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30153512441 = 135397451177
BaseRepresentation
bin11100000101010010…
…100001010111111001
32212211110011010212002
4130011102201113321
5443223244344231
621504034230345
72115142424663
oct340522412771
985743133762
1030153512441
1111873965218
125a164253b5
132ac7123970
1416609a9533
15bb734e0cb
hex7054a15f9

30153512441 has 16 divisors (see below), whose sum is σ = 33426875664. Its totient is φ = 27027247104.

The previous prime is 30153512437. The next prime is 30153512491. The reversal of 30153512441 is 14421535103.

It can be written as a sum of positive squares in 8 ways, for example, as 329604025 + 29823908416 = 18155^2 + 172696^2 .

It is not a de Polignac number, because 30153512441 - 22 = 30153512437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30153512491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158756 + ... + 292421.

It is an arithmetic number, because the mean of its divisors is an integer number (2089179729).

Almost surely, 230153512441 is an apocalyptic number.

It is an amenable number.

30153512441 is a deficient number, since it is larger than the sum of its proper divisors (3273363223).

30153512441 is a wasteful number, since it uses less digits than its factorization.

30153512441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451340.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 30153512441 in words is "thirty billion, one hundred fifty-three million, five hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 53 97 689 1261 5141 66833 451177 5865301 23912381 43764169 310860953 568934197 2319500957 30153512441