Search a number
-
+
238365919125 = 345323542313
BaseRepresentation
bin1101110111111110110…
…1110100011110010101
3211210021010112022110000
43131333231310132111
512401133133403000
6301300452521513
723135633611425
oct3357755643625
9753233468400
10238365919125
11920aa390084
123a244320299
1319629995379
14b773646485
156301779000
hex377fb74795

238365919125 has 40 divisors (see below), whose sum is σ = 444384719064. Its totient is φ = 127128484800.

The previous prime is 238365919013. The next prime is 238365919133. The reversal of 238365919125 is 521919563832.

238365919125 is a `hidden beast` number, since 2 + 3 + 8 + 36 + 591 + 9 + 12 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8098380081 + 230267539044 = 89991^2 + 479862^2 .

It is not a de Polignac number, because 238365919125 - 27 = 238365918997 is a prime.

It is a super-2 number, since 2×2383659191252 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11761032 + ... + 11781281.

Almost surely, 2238365919125 is an apocalyptic number.

238365919125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

238365919125 is a deficient number, since it is larger than the sum of its proper divisors (206018799939).

238365919125 is an equidigital number, since it uses as much as digits as its factorization.

238365919125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23542340 (or 23542321 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 238365919125 in words is "two hundred thirty-eight billion, three hundred sixty-five million, nine hundred nineteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125 23542313 70626939 117711565 211880817 353134695 588557825 635642451 1059404085 1765673475 1906927353 2942789125 3178212255 5297020425 8828367375 9534636765 15891061275 26485102125 47673183825 79455306375 238365919125