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14139374000 = 24537069687
BaseRepresentation
bin11010010101100010…
…11011100110110000
31100111101201121202112
431022301123212300
5212424134432000
610255011504452
71010246460503
oct151261334660
940441647675
1014139374000
115aa6342a64
1228a72b8128
13144445a2bb
14981bd713a
1557b4b4235
hex34ac5b9b0

14139374000 has 40 divisors (see below), whose sum is σ = 34189011168. Its totient is φ = 5655748800.

The previous prime is 14139373987. The next prime is 14139374003. The reversal of 14139374000 is 47393141.

14139374000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×141393740002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14139374003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3532844 + ... + 3536843.

Almost surely, 214139374000 is an apocalyptic number.

14139374000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14139374000 is an abundant number, since it is smaller than the sum of its proper divisors (20049637168).

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

14139374000 is an equidigital number, since it uses as much as digits as its factorization.

14139374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069710 (or 7069694 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 14139374000 in words is "fourteen billion, one hundred thirty-nine million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 7069687 14139374 28278748 35348435 56557496 70696870 113114992 141393740 176742175 282787480 353484350 565574960 706968700 883710875 1413937400 1767421750 2827874800 3534843500 7069687000 14139374000