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238359414640 = 24529102741127
BaseRepresentation
bin1101110111111101010…
…1000000011101110000
3211210020200021211222011
43131333111000131300
512401130002232030
6301300101252304
723135524411054
oct3357725003560
9753220254864
10238359414640
11920a6748176
123a242104094
1319628528869
14b772831c64
156300de1b2a
hex377f540770

238359414640 has 40 divisors (see below), whose sum is σ = 573295494240. Its totient is φ = 92056048896.

The previous prime is 238359414637. The next prime is 238359414649. The reversal of 238359414640 is 46414953832.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238359414649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51368244 + ... + 51372883.

It is an arithmetic number, because the mean of its divisors is an integer number (14332387356).

Almost surely, 2238359414640 is an apocalyptic number.

238359414640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238359414640 is an abundant number, since it is smaller than the sum of its proper divisors (334936079600).

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

238359414640 is a wasteful number, since it uses less digits than its factorization.

238359414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102741169 (or 102741163 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 238359414640 in words is "two hundred thirty-eight billion, three hundred fifty-nine million, four hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 102741127 205482254 410964508 513705635 821929016 1027411270 1643858032 2054822540 2979492683 4109645080 5958985366 8219290160 11917970732 14897463415 23835941464 29794926830 47671882928 59589853660 119179707320 238359414640