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30442400241 = 31131244712161
BaseRepresentation
bin11100010110100000…
…100010100111110001
32220120120202011102020
4130112200202213301
5444321223301431
621552434142053
72125251063321
oct342640424761
986516664366
1030442400241
1111a01a39970
125a97121929
132b41c308a6
14168b0c9281
15bd28b5696
hex7168229f1

30442400241 has 32 divisors (see below), whose sum is σ = 45730676736. Its totient is φ = 17846016000.

The previous prime is 30442400227. The next prime is 30442400299. The reversal of 30442400241 is 14200424403.

It is a happy number.

It is not a de Polignac number, because 30442400241 - 27 = 30442400113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30442400041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497201 + ... + 2509361.

It is an arithmetic number, because the mean of its divisors is an integer number (1429083648).

Almost surely, 230442400241 is an apocalyptic number.

30442400241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

30442400241 is a deficient number, since it is larger than the sum of its proper divisors (15288276495).

30442400241 is a wasteful number, since it uses less digits than its factorization.

30442400241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14653.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30442400241 its reverse (14200424403), we get a palindrome (44642824644).

The spelling of 30442400241 in words is "thirty billion, four hundred forty-two million, four hundred thousand, two hundred forty-one".

Divisors: 1 3 11 31 33 93 341 1023 2447 7341 12161 26917 36483 75857 80751 133771 227571 376991 401313 834427 1130973 2503281 4146901 12440703 29757967 89273901 327337637 922496977 982012911 2767490931 10147466747 30442400241