138216034125
138,216,034,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138216034125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 256 divisors.
138216034125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138216034125:
33 × 53 × 13 × 43 × 61 × 1201
(3 × 3 × 3 × 5 × 5 × 5 × 13 × 43 × 61 × 1201)See below for interesting mathematical facts about the number 138216034125 from the Numbermatics database.
Names of 138216034125
- Cardinal: 138216034125 can be written as One hundred thirty-eight billion, two hundred sixteen million, thirty-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38216034125 × 1011
Factors of 138216034125
Divisors of 138216034125
- Number of divisors d(n): 256
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Complete list of divisors:
1 3 5 9 13 15 25 27 39 43 45 61 65 75 117 125 129 135 183 195 215 225 305 325 351 375 387 549 559 585 645 675 793 915 975 1075 1125 1161 1201 1525 1625 1647 1677 1755 1935 2379 2623 2745 2795 2925 3225 3375 3603 3965 4575 4875 5031 5375 5805 6005 7137 7625 7869 8235 8385 8775 9675 10809 11895 13115 13725 13975 14625 15093 15613 16125 18015 19825 21411 22875 23607 25155 29025 30025 32427 34099 35685 39345 41175 41925 43875 46839 48375 51643 54045 59475 65575 68625 69875 70821 73261 75465 78065 90075 99125 102297 107055 118035 125775 140517 145125 150125 154929 162135 170495 178425 196725 205875 209625 219783 234195 258215 270225 297375 306891 327875 354105 366305 377325 390325 421551 450375 464787 511485 535275 590175 628875 659349 671359 702585 774645 810675 852475 892125 920673 952393 983625 1098915 1170975 1291075 1351125 1394361 1534455 1770525 1831525 1886625 1951625 1978047 2014077 2107755 2323935 2557425 2676375 2857179 2950875 3150223 3296745 3356795 3512925 3873225 4053375 4262375 4603365 4761965 5494575 5854875 6042231 6455375 6971805 7672275 8571537 8852625 9157625 9450669 9890235 10070385 10538775 11619675 12787125 14285895 15751115 16483725 16783975 17564625 18126693 19366125 23016825 23809825 25714611 27472875 28352007 30211155 34859025 38361375 40952899 42857685 47253345 49451175 50351925 52693875 58098375 71429475 78755575 82418625 83919875 85056021 90633465 115084125 119049125 122858697 128573055 141760035 151055775 174295125 204764495 214288425 236266725 247255875 251759625 357147375 368576091 393777875 425280105 453167325 614293485 642865275 708800175 755278875 1023822475 1071442125 1105728273 1181333625 1842880455 2126400525 2265836625 3071467425 3214326375 3544000875 5119112375 5528641365 9214402275 10632002625 15357337125 27643206825 46072011375 138216034125
- Sum of all divisors σ(n): 286458332160
- Sum of proper divisors (its aliquot sum) s(n): 148242298035
- 138216034125 is an abundant number, because the sum of its proper divisors (148242298035) is greater than itself. Its abundance is 10026263910
Bases of 138216034125
- Binary: 100000001011100101000101001111010011012
- Hexadecimal: 0x202E514F4D
- Base-36: 1RHU9AH9
Squares and roots of 138216034125
- 138216034125 squared (1382160341252) is 19103672089243164515625
- 138216034125 cubed (1382160341253) is 2640433793399643272114614095703125
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The
square root of 138216034125 is 371774.1708685529 -
The
cube root of 138216034125 is 5170.3444372309
Scales and comparisons
How big is 138216034125?- 138,216,034,125 seconds is equal to 4,394 years, 43 weeks, 5 days, 14 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,216,034,125 would take you about eight thousand, seven hundred eighty-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 138216034125 cubic inches would be around 430.9 feet tall.
Recreational maths with 138216034125
- 138216034125 backwards is 521430612831
- The number of decimal digits it has is: 12
- The sum of 138216034125's digits is 36
- More coming soon!
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