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14145233254141 = 1143229130591073
BaseRepresentation
bin1100110111010111000110…
…0110100111011011111101
31212002021022121220200121011
43031311301212213123331
53323223414203113031
650030121435435221
72656650031552423
oct315656146473375
955067277820534
1014145233254141
114563a61452050
121705535bb5b11
137b7b74aa3012
1436c8c0b19113
15197e3b29d6b1
hexcdd719a76fd

14145233254141 has 16 divisors (see below), whose sum is σ = 15858980026560. Its totient is φ = 12505401054720.

The previous prime is 14145233254133. The next prime is 14145233254151.

14145233254141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14145233254141 - 23 = 14145233254133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14145233254094 and 14145233254103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145233254151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65187220 + ... + 65403853.

It is an arithmetic number, because the mean of its divisors is an integer number (991186251660).

Almost surely, 214145233254141 is an apocalyptic number.

14145233254141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14145233254141 is a deficient number, since it is larger than the sum of its proper divisors (1713746772419).

14145233254141 is a wasteful number, since it uses less digits than its factorization.

14145233254141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130591356.

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 1414523 and 3254141, that added together give a palindrome (4668664).

The spelling of 14145233254141 in words is "fourteen trillion, one hundred forty-five billion, two hundred thirty-three million, two hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 11 43 229 473 2519 9847 108317 130591073 1436501803 5615416139 29905355717 61769577529 328958912887 1285930295831 14145233254141