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30895444441 = 137212832
BaseRepresentation
bin11100110001100000…
…110001000111011001
32221202011020012020001
4130301200301013121
51001233213210231
622105420333001
72142421642021
oct346140610731
987664205201
1030895444441
1112114744764
125ba29a4161
132bb4a55094
1416d133aa81
15c0c555b61
hex7318311d9

30895444441 has 9 divisors (see below), whose sum is σ = 31146881311. Its totient is φ = 30646025392.

The previous prime is 30895444427. The next prime is 30895444451. The reversal of 30895444441 is 14444459803.

The square root of 30895444441 is 175771.

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

It can be written as a sum of positive squares in only one way, i.e., 18148131225 + 12747313216 = 134715^2 + 112904^2 .

It is a de Polignac number, because none of the positive numbers 2k-30895444441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30895444391 and 30895444400.

It is not an unprimeable number, because it can be changed into a prime (30895444421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24079986 + ... + 24081268.

Almost surely, 230895444441 is an apocalyptic number.

30895444441 is the 175771-st square number.

30895444441 is the 87886-th centered octagonal number.

It is an amenable number.

30895444441 is a deficient number, since it is larger than the sum of its proper divisors (251436870).

30895444441 is an frugal number, since it uses more digits than its factorization.

30895444441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 30895444441 in words is "thirty billion, eight hundred ninety-five million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 137 1283 18769 175771 1646089 24080627 225514193 30895444441