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404040432023131 = 4143291778566261
BaseRepresentation
bin101101111011110001111111…
…0011011001111011001011011
31221222120212222101221101220011
41123313203332123033121123
5410424244301044220011
63551153340111342351
7151050646363314061
oct13367437633173133
91858525871841804
10404040432023131
11107815648623712
12393958ab2219b7
131445ab06a70117
1471ab938694031
1531aa0439ac621
hex16f78fe6cf65b

404040432023131 has 16 divisors (see below), whose sum is σ = 423665739449568. Its totient is φ = 384886679788800.

The previous prime is 404040432023089. The next prime is 404040432023177. The reversal of 404040432023131 is 131320234040404.

It is a cyclic number.

It is not a de Polignac number, because 404040432023131 - 27 = 404040432023003 is a prime.

It is a super-2 number, since 2×4040404320231312 (a number of 30 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 = 404040432023093 and 404040432023102.

It is not an unprimeable number, because it can be changed into a prime (404040432023231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34140460 + ... + 44425801.

It is an arithmetic number, because the mean of its divisors is an integer number (26479108715598).

Almost surely, 2404040432023131 is an apocalyptic number.

404040432023131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

404040432023131 is a deficient number, since it is larger than the sum of its proper divisors (19625307426437).

404040432023131 is a wasteful number, since it uses less digits than its factorization.

404040432023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78569262.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 404040432023131 its reverse (131320234040404), we get a palindrome (535360666063535).

The spelling of 404040432023131 in words is "four hundred four trillion, forty billion, four hundred thirty-two million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 41 43 1763 2917 119597 125431 5142671 78566261 3221216701 3378349223 138512318143 229177783337 9396289116817 9854644683491 404040432023131