138006120856656
138,006,120,856,656 is an even composite number composed of six prime numbers multiplied together.
What does the number 138006120856656 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
138006120856656 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138006120856656:
24 × 3 × 132 × 37 × 877 × 524287
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 37 × 877 × 524287)See below for interesting mathematical facts about the number 138006120856656 from the Numbermatics database.
Names of 138006120856656
- Cardinal: 138006120856656 can be written as One hundred thirty-eight trillion, six billion, one hundred twenty million, eight hundred fifty-six thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.38006120856656 × 1014
Factors of 138006120856656
Divisors of 138006120856656
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 208 222 296 312 338 444 481 507 592 624 676 877 888 962 1014 1352 1443 1754 1776 1924 2028 2631 2704 2886 3508 3848 4056 5262 5772 6253 7016 7696 8112 10524 11401 11544 12506 14032 18759 21048 22802 23088 25012 32449 34203 37518 42096 45604 50024 64898 68406 75036 91208 97347 100048 129796 136812 148213 150072 182416 194694 259592 273624 296426 300144 389388 421837 444639 519184 524287 547248 592852 778776 843674 889278 1048574 1185704 1265511 1557552 1572861 1687348 1778556 2097148 2371408 2531022 3145722 3374696 3557112 4194296 5062044 5483881 6291444 6749392 6815731 7114224 8388592 10124088 10967762 12582888 13631462 16451643 19398619 20248176 20447193 21935524 25165776 27262924 32903286 38797238 40894386 43871048 54525848 58195857 65806572 77594476 81788772 87742096 88604503 109051696 116391714 131613144 155188952 163577544 177209006 232783428 252182047 263226288 265813509 310377904 327155088 354418012 459799699 465566856 504364094 531627018 708836024 756546141 919599398 931133712 1008728188 1063254036 1379399097 1417672048 1513092282 1839198796 2017456376 2126508072 2758798194 3026184564 3278366611 3678397592 4034912752 4253016144 5517596388 5977396087 6052369128 6556733222 7356795184 9835099833 11035192776 11954792174 12104738256 13113466444 17012588863 17932188261 19670199666 22070385552 23909584348 26226932888 34025177726 35864376522 39340399332 47819168696 51037766589 52453865776 68050355452 71728753044 77706149131 78680798664 95638337392 102075533178 136100710904 143457506088 155412298262 157361597328 204151066356 221163655219 233118447393 272201421808 286915012176 310824596524 408302132712 442327310438 466236894786 621649193048 663490965657 816604265424 884654620876 932473789572 1243298386096 1326981931314 1769309241752 1864947579144 2653963862628 2875127517847 3538618483504 3729895158288 5307927725256 5750255035694 8625382553541 10615855450512 11500510071388 17250765107082 23001020142776 34501530214164 46002040285552 69003060428328 138006120856656
- Sum of all divisors σ(n): 396936288927744
- Sum of proper divisors (its aliquot sum) s(n): 258930168071088
- 138006120856656 is an abundant number, because the sum of its proper divisors (258930168071088) is greater than itself. Its abundance is 120924047214432
Bases of 138006120856656
- Binary: 111110110000100000011011100111101111100010100002
- Hexadecimal: 0x7D840DCF7C50
- Base-36: 1CX34X58PC
Squares and roots of 138006120856656
- 138006120856656 squared (1380061208566562) is 19045689393901942203299502336
- 138006120856656 cubed (1380061208566563) is 2628421712293162797364077715432034793148416
-
The
square root of 138006120856656 is 11747600.6425421187 -
The
cube root of 138006120856656 is 51677.2565326383
Scales and comparisons
How big is 138006120856656?- 138,006,120,856,656 seconds is equal to 4,388,167 years, 39 weeks, 4 days, 11 hours, 17 minutes, 36 seconds.
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To count from 1 to 138,006,120,856,656 would take you about ten million, nine hundred seventy thousand, four hundred nineteen 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 138006120856656 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138006120856656
- 138006120856656 backwards is 656658021600831
- The number of decimal digits it has is: 15
- The sum of 138006120856656's digits is 57
- More coming soon!
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