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14182677628141 = 115324327062827
BaseRepresentation
bin1100111001100010100101…
…1101100100010011101101
31212012211222012002222021211
43032120221131210103231
53324332110433100031
650055233202354421
72662443654515521
oct316305135442355
955184865088254
1014182677628141
114578926863490
12171084605ba11
137bb56154b039
14370633b15d81
15198dcd71cbb1
hexce6297644ed

14182677628141 has 8 divisors (see below), whose sum is σ = 15763936712544. Its totient is φ = 12650072669520.

The previous prime is 14182677628129. The next prime is 14182677628151.

14182677628141 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 14182677628141 - 217 = 14182677497069 is a prime.

It is a super-2 number, since 2×141826776281412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14182677628151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12163530831 + ... + 12163531996.

It is an arithmetic number, because the mean of its divisors is an integer number (1970492089068).

Almost surely, 214182677628141 is an apocalyptic number.

14182677628141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14182677628141 is a deficient number, since it is larger than the sum of its proper divisors (1581259084403).

14182677628141 is a wasteful number, since it uses less digits than its factorization.

14182677628141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24327062891.

The product of its digits is 7225344, while the sum is 58.

The spelling of 14182677628141 in words is "fourteen trillion, one hundred eighty-two billion, six hundred seventy-seven million, six hundred twenty-eight thousand, one hundred forty-one".

Divisors: 1 11 53 583 24327062827 267597691097 1289334329831 14182677628141