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15051405040 = 245741259271
BaseRepresentation
bin11100000010010001…
…00011011011110000
31102211221212121010221
432001020203123300
5221311124430130
610525311502424
71041662555230
oct160110433360
942757777127
1015051405040
116424142421
122b00827a14
13155b3a6b39
14a2ada5cc0
155d15ba87a
hex3812236f0

15051405040 has 240 divisors, whose sum is σ = 41841607680. Its totient is φ = 4931020800.

The previous prime is 15051405037. The next prime is 15051405053. The reversal of 15051405040 is 4050415051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15051404996 and 15051405014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55540105 + ... + 55540375.

It is an arithmetic number, because the mean of its divisors is an integer number (174340032).

Almost surely, 215051405040 is an apocalyptic number.

15051405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15051405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20920803840).

15051405040 is an abundant number, since it is smaller than the sum of its proper divisors (26790202640).

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

15051405040 is a wasteful number, since it uses less digits than its factorization.

15051405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 15051405040 in words is "fifteen billion, fifty-one million, four hundred five thousand, forty".