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40142134431 = 3271748936433
BaseRepresentation
bin100101011000101010…
…000101110010011111
310211121120111201021200
4211120222011302133
51124202341300211
630235133130543
72620521340620
oct453052056237
9124546451250
1040142134431
111602a208813
127943629a53
133a29659289
141d2b409a47
15109e210b56
hex958a85c9f

40142134431 has 24 divisors (see below), whose sum is σ = 66271988640. Its totient is φ = 22936421376.

The previous prime is 40142134379. The next prime is 40142134433. The reversal of 40142134431 is 13443124104.

40142134431 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 213 + 443 + 1 = 666.

40142134431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40142134431 - 26 = 40142134367 is a prime.

It is a super-2 number, since 2×401421344312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40142134395 and 40142134404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142134433) 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, 1083591 + ... + 1120023.

It is an arithmetic number, because the mean of its divisors is an integer number (2761332860).

Almost surely, 240142134431 is an apocalyptic number.

40142134431 is a deficient number, since it is larger than the sum of its proper divisors (26129854209).

40142134431 is a wasteful number, since it uses less digits than its factorization.

40142134431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53935 (or 53932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40142134431 its reverse (13443124104), we get a palindrome (53585258535).

The spelling of 40142134431 in words is "forty billion, one hundred forty-two million, one hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 17489 36433 52467 109299 122423 157401 255031 327897 367269 765093 1101807 2295279 637176737 1911530211 4460237159 5734590633 13380711477 40142134431