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40404400004031 = 372402379683087
BaseRepresentation
bin10010010111111011000011…
…11010001101101110111111
312022001121211002212202010120
421023331201322031232333
520243441202400112111
6221533305231510023
711340056461260600
oct1113754172155677
9168047732782116
1040404400004031
1111968456509638
124646787988313
13197117066a88b
149d9824b97da7
154a1027a50406
hex24bf61e8dbbf

40404400004031 has 24 divisors (see below), whose sum is σ = 62668296472320. Its totient is φ = 23088137394672.

The previous prime is 40404400003993. The next prime is 40404400004047. The reversal of 40404400004031 is 13040000440404.

It is not a de Polignac number, because 40404400004031 - 211 = 40404400001983 is a prime.

It is a super-2 number, since 2×404044000040312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40404400003992 and 40404400004010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404400004431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58808170 + ... + 59491256.

It is an arithmetic number, because the mean of its divisors is an integer number (2611179019680).

Almost surely, 240404400004031 is an apocalyptic number.

40404400004031 is a deficient number, since it is larger than the sum of its proper divisors (22263896468289).

40404400004031 is a wasteful number, since it uses less digits than its factorization.

40404400004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085483 (or 1085476 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40404400004031 its reverse (13040000440404), we get a palindrome (53444400444435).

The spelling of 40404400004031 in words is "forty trillion, four hundred four billion, four hundred million, four thousand, thirty-one".

Divisors: 1 3 7 21 49 147 402379 683087 1207137 2049261 2816653 4781609 8449959 14344827 19716571 33471263 59149713 100413789 274859863973 824579591919 1924019047811 5772057143433 13468133334677 40404400004031