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4141112412431 = 291391027316401
BaseRepresentation
bin111100010000101101100…
…010001100100100001111
3112122212221020120222122202
4330100231202030210033
51020321444234144211
612450222322432115
7605120424503261
oct74205542144417
915585836528582
104141112412431
111357265aa8725
1256a6aa20263b
13240674c96027
141046065bbb31
1572abe6b553b
hex3c42d88c90f

4141112412431 has 8 divisors (see below), whose sum is σ = 4314728888400. Its totient is φ = 3969550569600.

The previous prime is 4141112412383. The next prime is 4141112412499. The reversal of 4141112412431 is 1342142111414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4141112412431 - 226 = 4141045303567 is a prime.

It is a super-2 number, since 2×41411124124312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4141112412394 and 4141112412403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141112412631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513654170 + ... + 513662231.

It is an arithmetic number, because the mean of its divisors is an integer number (539341111050).

Almost surely, 24141112412431 is an apocalyptic number.

4141112412431 is a deficient number, since it is larger than the sum of its proper divisors (173616475969).

4141112412431 is a wasteful number, since it uses less digits than its factorization.

4141112412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027316569.

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

Adding to 4141112412431 its reverse (1342142111414), we get a palindrome (5483254523845).

The spelling of 4141112412431 in words is "four trillion, one hundred forty-one billion, one hundred twelve million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 29 139 4031 1027316401 29792175629 142796979739 4141112412431