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238440125880 = 2332511269223837
BaseRepresentation
bin1101111000010000100…
…0111001010110111000
3211210110022011101222100
43132010020321112320
512401311133012010
6301312103223400
723140524425565
oct3360410712670
9753408141870
10238440125880
1192138264780
123a265147b60
131963c1778a8
14b77d44186c
1563080362c0
hex37842395b8

238440125880 has 192 divisors, whose sum is σ = 848525090400. Its totient is φ = 57588526080.

The previous prime is 238440125867. The next prime is 238440125897. The reversal of 238440125880 is 88521044832.

238440125880 is a `hidden beast` number, since 2 + 3 + 8 + 440 + 125 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 953322 + ... + 1177158.

Almost surely, 2238440125880 is an apocalyptic number.

238440125880 is a gapful number since it is divisible by the number (20) 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 238440125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424262545200).

238440125880 is an abundant number, since it is smaller than the sum of its proper divisors (610084964520).

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

238440125880 is a wasteful number, since it uses less digits than its factorization.

238440125880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224134 (or 224127 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 238440125880 in words is "two hundred thirty-eight billion, four hundred forty million, one hundred twenty-five thousand, eight hundred eighty".