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16242011040 = 2535318313151
BaseRepresentation
bin11110010000001100…
…10110101110100000
31112220221012122112110
433020012112232200
5231230423323130
611243402355320
71113330546603
oct171006265640
945827178473
1016242011040
116985212322
1231934bbb40
1316bac5c528
14b0116c33a
15650d9cab0
hex3c8196ba0

16242011040 has 192 divisors, whose sum is σ = 53453094912. Its totient is φ = 4140672000.

The previous prime is 16242011029. The next prime is 16242011047. The reversal of 16242011040 is 4011024261.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16242010998 and 16242011016.

It is not an unprimeable number, because it can be changed into a prime (16242011047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228465 + ... + 1241615.

It is an arithmetic number, because the mean of its divisors is an integer number (278401536).

Almost surely, 216242011040 is an apocalyptic number.

16242011040 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 16242011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26726547456).

16242011040 is an abundant number, since it is smaller than the sum of its proper divisors (37211083872).

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

16242011040 is a wasteful number, since it uses less digits than its factorization.

16242011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13275 counting only the distinct ones).

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

The spelling of 16242011040 in words is "sixteen billion, two hundred forty-two million, eleven thousand, forty".