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10430112144 = 243792750557
BaseRepresentation
bin10011011011010111…
…01110000110010000
3222220220002121001210
421231223232012100
5132330102042034
64442545300120
7516316330134
oct115553560620
928826077053
1010430112144
1144725876a1
122031034640
13ca2b42aba
1470d3253c4
15410a1d8e9
hex26daee190

10430112144 has 40 divisors (see below), whose sum is σ = 27285535360. Its totient is φ = 3432693888.

The previous prime is 10430112127. The next prime is 10430112163. The reversal of 10430112144 is 44121103401.

10430112144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10430112144.

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 7 ways as a sum of consecutive naturals, for example, 1371487 + ... + 1379070.

It is an arithmetic number, because the mean of its divisors is an integer number (682138384).

Almost surely, 210430112144 is an apocalyptic number.

It is an amenable number.

10430112144 is an abundant number, since it is smaller than the sum of its proper divisors (16855423216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10430112144 is a wasteful number, since it uses less digits than its factorization.

10430112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750647 (or 2750641 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10430112144 its reverse (44121103401), we get a palindrome (54551215545).

The spelling of 10430112144 in words is "ten billion, four hundred thirty million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 2750557 5501114 8251671 11002228 16503342 22004456 33006684 44008912 66013368 132026736 217294003 434588006 651882009 869176012 1303764018 1738352024 2607528036 3476704048 5215056072 10430112144