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40132414401 = 3127475122171
BaseRepresentation
bin100101011000000101…
…000000101111000001
310211120220012212220120
4211120011000233001
51124142344230101
630234144530453
72620342615422
oct453005005701
9124526185816
1040132414401
1116024779a32
127940320a29
133a27634c91
141d29dd9649
15109d440b36
hex958140bc1

40132414401 has 16 divisors (see below), whose sum is σ = 53945008128. Its totient is φ = 26537490000.

The previous prime is 40132414397. The next prime is 40132414417. The reversal of 40132414401 is 10441423104.

It is not a de Polignac number, because 40132414401 - 22 = 40132414397 is a prime.

It is a super-2 number, since 2×401324144012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40132414481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1799046 + ... + 1821216.

It is an arithmetic number, because the mean of its divisors is an integer number (3371563008).

Almost surely, 240132414401 is an apocalyptic number.

It is an amenable number.

40132414401 is a deficient number, since it is larger than the sum of its proper divisors (13812593727).

40132414401 is a wasteful number, since it uses less digits than its factorization.

40132414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27052.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40132414401 its reverse (10441423104), we get a palindrome (50573837505).

The spelling of 40132414401 in words is "forty billion, one hundred thirty-two million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 127 381 4751 14253 22171 66513 603377 1810131 2815717 8447151 105334421 316003263 13377471467 40132414401