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4315438864 = 2411214932
BaseRepresentation
bin1000000010011100…
…00101111100010000
3102010202021000020001
410001032011330100
532314223020424
61552114455344
7211640424262
oct40116057420
912122230201
104315438864
111914a53100
12a05294554
1353a096829
142cd1c5b32
151a3cd3844
hex101385f10

4315438864 has 45 divisors (see below), whose sum is σ = 9196528789. Its totient is φ = 1960249280.

The previous prime is 4315438823. The next prime is 4315438877. The reversal of 4315438864 is 4688345134.

The square root of 4315438864 is 65692.

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., 3767504400 + 547934464 = 61380^2 + 23408^2 .

It is a super-2 number, since 2×43154388642 = 37246025177843220992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2889702 + ... + 2891194.

Almost surely, 24315438864 is an apocalyptic number.

4315438864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4315438864 is the 65692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4315438864

4315438864 is an abundant number, since it is smaller than the sum of its proper divisors (4881089925).

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

4315438864 is an equidigital number, since it uses as much as digits as its factorization.

4315438864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 1506 counting only the distinct ones).

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

The cubic root of 4315438864 is about 1628.0771816342.

The spelling of 4315438864 in words is "four billion, three hundred fifteen million, four hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1493 1936 2986 5972 11944 16423 23888 32846 65692 131384 180653 262768 361306 722612 1445224 2229049 2890448 4458098 8916196 17832392 24519539 35664784 49039078 98078156 196156312 269714929 392312624 539429858 1078859716 2157719432 4315438864