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4042104414131 = 72661493125309
BaseRepresentation
bin111010110100100000001…
…100101001111110110011
3112022102101012120112220202
4322310200030221332303
51012211212212223011
612332530033425415
7565014054424100
oct72644014517663
915272335515822
104042104414131
111319279623143
1255347870b26b
13234226b53054
14dd8d31c5aa7
15702275cc23b
hex3ad20329fb3

4042104414131 has 24 divisors (see below), whose sum is σ = 4710294467280. Its totient is φ = 3458581156800.

The previous prime is 4042104414109. The next prime is 4042104414137. The reversal of 4042104414131 is 1314144012404.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4042104414131 is a prime.

It is a super-2 number, since 2×40421044141312 (a number of 26 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 = 4042104414094 and 4042104414103.

It is not an unprimeable number, because it can be changed into a prime (4042104414137) 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, 159697505 + ... + 159722813.

It is an arithmetic number, because the mean of its divisors is an integer number (196262269470).

Almost surely, 24042104414131 is an apocalyptic number.

4042104414131 is a deficient number, since it is larger than the sum of its proper divisors (668190053149).

4042104414131 is a wasteful number, since it uses less digits than its factorization.

4042104414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30915 (or 30908 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 4042104414131 its reverse (1314144012404), we get a palindrome (5356248426535).

The spelling of 4042104414131 in words is "four trillion, forty-two billion, one hundred four million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 49 661 4627 4931 25309 32389 34517 177163 241619 1240141 3259391 16729249 22815737 117104743 124798679 159710159 819733201 873590753 6115135271 82491926819 577443487733 4042104414131