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14142324141 = 3311127374939
BaseRepresentation
bin11010010101111001…
…01011110110101101
31100111121021111121000
431022330223312231
5212430413333031
610255155030513
71010313525501
oct151274536655
940447244530
1014142324141
115aa7a784a0
1228a829b439
131444c5104a
14982364301
1557b8983e6
hex34af2bdad

14142324141 has 32 divisors (see below), whose sum is σ = 23036313600. Its totient is φ = 8503593840.

The previous prime is 14142324107. The next prime is 14142324173.

14142324141 is a `hidden beast` number, since 1 + 4 + 14 + 232 + 414 + 1 = 666.

14142324141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14142324141 - 226 = 14075215277 is a prime.

It is a super-2 number, since 2×141423241412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142324181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149751 + ... + 225188.

It is an arithmetic number, because the mean of its divisors is an integer number (719884800).

Almost surely, 214142324141 is an apocalyptic number.

14142324141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14142324141 is a deficient number, since it is larger than the sum of its proper divisors (8893989459).

14142324141 is a wasteful number, since it uses less digits than its factorization.

14142324141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375086 (or 375080 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The spelling of 14142324141 in words is "fourteen billion, one hundred forty-two million, three hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 127 297 381 1143 1397 3429 4191 12573 37719 374939 1124817 3374451 4124329 10123353 12372987 37118961 47617253 111356883 142851759 428555277 523789783 1285665831 1571369349 4714108047 14142324141