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40241114241131 = 1272557585121179
BaseRepresentation
bin10010010011001010111010…
…10100011101100001101011
312021111000100102220112210102
421021211131110131201223
520233302300221204011
6221330302423140015
711322216216216656
oct1111453524354153
9167430312815712
1040241114241131
11119051849a6151
12461abb78a460b
13195b94a764c6b
149d1974b3289d
1549bb6c8c373b
hex24995d51d86b

40241114241131 has 16 divisors (see below), whose sum is σ = 40582685552640. Its totient is φ = 39899936512800.

The previous prime is 40241114241043. The next prime is 40241114241149. The reversal of 40241114241131 is 13114241114204.

40241114241131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40241114241131 is a prime.

It is a super-2 number, since 2×402411142411312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40241114241094 and 40241114241103.

It is not an unprimeable number, because it can be changed into a prime (40241114244131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900037300 + ... + 1900058478.

It is an arithmetic number, because the mean of its divisors is an integer number (2536417847040).

Almost surely, 240241114241131 is an apocalyptic number.

40241114241131 is a deficient number, since it is larger than the sum of its proper divisors (341571311509).

40241114241131 is a wasteful number, since it uses less digits than its factorization.

40241114241131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29714.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 40241114241131 its reverse (13114241114204), we get a palindrome (53355355355335).

The spelling of 40241114241131 in words is "forty trillion, two hundred forty-one billion, one hundred fourteen million, two hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 127 2557 5851 21179 324739 743077 2689733 14961007 54154703 123918329 1900047889 6877647281 15737627783 316859167253 40241114241131