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40131432405 = 3251279697271
BaseRepresentation
bin100101011000000001…
…010000111111010101
310211120211100222212100
4211120001100333111
51124142121314110
630234111512313
72620331355441
oct453001207725
9124524328770
1040131432405
1116024169169
12793bb28699
133a2738000c
141d29c21821
15109d2e9bc0
hex958050fd5

40131432405 has 24 divisors (see below), whose sum is σ = 69615636480. Its totient is φ = 21386665440.

The previous prime is 40131432391. The next prime is 40131432409. The reversal of 40131432405 is 50423413104.

It is a happy number.

40131432405 is a `hidden beast` number, since 401 + 3 + 14 + 3 + 240 + 5 = 666.

It is not a de Polignac number, because 40131432405 - 220 = 40130383829 is a prime.

It is a super-2 number, since 2×401314324052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131432409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291081 + ... + 406190.

It is an arithmetic number, because the mean of its divisors is an integer number (2900651520).

Almost surely, 240131432405 is an apocalyptic number.

40131432405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40131432405 is a deficient number, since it is larger than the sum of its proper divisors (29484204075).

40131432405 is a wasteful number, since it uses less digits than its factorization.

40131432405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698561 (or 698558 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40131432405 its reverse (50423413104), we get a palindrome (90554845509).

The spelling of 40131432405 in words is "forty billion, one hundred thirty-one million, four hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 1279 3837 6395 11511 19185 57555 697271 2091813 3486355 6275439 10459065 31377195 891809609 2675428827 4459048045 8026286481 13377144135 40131432405