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14153135105 = 537531443461
BaseRepresentation
bin11010010111001011…
…11011010000000001
31100112100121202110002
431023211323100001
5212441200310410
610300222445345
71010504443364
oct151345732001
940470552402
1014153135105
11600309197a
1228aba33855
131447267a75
1498397a0db
1557c7d17a5
hex34b97b401

14153135105 has 16 divisors (see below), whose sum is σ = 17771904144. Its totient is φ = 10808628480.

The previous prime is 14153135057. The next prime is 14153135153. The reversal of 14153135105 is 50153135141.

It is an interprime number because it is at equal distance from previous prime (14153135057) and next prime (14153135153).

It can be written as a sum of positive squares in 8 ways, for example, as 1482481009 + 12670654096 = 38503^2 + 112564^2 .

It is not a de Polignac number, because 14153135105 - 210 = 14153134081 is a prime.

It is a super-2 number, since 2×141531351052 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711926 + ... + 731535.

It is an arithmetic number, because the mean of its divisors is an integer number (1110744009).

Almost surely, 214153135105 is an apocalyptic number.

It is an amenable number.

14153135105 is a deficient number, since it is larger than the sum of its proper divisors (3618769039).

14153135105 is a wasteful number, since it uses less digits than its factorization.

14153135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443556.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 14153135105 in words is "fourteen billion, one hundred fifty-three million, one hundred thirty-five thousand, one hundred five".

Divisors: 1 5 37 53 185 265 1961 9805 1443461 7217305 53408057 76503433 267040285 382517165 2830627021 14153135105