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14401560040 = 2357214324001
BaseRepresentation
bin11010110100110011…
…00101110111101000
31101011200002001101121
431122121211313220
5213443244410130
610341015225024
71016612145340
oct153231456750
941150061347
1014401560040
11612033a23a
12295b078174
13148687857a
149a8965d20
15594503d7a
hex35a665de8

14401560040 has 64 divisors (see below), whose sum is σ = 37051407360. Its totient is φ = 4935168000.

The previous prime is 14401560031. The next prime is 14401560067. The reversal of 14401560040 is 4006510441.

It is a junction number, because it is equal to n+sod(n) for n = 14401559987 and 14401560014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588040 + ... + 612040.

It is an arithmetic number, because the mean of its divisors is an integer number (578928240).

Almost surely, 214401560040 is an apocalyptic number.

14401560040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401560040 is an abundant number, since it is smaller than the sum of its proper divisors (22649847320).

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

14401560040 is a wasteful number, since it uses less digits than its factorization.

14401560040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26162 (or 26158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 14401560040 in words is "fourteen billion, four hundred one million, five hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2143 4286 8572 10715 15001 17144 21430 24001 30002 42860 48002 60004 75005 85720 96004 120005 120008 150010 168007 192008 240010 300020 336014 480020 600040 672028 840035 960040 1344056 1680070 3360140 6720280 51434143 102868286 205736572 257170715 360039001 411473144 514341430 720078002 1028682860 1440156004 1800195005 2057365720 2880312008 3600390010 7200780020 14401560040