138072868128
138,072,868,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 138072868128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
138072868128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138072868128:
25 × 32 × 13 × 31 × 1189627
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 1189627)See below for interesting mathematical facts about the number 138072868128 from the Numbermatics database.
Names of 138072868128
- Cardinal: 138072868128 can be written as One hundred thirty-eight billion, seventy-two million, eight hundred sixty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38072868128 × 1011
Factors of 138072868128
Divisors of 138072868128
- Number of divisors d(n): 144
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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 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 116064 1189627 2379254 3568881 4758508 7137762 9517016 10706643 14275524 15465151 19034032 21413286 28551048 30930302 36878437 38068064 42826572 46395453 57102096 61860604 73756874 85653144 92790906 110635311 114204192 123721208 139186359 147513748 171306288 185581812 221270622 247442416 278372718 295027496 331905933 342612576 371163624 442541244 479419681 494884832 556745436 590054992 663811866 742327248 885082488 958839362 1113490872 1180109984 1327623732 1438259043 1484654496 1770164976 1917678724 2226981744 2655247464 2876518086 3540329952 3835357448 4314777129 4453963488 5310494928 5753036172 7670714896 8629554258 10620989856 11506072344 15341429792 17259108516 23012144688 34518217032 46024289376 69036434064 138072868128
- Sum of all divisors σ(n): 436488788736
- Sum of proper divisors (its aliquot sum) s(n): 298415920608
- 138072868128 is an abundant number, because the sum of its proper divisors (298415920608) is greater than itself. Its abundance is 160343052480
Bases of 138072868128
- Binary: 100000001001011100100011000101001000002
- Hexadecimal: 0x2025C8C520
- Base-36: 1RFH0QW0
Squares and roots of 138072868128
- 138072868128 squared (1380728681282) is 19064116913092078224384
- 138072868128 cubed (1380728681283) is 2632237300518136953396832426033152
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The
square root of 138072868128 is 371581.5766800071 -
The
cube root of 138072868128 is 5168.5586501145
Scales and comparisons
How big is 138072868128?- 138,072,868,128 seconds is equal to 4,390 years, 15 weeks, 14 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,072,868,128 would take you about eight thousand, seven hundred eighty 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 138072868128 cubic inches would be around 430.7 feet tall.
Recreational maths with 138072868128
- 138072868128 backwards is 821868270831
- The number of decimal digits it has is: 12
- The sum of 138072868128's digits is 54
- More coming soon!
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