138725907968
138,725,907,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 138725907968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 240 divisors.
138725907968 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 138725907968:
29 × 232 × 37 × 109 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 23 × 23 × 37 × 109 × 127)See below for interesting mathematical facts about the number 138725907968 from the Numbermatics database.
Names of 138725907968
- Cardinal: 138725907968 can be written as One hundred thirty-eight billion, seven hundred twenty-five million, nine hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38725907968 × 1011
Factors of 138725907968
Divisors of 138725907968
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 8 16 23 32 37 46 64 74 92 109 127 128 148 184 218 254 256 296 368 436 508 512 529 592 736 851 872 1016 1058 1184 1472 1702 1744 2032 2116 2368 2507 2921 2944 3404 3488 4033 4064 4232 4699 4736 5014 5842 5888 6808 6976 8066 8128 8464 9398 9472 10028 11684 11776 13616 13843 13952 16132 16256 16928 18796 18944 19573 20056 23368 27232 27686 27904 32264 32512 33856 37592 39146 40112 46736 54464 55372 55808 57661 64528 65024 67183 67712 75184 78292 80224 92759 93472 108077 108928 110744 115322 129056 134366 135424 150368 156584 160448 185518 186944 216154 217856 221488 230644 258112 268732 270848 300736 313168 318389 320896 371036 373888 432308 435712 442976 461288 512191 516224 537464 601472 626336 636778 641792 742072 747776 864616 885952 922576 1024382 1032448 1074928 1202944 1252672 1273556 1283584 1484144 1495552 1729232 1771904 1845152 2048764 2064896 2133457 2149856 2405888 2485771 2505344 2547112 2968288 3458464 3543808 3690304 4097528 4266914 4299712 4971542 5010688 5094224 5936576 6916928 7087616 7322947 7380608 8195056 8533828 8599424 9943084 10021376 10188448 11780393 11873152 13833856 14645894 14761216 16390112 17067656 17198848 19886168 20376896 23560786 23746304 27667712 29291788 29522432 32780224 34135312 34397696 39772336 40753792 47121572 47492608 55335424 58583576 65560448 68270624 79544672 81507584 94243144 117167152 131120896 136541248 159089344 163015168 188486288 234334304 262241792 270949039 273082496 318178688 376972576 468668608 541898078 546164992 636357376 753945152 937337216 1083796156 1092329984 1272714752 1507890304 1874674432 2167592312 3015780608 3749348864 4335184624 6031561216 8670369248 17340738496 34681476992 69362953984 138725907968
- Sum of all divisors σ(n): 302682293760
- Sum of proper divisors (its aliquot sum) s(n): 163956385792
- 138725907968 is an abundant number, because the sum of its proper divisors (163956385792) is greater than itself. Its abundance is 25230477824
Bases of 138725907968
- Binary: 100000010011001011010101011110000000002
- Hexadecimal: 0x204CB55E00
- Base-36: 1RQ9TNNK
Squares and roots of 138725907968
- 138725907968 squared (1387259079682) is 19244877541546005889024
- 138725907968 cubed (1387259079683) is 2669763110683941309398729445343232
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The
square root of 138725907968 is 372459.2702135363 -
The
cube root of 138725907968 is 5176.6943719257
Scales and comparisons
How big is 138725907968?- 138,725,907,968 seconds is equal to 4,411 years, 2 weeks, 5 days, 22 hours, 26 minutes, 8 seconds.
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To count from 1 to 138,725,907,968 would take you about eight thousand, eight hundred twenty-two 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 138725907968 cubic inches would be around 431.4 feet tall.
Recreational maths with 138725907968
- 138725907968 backwards is 869709527831
- The number of decimal digits it has is: 12
- The sum of 138725907968's digits is 65
- More coming soon!
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