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4466400714 = 2321889131357
BaseRepresentation
bin1000010100011011…
…11101110111001010
3102112021022122221200
410022031331313022
533121344310324
62015110245030
7215452531266
oct41215756712
912467278850
104466400714
111992191a66
12a47956776
13562441479
143052810a6
151b21a2ec9
hex10a37ddca

4466400714 has 24 divisors (see below), whose sum is σ = 9682398180. Its totient is φ = 1488000768.

The previous prime is 4466400637. The next prime is 4466400739. The reversal of 4466400714 is 4170046644.

4466400714 is a `hidden beast` number, since 4 + 4 + 6 + 640 + 0 + 7 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4380189489 + 86211225 = 66183^2 + 9285^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31677 + ... + 99680.

Almost surely, 24466400714 is an apocalyptic number.

4466400714 is an abundant number, since it is smaller than the sum of its proper divisors (5215997466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4466400714 is a wasteful number, since it uses less digits than its factorization.

4466400714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133254 (or 133251 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4466400714 is about 66831.1358125836. The cubic root of 4466400714 is about 1646.8443775397.

The spelling of 4466400714 in words is "four billion, four hundred sixty-six million, four hundred thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 1889 3778 5667 11334 17001 34002 131357 262714 394071 788142 1182213 2364426 248133373 496266746 744400119 1488800238 2233200357 4466400714