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12334440041 = 71124128663
BaseRepresentation
bin10110111110011000…
…01001111001101001
31011211121102110211122
423133030021321221
5200230104040131
65355533505025
7614442003410
oct133714117151
934747373748
1012334440041
11525a519400
122482942175
131217530541
148501d8477
154c2cd3d7b
hex2df309e69

12334440041 has 36 divisors (see below), whose sum is σ = 15883468608. Its totient is φ = 9375748800.

The previous prime is 12334440017. The next prime is 12334440047. The reversal of 12334440041 is 14004443321.

It is not a de Polignac number, because 12334440041 - 214 = 12334423657 is a prime.

It is a super-2 number, since 2×123344400412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12334440047) 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 35 ways as a sum of consecutive naturals, for example, 1419476 + ... + 1428138.

Almost surely, 212334440041 is an apocalyptic number.

12334440041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12334440041 is a deficient number, since it is larger than the sum of its proper divisors (3549028567).

12334440041 is an equidigital number, since it uses as much as digits as its factorization.

12334440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12334440041 its reverse (14004443321), we get a palindrome (26338883362).

The spelling of 12334440041 in words is "twelve billion, three hundred thirty-four million, four hundred forty thousand, forty-one".

Divisors: 1 7 11 41 77 121 287 451 847 1681 3157 4961 8663 11767 18491 34727 60641 95293 129437 203401 355183 667051 1048223 1423807 2486281 3907013 7337561 14562503 27349091 42977143 101937521 160187533 300840001 1121312731 1762062863 12334440041