| Base | Representation |
|---|---|
| bin | 11111111001110001000001… |
| … | …100011000100001100000000 |
| 3 | 200101210102021211010100010000 |
| 4 | 133321301001203010030000 |
| 5 | 121342311004340240320 |
| 6 | 1214225035015040000 |
| 7 | 41360666040224130 |
| oct | 3771610143041400 |
| 9 | 611712254110100 |
| 10 | 140309091336960 |
| 11 | 4078582a233567 |
| 12 | 138a0a12970000 |
| 13 | 603a123bbbc20 |
| 14 | 2690dd3a1cac0 |
| 15 | 1134b64db9c90 |
| hex | 7f9c418c4300 |
140309091336960 has 2880 divisors, whose sum is σ = 658541771661312. Its totient is φ = 27712065503232.
The previous prime is 140309091336907. The next prime is 140309091337039. The reversal of 140309091336960 is 69633190903041.
140309091336960 is a `hidden beast` number, since 1 + 403 + 0 + 9 + 0 + 91 + 33 + 69 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×1403090913369602 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 140309091336897 and 140309091336906.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10199098402 + ... + 10199112158.
Almost surely, 2140309091336960 is an apocalyptic number.
140309091336960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 140309091336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329270885830656).
140309091336960 is an abundant number, since it is smaller than the sum of its proper divisors (518232680324352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
140309091336960 is a wasteful number, since it uses less digits than its factorization.
140309091336960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13880 (or 13857 counting only the distinct ones).
The product of its (nonzero) digits is 2834352, while the sum is 54.
The spelling of 140309091336960 in words is "one hundred forty trillion, three hundred nine billion, ninety-one million, three hundred thirty-six thousand, nine hundred sixty".
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