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14124445000 = 23542824889
BaseRepresentation
bin11010010011110000…
…11110110101001000
31100110100122011000121
431021320132311020
5212411324220000
610253315513024
71010005541641
oct151170366510
940410564017
1014124445000
115a98976646
1228a22b8774
131441331083
1497dc2c6c8
1557a015b1a
hex349e1ed48

14124445000 has 40 divisors (see below), whose sum is σ = 33093586350. Its totient is φ = 5649776000.

The previous prime is 14124444977. The next prime is 14124445033. The reversal of 14124445000 is 54442141.

14124445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 516289284 + 13608155716 = 22722^2 + 116654^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1407445 + ... + 1417444.

Almost surely, 214124445000 is an apocalyptic number.

14124445000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124445000 is an abundant number, since it is smaller than the sum of its proper divisors (18969141350).

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

14124445000 is an equidigital number, since it uses as much as digits as its factorization.

14124445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824915 (or 2824896 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 14124445000 its reverse (54442141), we get a palindrome (14178887141).

The spelling of 14124445000 in words is "fourteen billion, one hundred twenty-four million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 2824889 5649778 11299556 14124445 22599112 28248890 56497780 70622225 112995560 141244450 282488900 353111125 564977800 706222250 1412444500 1765555625 2824889000 3531111250 7062222500 14124445000