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10014102240 = 253520862713
BaseRepresentation
bin10010101001110001…
…10001001011100000
3221211220022002202120
421110320301023200
5131002102232430
64333404544240
7503105315232
oct112470611340
927756262676
1010014102240
11427977725a
121b35852080
13c378b72ac
146add94252
153d9246610
hex254e312e0

10014102240 has 48 divisors (see below), whose sum is σ = 31544423568. Its totient is φ = 2670427136.

The previous prime is 10014102221. The next prime is 10014102251. The reversal of 10014102240 is 4220141001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10430877 + ... + 10431836.

It is an arithmetic number, because the mean of its divisors is an integer number (657175491).

Almost surely, 210014102240 is an apocalyptic number.

10014102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014102240 is an abundant number, since it is smaller than the sum of its proper divisors (21530321328).

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

10014102240 is a wasteful number, since it uses less digits than its factorization.

10014102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20862731 (or 20862723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10014102240 its reverse (4220141001), we get a palindrome (14234243241).

The spelling of 10014102240 in words is "ten billion, fourteen million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20862713 41725426 62588139 83450852 104313565 125176278 166901704 208627130 250352556 312940695 333803408 417254260 500705112 625881390 667606816 834508520 1001410224 1251762780 1669017040 2002820448 2503525560 3338034080 5007051120 10014102240