13585200156072864
13,585,200,156,072,864 is an even composite number composed of five prime numbers multiplied together.
13585200156072864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13585200156072864:
25 × 34 × 11 × 29 × 16430105843
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 29 × 16430105843)See below for interesting mathematical facts about the number 13585200156072864 from the Numbermatics database.
Names of 13585200156072864
- Cardinal: 13585200156072864 can be written as Thirteen quadrillion, five hundred eighty-five trillion, two hundred billion, one hundred fifty-six million, seventy-two thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.3585200156072864 × 1016
Factors of 13585200156072864
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 16430105888
Divisors of 13585200156072864
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 32 33 36 44 48 54 58 66 72 81 87 88 96 99 108 116 132 144 162 174 176 198 216 232 261 264 288 297 319 324 348 352 396 432 464 522 528 594 638 648 696 783 792 864 891 928 957 1044 1056 1188 1276 1296 1392 1566 1584 1782 1914 2088 2349 2376 2552 2592 2784 2871 3132 3168 3564 3828 4176 4698 4752 5104 5742 6264 7128 7656 8352 8613 9396 9504 10208 11484 12528 14256 15312 17226 18792 22968 25056 25839 28512 30624 34452 37584 45936 51678 68904 75168 91872 103356 137808 206712 275616 413424 826848 16430105843 32860211686 49290317529 65720423372 98580635058 131440846744 147870952587 180731164273 197161270116 262881693488 295741905174 361462328546 394322540232 443612857761 476473069447 525763386976 542193492819 591483810348 722924657092 788645080464 887225715522 952946138894 1084386985638 1182967620696 1330838573283 1429419208341 1445849314184 1577290160928 1626580478457 1774451431044 1905892277788 2168773971276 2365935241392 2661677146566 2858838416682 2891698628368 3253160956914 3548902862088 3811784555576 4288257625023 4337547942552 4731870482784 4879741435371 5241203763917 5323354293132 5717676833364 5783397256736 6506321913828 7097805724176 7623569111152 8576515250046 8675095885104 9759482870742 10482407527834 10646708586264 11435353666728 12864772875069 13012643827656 14195611448352 14639224306113 15247138222304 15723611291751 17153030500092 17350191770208 19518965741484 20964815055668 21293417172528 22870707333456 25729545750138 26025287655312 29278448612226 31447222583502 34306061000184 38594318625207 39037931482968 41929630111336 42586834345056 45741414666912 47170833875253 51459091500276 52050575310624 58556897224452 62894445167004 68612122000368 77188637250414 78075862965936 83859260222672 94341667750506 102918183000552 117113794448904 125788890334008 137224244000736 141512501625759 154377274500828 156151725931872 167718520445344 188683335501012 205836366001104 234227588897808 251577780668016 283025003251518 308754549001656 377366671002024 411672732002208 424537504877277 468455177795616 503155561336032 566050006503036 617509098003312 754733342004048 849075009754554 1132100013006072 1235018196006624 1509466684008096 1698150019509108 2264200026012144 3396300039018216 4528400052024288 6792600078036432 13585200156072864
- Sum of all divisors σ(n): 45088810865572320
- Sum of proper divisors (its aliquot sum) s(n): 31503610709499456
- 13585200156072864 is an abundant number, because the sum of its proper divisors (31503610709499456) is greater than itself. Its abundance is 17918410553426592
Bases of 13585200156072864
- Binary: 1100000100001110101010111001011000000101011011101000002
- Hexadecimal: 0x3043AAE5815BA0
- Base-36: 3PRJUSLGA00
Squares and roots of 13585200156072864
- 13585200156072864 squared (135852001560728642) is 184557663280562168384338877162496
- 13585200156072864 cubed (135852001560728643) is 2507252796003536251279893663821961964494944108544
-
The
square root of 13585200156072864 is 116555566.8171746485 -
The
cube root of 13585200156072864 is 238610.0218360651
Scales and comparisons
How big is 13585200156072864?- 13,585,200,156,072,864 seconds is equal to 431,967,343 years, 9 weeks, 2 days, 12 hours, 14 minutes, 24 seconds.
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To count from 1 to 13,585,200,156,072,864 would take you about one billion, two hundred ninety-five million, nine hundred two thousand and twenty-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 13585200156072864 cubic inches would be around 19884.2 feet tall.
Recreational maths with 13585200156072864
- 13585200156072864 backwards is 46827065100258531
- The number of decimal digits it has is: 17
- The sum of 13585200156072864's digits is 63
- More coming soon!
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