming soon!
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