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40364584452 = 22321121238457
BaseRepresentation
bin100101100101111010…
…101010111000000100
310212012002002100100100
4211211322222320010
51130131313200302
630313201044100
72626162210143
oct454572527004
9125162070310
1040364584452
1116133834805
1279a6026630
133a63773bca
141d4cb9375a
1510b3a01d1c
hex965eaae04

40364584452 has 18 divisors (see below), whose sum is σ = 102032699678. Its totient is φ = 13454861472.

The previous prime is 40364584433. The next prime is 40364584471. The reversal of 40364584452 is 25448546304.

40364584452 is a `hidden beast` number, since 4 + 0 + 3 + 64 + 584 + 4 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40364584433) and next prime (40364584471).

It can be written as a sum of positive squares in only one way, i.e., 25739068356 + 14625516096 = 160434^2 + 120936^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 40364584398 and 40364584407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560619193 + ... + 560619264.

Almost surely, 240364584452 is an apocalyptic number.

It is an amenable number.

40364584452 is an abundant number, since it is smaller than the sum of its proper divisors (61668115226).

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

40364584452 is a wasteful number, since it uses less digits than its factorization.

40364584452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121238467 (or 1121238462 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 40364584452 in words is "forty billion, three hundred sixty-four million, five hundred eighty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1121238457 2242476914 3363715371 4484953828 6727430742 10091146113 13454861484 20182292226 40364584452