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45701460841 = 31326832
BaseRepresentation
bin101010100100000001…
…001111001101101001
311100222000100202102211
4222210001033031221
51222044033221331
632554524525121
73205345002421
oct524401171551
9140860322384
1045701460841
1118422312a53
128a353b07a1
13440434242a
1422d78a7481
1512c72ed8b1
hexaa404f369

45701460841 has 9 divisors (see below), whose sum is σ = 45915163959. Its totient is φ = 45488750736.

The previous prime is 45701460839. The next prime is 45701460869. The reversal of 45701460841 is 14806410754.

The square root of 45701460841 is 213779.

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., 291555625 + 45409905216 = 17075^2 + 213096^2 .

It is not a de Polignac number, because 45701460841 - 21 = 45701460839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45701460794 and 45701460803.

It is not an unprimeable number, because it can be changed into a prime (45701460241) 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, 66912486 + ... + 66913168.

Almost surely, 245701460841 is an apocalyptic number.

45701460841 is the 213779-th square number.

45701460841 is the 106890-th centered octagonal number.

It is an amenable number.

45701460841 is a deficient number, since it is larger than the sum of its proper divisors (213703118).

45701460841 is an frugal number, since it uses more digits than its factorization.

45701460841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 45701460841 in words is "forty-five billion, seven hundred one million, four hundred sixty thousand, eight hundred forty-one".

Divisors: 1 313 683 97969 213779 466489 66912827 146011057 45701460841