138186972
138,186,972 is an even composite number composed of six prime numbers multiplied together.
138186972 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 138186972:
22 × 34 × 7 × 11 × 29 × 191
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 29 × 191)See below for interesting mathematical facts about the number 138186972 from the Numbermatics database.
Names of 138186972
- Cardinal: 138186972 can be written as One hundred thirty-eight million, one hundred eighty-six thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.38186972 × 108
Factors of 138186972
Divisors of 138186972
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 29 33 36 42 44 54 58 63 66 77 81 84 87 99 108 116 126 132 154 162 174 189 191 198 203 231 252 261 297 308 319 324 348 378 382 396 406 462 522 567 573 594 609 638 693 756 764 783 812 891 924 957 1044 1134 1146 1188 1218 1276 1337 1386 1566 1719 1782 1827 1914 2079 2101 2233 2268 2292 2349 2436 2674 2772 2871 3132 3438 3564 3654 3828 4011 4158 4202 4466 4698 5157 5348 5481 5539 5742 6237 6303 6699 6876 7308 8022 8316 8404 8613 8932 9396 10314 10962 11078 11484 12033 12474 12606 13398 14707 15471 16044 16443 16617 17226 18909 20097 20628 21924 22156 24066 24948 25212 25839 26796 29414 30942 32886 33234 34452 36099 37818 38773 40194 44121 48132 49851 51678 56727 58828 60291 60929 61884 65772 66468 72198 75636 77546 80388 88242 99702 103356 108297 113454 116319 120582 121858 132363 144396 149553 155092 170181 176484 180873 182787 199404 216594 226908 232638 241164 243716 264726 299106 340362 348957 361746 365574 397089 426503 433188 448659 465276 529452 548361 598212 680724 697914 723492 731148 794178 853006 897318 1046871 1096722 1191267 1279509 1395828 1588356 1645083 1706012 1794636 2093742 2193444 2382534 2559018 3140613 3290166 3838527 4187484 4765068 4935249 5118036 6281226 6580332 7677054 9870498 11515581 12562452 15354108 19740996 23031162 34546743 46062324 69093486 138186972
- Sum of all divisors σ(n): 468357120
- Sum of proper divisors (its aliquot sum) s(n): 330170148
- 138186972 is an abundant number, because the sum of its proper divisors (330170148) is greater than itself. Its abundance is 191983176
Bases of 138186972
- Binary: 10000011110010010000110111002
- Hexadecimal: 0x83C90DC
- Base-36: 2A9TR0
Squares and roots of 138186972
- 138186972 squared (1381869722) is 19095639230528784
- 138186972 cubed (1381869723) is 2638768563671182619802048
-
The
square root of 138186972 is 11755.2954875665 -
The
cube root of 138186972 is 516.9982029377
Scales and comparisons
How big is 138186972?- 138,186,972 seconds is equal to 4 years, 20 weeks, 3 days, 9 hours, 16 minutes, 12 seconds.
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To count from 1 to 138,186,972 would take you about six 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 138186972 cubic inches would be around 43.1 feet tall.
Recreational maths with 138186972
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