138406467584
138,406,467,584 is an even composite number composed of five prime numbers multiplied together.
What does the number 138406467584 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
138406467584 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138406467584:
211 × 7 × 112 × 73 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 73 × 1093)See below for interesting mathematical facts about the number 138406467584 from the Numbermatics database.
Names of 138406467584
- Cardinal: 138406467584 can be written as One hundred thirty-eight billion, four hundred six million, four hundred sixty-seven thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.38406467584 × 1011
Factors of 138406467584
Divisors of 138406467584
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 64 73 77 88 112 121 128 146 154 176 224 242 256 292 308 352 448 484 511 512 584 616 704 803 847 896 968 1022 1024 1093 1168 1232 1408 1606 1694 1792 1936 2044 2048 2186 2336 2464 2816 3212 3388 3584 3872 4088 4372 4672 4928 5621 5632 6424 6776 7168 7651 7744 8176 8744 8833 9344 9856 11242 11264 12023 12848 13552 14336 15302 15488 16352 17488 17666 18688 19712 22484 22528 24046 25696 27104 30604 30976 32704 34976 35332 37376 39424 44968 48092 51392 54208 61208 61831 61952 65408 69952 70664 74752 78848 79789 84161 89936 96184 102784 108416 122416 123662 123904 130816 132253 139904 141328 149504 157696 159578 168322 179872 192368 205568 216832 244832 247324 247808 261632 264506 279808 282656 319156 336644 359744 384736 411136 433664 489664 494648 523264 529012 558523 559616 565312 638312 673288 719488 769472 822272 867328 877679 925771 979328 989296 1046528 1058024 1117046 1119232 1130624 1276624 1346576 1438976 1538944 1644544 1734656 1755358 1851542 1958656 1978592 2116048 2234092 2238464 2261248 2553248 2693152 2877952 3077888 3510716 3703084 3917312 3957184 4232096 4468184 4522496 5106496 5386304 5755904 6143753 6155776 7021432 7406168 7834624 7914368 8464192 8936368 9044992 9654469 10212992 10772608 11511808 12287506 12311552 14042864 14812336 15669248 15828736 16928384 17872736 18089984 19308938 20425984 21545216 24575012 24623104 28085728 29624672 31657472 33856768 35745472 38617876 40851968 43090432 49150024 56171456 59249344 63314944 67581283 67713536 71490944 77235752 81703936 86180864 98300048 112342912 118498688 126629888 135162566 135427072 142981888 154471504 163407872 172361728 196600096 224685824 236997376 270325132 270854144 285963776 308943008 393200192 449371648 473994752 540650264 571927552 617886016 786400384 898743296 947989504 1081300528 1143855104 1235772032 1572800768 1797486592 1895979008 2162601056 2471544064 3145601536 4325202112 4943088128 6291203072 8650404224 9886176256 12582406144 17300808448 19772352512 34601616896 69203233792 138406467584
- Sum of all divisors σ(n): 352731768480
- Sum of proper divisors (its aliquot sum) s(n): 214325300896
- 138406467584 is an abundant number, because the sum of its proper divisors (214325300896) is greater than itself. Its abundance is 75918833312
Bases of 138406467584
- Binary: 100000001110011010101100011000000000002
- Hexadecimal: 0x2039AB1800
- Base-36: 1RKZMXVK
Squares and roots of 138406467584
- 138406467584 squared (1384064675842) is 19156350269080842797056
- 138406467584 cubed (1384064675843) is 2651362772545287346066131154632704
-
The
square root of 138406467584 is 372030.1971399635 -
The
cube root of 138406467584 is 5172.7179069755
Scales and comparisons
How big is 138406467584?- 138,406,467,584 seconds is equal to 4,400 years, 46 weeks, 4 days, 16 hours, 59 minutes, 44 seconds.
-
To count from 1 to 138,406,467,584 would take you about eight thousand, eight hundred one 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 138406467584 cubic inches would be around 431.1 feet tall.
Recreational maths with 138406467584
- 138406467584 backwards is 485764604831
- 138406467584 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138406467584's digits is 56
- More coming soon!
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