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14244253000 = 235379180307
BaseRepresentation
bin11010100010000011…
…00000110101001000
31100202201002000200221
431101001200311020
5213133012044000
610313235435424
71012662103255
oct152101406510
940681060627
1014244253000
11604a56711a
122916455b74
1314600bb793
14991ad842c
155857ce61a
hex351060d48

14244253000 has 64 divisors (see below), whose sum is σ = 33753657600. Its totient is φ = 5625547200.

The previous prime is 14244252947. The next prime is 14244253021. The reversal of 14244253000 is 35244241.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11154 + ... + 169153.

It is an arithmetic number, because the mean of its divisors is an integer number (527400900).

Almost surely, 214244253000 is an apocalyptic number.

14244253000 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 14244253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876828800).

14244253000 is an abundant number, since it is smaller than the sum of its proper divisors (19509404600).

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

14244253000 is a wasteful number, since it uses less digits than its factorization.

14244253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180407 (or 180393 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14244253000 its reverse (35244241), we get a palindrome (14279497241).

The spelling of 14244253000 in words is "fourteen billion, two hundred forty-four million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 15800 19750 39500 79000 180307 360614 721228 901535 1442456 1803070 3606140 4507675 7212280 9015350 14244253 18030700 22538375 28488506 36061400 45076750 56977012 71221265 90153500 113954024 142442530 180307000 284885060 356106325 569770120 712212650 1424425300 1780531625 2848850600 3561063250 7122126500 14244253000