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14124053000 = 235318897477
BaseRepresentation
bin11010010011101101…
…11111001000001000
31100110022220020022002
431021312333020020
5212411224144000
610253303250132
71010002320041
oct151166771010
940408806262
1014124053000
115a98729082
1228a2149948
131441224815
1497db698c8
15579e898d5
hex349dbf208

14124053000 has 64 divisors (see below), whose sum is σ = 33072202800. Its totient is φ = 5645875200.

The previous prime is 14124052993. The next prime is 14124053029. The reversal of 14124053000 is 35042141.

14124053000 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 8 ways, for example, as 2773707556 + 11350345444 = 52666^2 + 106538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 1885262 + ... + 1892738.

Almost surely, 214124053000 is an apocalyptic number.

14124053000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536101400).

14124053000 is an abundant number, since it is smaller than the sum of its proper divisors (18948149800).

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

14124053000 is a wasteful number, since it uses less digits than its factorization.

14124053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9373 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14124053000 its reverse (35042141), we get a palindrome (14159095141).

The spelling of 14124053000 in words is "fourteen billion, one hundred twenty-four million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1889 3778 7477 7556 9445 14954 15112 18890 29908 37385 37780 47225 59816 74770 75560 94450 149540 186925 188900 236125 299080 373850 377800 472250 747700 934625 944500 1495400 1869250 1889000 3738500 7477000 14124053 28248106 56496212 70620265 112992424 141240530 282481060 353101325 564962120 706202650 1412405300 1765506625 2824810600 3531013250 7062026500 14124053000