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42911502000 = 24353173141331
BaseRepresentation
bin100111111101101110…
…011000111010110000
311002202120120011101220
4213331232120322300
51200340321031000
631414022225040
73046246514553
oct477556307260
9132676504356
1042911502000
1117220473644
128396b85180
13407b31c703
14211113869a
1511b23e91a0
hex9fdb98eb0

42911502000 has 640 divisors, whose sum is σ = 155366055936. Its totient is φ = 10137600000.

The previous prime is 42911501989. The next prime is 42911502013. The reversal of 42911502000 is 20511924.

It is a super-3 number, since 3×429115020003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129641835 + ... + 129642165.

Almost surely, 242911502000 is an apocalyptic number.

42911502000 is a gapful number since it is divisible by the number (40) 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 42911502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77683027968).

42911502000 is an abundant number, since it is smaller than the sum of its proper divisors (112454553936).

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

42911502000 is a wasteful number, since it uses less digits than its factorization.

42911502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 42911502000 in words is "forty-two billion, nine hundred eleven million, five hundred two thousand".