| Base | Representation |
|---|---|
| bin | 110000111010111101… |
| … | …0001111000100010000 |
| 3 | 101001011122001122222200 |
| 4 | 1201311322033010100 |
| 5 | 3210124144243230 |
| 6 | 120132425003200 |
| 7 | 10406264203635 |
| oct | 1416572170420 |
| 9 | 331148048880 |
| 10 | 105057415440 |
| 11 | 4061119918a |
| 12 | 1843b623500 |
| 13 | 9ba3521a63 |
| 14 | 51289ca18c |
| 15 | 2aed233160 |
| hex | 1875e8f110 |
105057415440 has 360 divisors, whose sum is σ = 362486674368. Its totient is φ = 27266496000.
The previous prime is 105057415409. The next prime is 105057415451. The reversal of 105057415440 is 44514750501.
105057415440 is a `hidden beast` number, since 10 + 50 + 57 + 4 + 1 + 544 + 0 = 666.
105057415440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×1050574154402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 105057415395 and 105057415404.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 418555315 + ... + 418555565.
Almost surely, 2105057415440 is an apocalyptic number.
105057415440 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 105057415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181243337184).
105057415440 is an abundant number, since it is smaller than the sum of its proper divisors (257429258928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105057415440 is a wasteful number, since it uses less digits than its factorization.
105057415440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 555 (or 487 counting only the distinct ones).
The product of its (nonzero) digits is 56000, while the sum is 36.
The spelling of 105057415440 in words is "one hundred five billion, fifty-seven million, four hundred fifteen thousand, four hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.062 sec. • engine limits •