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14076282141 = 37235
BaseRepresentation
bin11010001110000001…
…10000010100011101
31100100000000020000000
431013000300110131
5212312012012031
610244435324513
71005552265305
oct150700602435
940300006000
1014076282141
115a73770129
12288a150739
131434369c3c
14977692605
15575ba03e6
hex34703051d

14076282141 has 48 divisors (see below), whose sum is σ = 22070805120. Its totient is φ = 8976179916.

The previous prime is 14076282119. The next prime is 14076282161. The reversal of 14076282141 is 14128267041.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14076282141 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 628 + 21 + 4 + 1 = 666.

It is not a de Polignac number, because 14076282141 - 29 = 14076281629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14076282096 and 14076282105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14076282161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612012256 + ... + 612012278.

It is an arithmetic number, because the mean of its divisors is an integer number (459808440).

Almost surely, 214076282141 is an apocalyptic number.

It is an amenable number.

14076282141 is a deficient number, since it is larger than the sum of its proper divisors (7994522979).

14076282141 is an frugal number, since it uses more digits than its factorization.

14076282141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14076282141 in words is "fourteen billion, seventy-six million, two hundred eighty-two thousand, one hundred forty-one".

Divisors: 1 3 9 23 27 69 81 207 243 529 621 729 1587 1863 2187 4761 5589 12167 14283 16767 36501 42849 50301 109503 128547 279841 328509 385641 839523 985527 1156923 2518569 2956581 6436343 7555707 8869743 19309029 22667121 26609229 57927087 68001363 173781261 204004089 521343783 612012267 1564031349 4692094047 14076282141