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4332140761 = 132612832
BaseRepresentation
bin1000000100011011…
…10011100011011001
3102011220200112220211
410002031303203121
532333012001021
61553512451121
7212232405664
oct40215634331
912156615824
104332140761
111923420523
12a0a9a9aa1
13540693a00
142d14d26db
151a54d23e1
hex1023738d9

4332140761 has 27 divisors (see below), whose sum is σ = 4827331197. Its totient is φ = 3885953760.

The previous prime is 4332140749. The next prime is 4332140767. The reversal of 4332140761 is 1670412334.

The square root of 4332140761 is 65819.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3046488025 + 1285652736 = 55195^2 + 35856^2 .

It is not a de Polignac number, because 4332140761 - 215 = 4332107993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4332140767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52194426 + ... + 52194508.

Almost surely, 24332140761 is an apocalyptic number.

4332140761 is the 65819-th square number.

4332140761 is the 32910-th centered octagonal number.

It is an amenable number.

4332140761 is a deficient number, since it is larger than the sum of its proper divisors (495190436).

4332140761 is an frugal number, since it uses more digits than its factorization.

4332140761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The cubic root of 4332140761 is about 1630.1748417967.

The spelling of 4332140761 in words is "four billion, three hundred thirty-two million, one hundred forty thousand, seven hundred sixty-one".

Divisors: 1 13 61 83 169 793 1079 3721 5063 6889 10309 14027 48373 65819 89557 308843 420229 628849 855647 1164241 4014959 5462977 25633969 52194467 71018701 333241597 4332140761