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14113021320 = 2332539202837
BaseRepresentation
bin11010010010011001…
…11001110110001000
31100102120010202200100
431021030321312020
5212400413140240
610252231005400
71006506462516
oct151114716610
940376122610
1014113021320
115a92483892
12289a509860
13143bb614b8
1497c4d74b6
1557900ae30
hex349339d88

14113021320 has 48 divisors (see below), whose sum is σ = 45867320460. Its totient is φ = 3763472256.

The previous prime is 14113021301. The next prime is 14113021399. The reversal of 14113021320 is 2312031141.

14113021320 is a `hidden beast` number, since 1 + 41 + 1 + 302 + 1 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11847451716 + 2265569604 = 108846^2 + 47598^2 .

It is a super-3 number, since 3×141130213203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14113021293 and 14113021302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19601059 + ... + 19601778.

Almost surely, 214113021320 is an apocalyptic number.

14113021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14113021320 is an abundant number, since it is smaller than the sum of its proper divisors (31754299140).

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

14113021320 is a wasteful number, since it uses less digits than its factorization.

14113021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39202854 (or 39202847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14113021320 its reverse (2312031141), we get a palindrome (16425052461).

The spelling of 14113021320 in words is "fourteen billion, one hundred thirteen million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 39202837 78405674 117608511 156811348 196014185 235217022 313622696 352825533 392028370 470434044 588042555 705651066 784056740 940868088 1176085110 1411302132 1568113480 1764127665 2352170220 2822604264 3528255330 4704340440 7056510660 14113021320