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238001241375 = 32531911134561
BaseRepresentation
bin1101110110100111111…
…0101011110100011111
3211202022201022202121200
43131221332223310133
512344411304211000
6301200344330543
723123615113122
oct3355176536437
9752281282550
10238001241375
1191a32550307
123a162173a53
131959c270411
14b73b0383b9
1562ce741500
hex3769fabd1f

238001241375 has 48 divisors (see below), whose sum is σ = 451617834720. Its totient is φ = 120253248000.

The previous prime is 238001241347. The next prime is 238001241377. The reversal of 238001241375 is 573142100832.

238001241375 is a `hidden beast` number, since 2 + 380 + 0 + 1 + 241 + 37 + 5 = 666.

It is not a de Polignac number, because 238001241375 - 211 = 238001239327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238001241377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5545906 + ... + 5588655.

It is an arithmetic number, because the mean of its divisors is an integer number (9408704890).

Almost surely, 2238001241375 is an apocalyptic number.

238001241375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238001241375 is a deficient number, since it is larger than the sum of its proper divisors (213616593345).

238001241375 is a wasteful number, since it uses less digits than its factorization.

238001241375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134601 (or 11134588 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 238001241375 in words is "two hundred thirty-eight billion, one million, two hundred forty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 375 475 855 1125 1425 2375 4275 7125 21375 11134561 33403683 55672805 100211049 167018415 211556659 278364025 501055245 634669977 835092075 1057783295 1391820125 1904009931 2505276225 3173349885 4175460375 5288916475 9520049655 12526381125 15866749425 26444582375 47600248275 79333747125 238001241375