Search a number
-
+
14005634040 = 2332542719109
BaseRepresentation
bin11010000101100110…
…10000001111111000
31100011002001221000200
431002303100033320
5212140420242130
610233433202200
71004033632206
oct150263201770
940132057020
1014005634040
115a378a7172
12286a560360
131422832428
1496c142076
1556e897760
hex342cd03f8

14005634040 has 96 divisors (see below), whose sum is σ = 45533966400. Its totient is φ = 3733551360.

The previous prime is 14005634039. The next prime is 14005634171. The reversal of 14005634040 is 4043650041.

It is a junction number, because it is equal to n+sod(n) for n = 14005633995 and 14005634013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533006 + ... + 1542114.

It is an arithmetic number, because the mean of its divisors is an integer number (474312150).

Almost surely, 214005634040 is an apocalyptic number.

14005634040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14005634040 is an abundant number, since it is smaller than the sum of its proper divisors (31528332360).

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

14005634040 is a wasteful number, since it uses less digits than its factorization.

14005634040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13397 (or 13390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14005634040 in words is "fourteen billion, five million, six hundred thirty-four thousand, forty".

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 4271 8542 9109 12813 17084 18218 21355 25626 27327 34168 36436 38439 42710 45545 51252 54654 64065 72872 76878 81981 85420 91090 102504 109308 128130 136635 153756 163962 170840 182180 192195 218616 256260 273270 307512 327924 364360 384390 409905 512520 546540 655848 768780 819810 1093080 1537560 1639620 3279240 38904539 77809078 116713617 155618156 194522695 233427234 311236312 350140851 389045390 466854468 583568085 700281702 778090780 933708936 1167136170 1400563404 1556181560 1750704255 2334272340 2801126808 3501408510 4668544680 7002817020 14005634040