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239441426471025 = 325210315932
BaseRepresentation
bin110110011100010101001101…
…001010110101100001110001
31011101210101011200220210021100
4312130111031022311201301
5222341002020134033100
62205125512304315013
7101302033521616632
oct6634251512654161
91141711150823240
10239441426471025
116a3255a2021739
1222a31429312a69
13a37b2ca667a9c
14431b053a69889
151ca364ac98400
hexd9c54d2b5871

239441426471025 has 27 divisors (see below), whose sum is σ = 428866615144929. Its totient is φ = 127701970326720.

The previous prime is 239441426471003. The next prime is 239441426471053. The reversal of 239441426471025 is 520174624144932.

The square root of 239441426471025 is 15473895.

It is a perfect power (a square), and thus also a powerful number.

239441426471025 is a `hidden beast` number, since 2 + 3 + 9 + 4 + 4 + 142 + 6 + 471 + 0 + 25 = 666.

239441426471025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31330450164321 + 208110976306704 = 5597361^2 + 14426052^2 .

It is not a de Polignac number, because 239441426471025 - 25 = 239441426470993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 231592629 + ... + 232624221.

Almost surely, 2239441426471025 is an apocalyptic number.

239441426471025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

239441426471025 is the 15473895-th square number.

239441426471025 is the 7736948-th centered octagonal number.

It is an amenable number.

239441426471025 is a deficient number, since it is larger than the sum of its proper divisors (189425188673904).

239441426471025 is an frugal number, since it uses more digits than its factorization.

239441426471025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063202 (or 1031601 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 239441426471025 in words is "two hundred thirty-nine trillion, four hundred forty-one billion, four hundred twenty-six million, four hundred seventy-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1031593 3094779 5157965 9284337 15473895 25789825 46421685 77369475 232108425 1064184117649 3192552352947 5320920588245 9577657058841 15962761764735 26604602941225 47888285294205 79813808823675 239441426471025