| Base | Representation |
|---|---|
| bin | 110011100010100010… |
| … | …0001001100000000000 |
| 3 | 101120200111122221020200 |
| 4 | 1213011010021200000 |
| 5 | 3303133134201230 |
| 6 | 122502412405200 |
| 7 | 10665522501546 |
| oct | 1470504114000 |
| 9 | 346614587220 |
| 10 | 110680381440 |
| 11 | 42a3720a822 |
| 12 | 1954a776800 |
| 13 | a58b45a685 |
| 14 | 54dd6d1d96 |
| 15 | 2d2bbe2160 |
| hex | 19c5109800 |
110680381440 has 144 divisors (see below), whose sum is σ = 383598633600. Its totient is φ = 29514743808.
The previous prime is 110680381423. The next prime is 110680381453. The reversal of 110680381440 is 44183086011.
It is a happy number.
110680381440 is a `hidden beast` number, since 1 + 106 + 80 + 38 + 1 + 440 = 666.
110680381440 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 (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 110680381395 and 110680381404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508320 + ... + 692639.
It is an arithmetic number, because the mean of its divisors is an integer number (2663879400).
Almost surely, 2110680381440 is an apocalyptic number.
110680381440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
110680381440 is an abundant number, since it is smaller than the sum of its proper divisors (272918252160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110680381440 is a wasteful number, since it uses less digits than its factorization.
110680381440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1200992 (or 1200969 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The spelling of 110680381440 in words is "one hundred ten billion, six hundred eighty million, three hundred eighty-one thousand, four hundred forty".
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