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238671309940 = 225721743431773
BaseRepresentation
bin1101111001000111101…
…0110010110001110100
3211211001102011202212221
43132101322302301310
512402244323404230
6301351042252124
723146332442600
oct3362172626164
9754042152787
10238671309940
1192246806788
123a30a657044
131967802caab
14b7a2020500
15631d4a027a
hex3791eb2c74

238671309940 has 288 divisors, whose sum is σ = 633977777664. Its totient is φ = 74953912320.

The previous prime is 238671309911. The next prime is 238671309973. The reversal of 238671309940 is 49903176832.

It is a super-3 number, since 3×2386713099403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308759394 + ... + 308760166.

It is an arithmetic number, because the mean of its divisors is an integer number (2201311728).

Almost surely, 2238671309940 is an apocalyptic number.

238671309940 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 238671309940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316988888832).

238671309940 is an abundant number, since it is smaller than the sum of its proper divisors (395306467724).

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

238671309940 is a wasteful number, since it uses less digits than its factorization.

238671309940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 238671309940 in words is "two hundred thirty-eight billion, six hundred seventy-one million, three hundred nine thousand, nine hundred forty".