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40132414399 = 711521200187
BaseRepresentation
bin100101011000000101…
…000000101110111111
310211120220012212220111
4211120011000232333
51124142344230044
630234144530451
72620342615420
oct453005005677
9124526185814
1040132414399
1116024779a30
127940320a27
133a27634c8c
141d29dd9647
15109d440b34
hex958140bbf

40132414399 has 8 divisors (see below), whose sum is σ = 50035218048. Its totient is φ = 31272011160.

The previous prime is 40132414397. The next prime is 40132414417. The reversal of 40132414399 is 99341423104.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40132414399 - 21 = 40132414397 is a prime.

It is a super-2 number, since 2×401324143992 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132414391) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 260600017 + ... + 260600170.

It is an arithmetic number, because the mean of its divisors is an integer number (6254402256).

Almost surely, 240132414399 is an apocalyptic number.

40132414399 is a deficient number, since it is larger than the sum of its proper divisors (9902803649).

40132414399 is a wasteful number, since it uses less digits than its factorization.

40132414399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521200205.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 40132414399 in words is "forty billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred ninety-nine".

Divisors: 1 7 11 77 521200187 3648401309 5733202057 40132414399