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14076080028 = 2232652959887
BaseRepresentation
bin11010001101111111…
…11110111110011100
31100022222121221202100
431012333332332130
5212311434030103
610244431125100
71005550464123
oct150677767634
940288557670
1014076080028
115a7364229a
12288a073790
1314342c8c4a
1497763caba
15575b605a3
hex346ffef9c

14076080028 has 36 divisors (see below), whose sum is σ = 35587246240. Its totient is φ = 4691229696.

The previous prime is 14076080027. The next prime is 14076080047. The reversal of 14076080028 is 82008067041.

14076080028 is a `hidden beast` number, since 1 + 40 + 7 + 608 + 0 + 0 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×140760800283 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14076079974 and 14076080001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14076080027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205101 + ... + 264987.

Almost surely, 214076080028 is an apocalyptic number.

14076080028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14076080028 is an abundant number, since it is smaller than the sum of its proper divisors (21511166212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14076080028 is a wasteful number, since it uses less digits than its factorization.

14076080028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66426 (or 66421 counting only the distinct ones).

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

The spelling of 14076080028 in words is "fourteen billion, seventy-six million, eighty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6529 13058 19587 26116 39174 58761 59887 78348 117522 119774 179661 235044 239548 359322 538983 718644 1077966 2155932 391002223 782004446 1173006669 1564008892 2346013338 3519020007 4692026676 7038040014 14076080028