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15040412120 = 235419170983
BaseRepresentation
bin11100000000111101…
…00111100111011000
31102211012012002200202
432000132213213120
5221300321141440
610524240121332
71041500252006
oct160036474730
942735162622
1015040412120
116418a14268
122ab9006248
131559028356
14a29743a76
155d0648615
hex3807a79d8

15040412120 has 32 divisors (see below), whose sum is σ = 34666319520. Its totient is φ = 5869428480.

The previous prime is 15040412119. The next prime is 15040412137. The reversal of 15040412120 is 2121404051.

It is a happy number.

15040412120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 15040412092 and 15040412101.

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 7 ways as a sum of consecutive naturals, for example, 4583852 + ... + 4587131.

It is an arithmetic number, because the mean of its divisors is an integer number (1083322485).

Almost surely, 215040412120 is an apocalyptic number.

15040412120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15040412120 is an abundant number, since it is smaller than the sum of its proper divisors (19625907400).

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

15040412120 is a wasteful number, since it uses less digits than its factorization.

15040412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171035 (or 9171031 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 15040412120 its reverse (2121404051), we get a palindrome (17161816171).

The spelling of 15040412120 in words is "fifteen billion, forty million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 9170983 18341966 36683932 45854915 73367864 91709830 183419660 366839320 376010303 752020606 1504041212 1880051515 3008082424 3760103030 7520206060 15040412120