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10014300144 = 2432173401987
BaseRepresentation
bin10010101001110011…
…00001011111110000
3221211220200011020100
421110321201133300
5131002130101034
64333413112400
7503110101222
oct112471413760
927756604210
1010014300144
1142798a1a12
121b35928700
13c379563b4
146b0006412
153d9285099
hex254e617f0

10014300144 has 60 divisors (see below), whose sum is σ = 28188202536. Its totient is φ = 3318796416.

The previous prime is 10014300137. The next prime is 10014300173. The reversal of 10014300144 is 44100341001.

10014300144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 176082 + ... + 225905.

Almost surely, 210014300144 is an apocalyptic number.

It is an amenable number.

10014300144 is an abundant number, since it is smaller than the sum of its proper divisors (18173902392).

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

10014300144 is a wasteful number, since it uses less digits than its factorization.

10014300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402174 (or 402165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10014300144 its reverse (44100341001), we get a palindrome (54114641145).

The spelling of 10014300144 in words is "ten billion, fourteen million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 401987 803974 1205961 1607948 2411922 3215896 3617883 4823844 6431792 7235766 9647688 14471532 19295376 28943064 57886128 69543751 139087502 208631253 278175004 417262506 556350008 625893759 834525012 1112700016 1251787518 1669050024 2503575036 3338100048 5007150072 10014300144