138396795421248
138,396,795,421,248 is an even composite number composed of seven prime numbers multiplied together.
138396795421248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 138396795421248:
26 × 36 × 72 × 13 × 37 × 127 × 991
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 37 × 127 × 991)See below for interesting mathematical facts about the number 138396795421248 from the Numbermatics database.
Names of 138396795421248
- Cardinal: 138396795421248 can be written as One hundred thirty-eight trillion, three hundred ninety-six billion, seven hundred ninety-five million, four hundred twenty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38396795421248 × 1014
Factors of 138396795421248
Divisors of 138396795421248
- Number of divisors d(n): 2352
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 37 39 42 48 49 52 54 56 63 64 72 74 78 81 84 91 96 98 104 108 111 112 117 126 127 144 147 148 156 162 168 182 189 192 196 208 216 222 224 234 243 252 254 259 273 288 294 296 312 324 333 336 351 364 378 381 392 416 432 441 444 448 468 481 486 504 508 518 546 567 576 588 592 624 637 648 666 672 702 728 729 756 762 777 784 819 832 864 882 888 889 936 962 972 991 999 1008 1016 1036 1053 1092 1134 1143 1176 1184 1248 1274 1296 1323 1332 1344 1404 1443 1456 1458 1512 1524 1554 1568 1638 1651 1701 1728 1764 1776 1778 1813 1872 1911 1924 1944 1982 1998 2016 2032 2072 2106 2184 2268 2286 2331 2352 2368 2457 2496 2548 2592 2646 2664 2667 2808 2886 2912 2916 2973 2997 3024 3048 3108 3136 3159 3276 3302 3367 3402 3429 3528 3552 3556 3626 3744 3822 3848 3888 3964 3969 3996 4032 4064 4144 4212 4329 4368 4536 4572 4662 4699 4704 4914 4953 5096 5103 5184 5292 5328 5334 5439 5616 5733 5772 5824 5832 5946 5994 6048 6096 6216 6223 6318 6552 6604 6734 6804 6858 6937 6993 7056 7104 7112 7252 7371 7488 7644 7696 7776 7928 7938 7992 8001 8128 8288 8424 8658 8736 8919 8991 9072 9144 9324 9398 9408 9477 9828 9906 10101 10192 10206 10287 10584 10656 10668 10878 11232 11466 11544 11557 11664 11892 11907 11988 12096 12192 12432 12446 12636 12883 12987 13104 13208 13468 13608 13716 13874 13986 14097 14112 14224 14504 14742 14859 15288 15392 15552 15856 15876 15984 16002 16317 16576 16848 17199 17316 17472 17838 17982 18144 18288 18648 18669 18796 18954 19656 19812 20202 20384 20412 20574 20811 20979 21168 21312 21336 21756 22113 22464 22932 23088 23114 23328 23569 23784 23814 23976 24003 24384 24864 24892 25272 25766 25974 26208 26416 26757 26936 26973 27216 27432 27748 27972 28194 28224 28448 29008 29484 29718 30303 30576 30784 30861 31712 31752 31968 32004 32634 32893 33696 34398 34632 34671 35676 35721 35964 36288 36576 36667 37296 37338 37592 37908 38649 38961 39312 39624 40404 40768 40824 41148 41622 41958 42291 42336 42672 43512 44226 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7688710856736 8649799713828 9885485387232 10645907340096 11533066285104 15377421713472 17299599427656 19770970774464 23066132570208 34599198855312 46132265140416 69198397710624 138396795421248
- Sum of all divisors σ(n): 534480681713664
- Sum of proper divisors (its aliquot sum) s(n): 396083886292416
- 138396795421248 is an abundant number, because the sum of its proper divisors (396083886292416) is greater than itself. Its abundance is 257687090871168
Bases of 138396795421248
- Binary: 111110111011111000000111101010001000010010000002
- Hexadecimal: 0x7DDF03D44240
- Base-36: 1D22LYP000
Squares and roots of 138396795421248
- 138396795421248 squared (1383967954212482) is 19153672982870771377769877504
- 138396795421248 cubed (1383967954212483) is 2650806961375851094549431995439005038804992
-
The
square root of 138396795421248 is 11764216.7364108011 -
The
cube root of 138396795421248 is 51725.9741035459
Scales and comparisons
How big is 138396795421248?- 138,396,795,421,248 seconds is equal to 4,400,590 years, 1 day, 19 hours, 40 minutes, 48 seconds.
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To count from 1 to 138,396,795,421,248 would take you about eleven million, one thousand, four hundred seventy-five 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 138396795421248 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138396795421248
- 138396795421248 backwards is 842124597693831
- 138396795421248 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138396795421248's digits is 72
- More coming soon!
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The information we have on file for 138396795421248 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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