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42151023936 = 26327192918973
BaseRepresentation
bin100111010000011001…
…011001010101000000
311000210120120212121200
4213100121121111000
51142311130231221
631210334421200
73021353535420
oct472031312500
9130716525550
1042151023936
111697017717a
128204361800
133c898c68a8
14207c13a480
15116a77c426
hex9d0659540

42151023936 has 336 divisors, whose sum is σ = 150365155200. Its totient is φ = 11015294976.

The previous prime is 42151023923. The next prime is 42151023961. The reversal of 42151023936 is 63932015124.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42151023936.

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, 2212146 + ... + 2231118.

Almost surely, 242151023936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42151023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75182577600).

42151023936 is an abundant number, since it is smaller than the sum of its proper divisors (108214131264).

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

42151023936 is a wasteful number, since it uses less digits than its factorization.

42151023936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19046 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42151023936 in words is "forty-two billion, one hundred fifty-one million, twenty-three thousand, nine hundred thirty-six".