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6414142414146 = 234126073749651
BaseRepresentation
bin101110101010110100010…
…1011100001110101000010
3211201012000121112222221120
41131111220223201311002
51320042130424223041
621350341044133110
71231256266644255
oct135255053416502
924635017488846
106414142414146
11205324a1a3925
1287712b397196
13376b0a95111c
1418263633b09c
15b1ca7246366
hex5d568ae1d42

6414142414146 has 16 divisors (see below), whose sum is σ = 13141169824608. Its totient is φ = 2085899972000.

The previous prime is 6414142414139. The next prime is 6414142414157.

It is a happy number.

6414142414146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64141424141462 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6414142414098 and 6414142414107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13036874580 + ... + 13036875071.

It is an arithmetic number, because the mean of its divisors is an integer number (821323114038).

Almost surely, 26414142414146 is an apocalyptic number.

6414142414146 is an abundant number, since it is smaller than the sum of its proper divisors (6727027410462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6414142414146 is a wasteful number, since it uses less digits than its factorization.

6414142414146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26073749697.

The product of its digits is 294912, while the sum is 42.

The spelling of 6414142414146 in words is "six trillion, four hundred fourteen billion, one hundred forty-two million, four hundred fourteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 41 82 123 246 26073749651 52147499302 78221248953 156442497906 1069023735691 2138047471382 3207071207073 6414142414146