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4314516641 = 6197729173
BaseRepresentation
bin1000000010010101…
…00100110010100001
3102010200112011011122
410001022210302201
532314004013031
61552043022025
7211626533501
oct40112446241
912120464148
104314516641
111914483236
12a04b0a915
13539b32b36
142cd025a01
151a3ba047b
hex1012a4ca1

4314516641 has 8 divisors (see below), whose sum is σ = 4430461224. Its totient is φ = 4200030720.

The previous prime is 4314516553. The next prime is 4314516691. The reversal of 4314516641 is 1466154134.

It can be written as a sum of positive squares in 4 ways, for example, as 8532241 + 4305984400 = 2921^2 + 65620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4314516641 - 226 = 4247407777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4314516691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358670 + ... + 370503.

It is an arithmetic number, because the mean of its divisors is an integer number (553807653).

Almost surely, 24314516641 is an apocalyptic number.

It is an amenable number.

4314516641 is a deficient number, since it is larger than the sum of its proper divisors (115944583).

4314516641 is an equidigital number, since it uses as much as digits as its factorization.

4314516641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729331.

The product of its digits is 34560, while the sum is 35.

The square root of 4314516641 is about 65684.9803303617. The cubic root of 4314516641 is about 1627.9611982826.

The spelling of 4314516641 in words is "four billion, three hundred fourteen million, five hundred sixteen thousand, six hundred forty-one".

Divisors: 1 61 97 5917 729173 44479553 70729781 4314516641