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40400113741 = 1353462112689
BaseRepresentation
bin100101101000000010…
…001101000001001101
310212021112221102100221
4211220002031001031
51130214412114431
630320510351341
72630103205111
oct455002150115
9125245842327
1040400113741
11161518a1459
1279b5abb551
133a6ac33860
141d537a1741
1510b6bbe111
hex96808d04d

40400113741 has 16 divisors (see below), whose sum is σ = 44341804080. Its totient is φ = 36577981440.

The previous prime is 40400113739. The next prime is 40400113813. The reversal of 40400113741 is 14731100404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5219484516 + 35180629225 = 72246^2 + 187565^2 .

It is not a de Polignac number, because 40400113741 - 21 = 40400113739 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400113441) 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, 3177525 + ... + 3190213.

It is an arithmetic number, because the mean of its divisors is an integer number (2771362755).

Almost surely, 240400113741 is an apocalyptic number.

It is an amenable number.

40400113741 is a deficient number, since it is larger than the sum of its proper divisors (3941690339).

40400113741 is a wasteful number, since it uses less digits than its factorization.

40400113741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376.

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 40400113741 in words is "forty billion, four hundred million, one hundred thirteen thousand, seven hundred forty-one".

Divisors: 1 13 53 689 4621 12689 60073 164957 244913 672517 3183869 8742721 58635869 762266297 3107701057 40400113741