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14448017000 = 235314448017
BaseRepresentation
bin11010111010010101…
…10011111001101000
31101021220111022100202
431131022303321220
5214042143021000
610345355051332
71021015055354
oct153512637150
941256438322
1014448017000
11614459001a
122972740b48
1314933930b1
149b0bba464
1559862ddd5
hex35d2b3e68

14448017000 has 32 divisors (see below), whose sum is σ = 33808362120. Its totient is φ = 5779206400.

The previous prime is 14448016981. The next prime is 14448017021. The reversal of 14448017000 is 71084441.

It can be written as a sum of positive squares in 4 ways, for example, as 6852197284 + 7595819716 = 82778^2 + 87154^2 .

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 7 ways as a sum of consecutive naturals, for example, 7223009 + ... + 7225008.

Almost surely, 214448017000 is an apocalyptic number.

14448017000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14448017000 is an abundant number, since it is smaller than the sum of its proper divisors (19360345120).

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

14448017000 is a wasteful number, since it uses less digits than its factorization.

14448017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14448038 (or 14448024 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 14448017000 in words is "fourteen billion, four hundred forty-eight million, seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 14448017 28896034 57792068 72240085 115584136 144480170 288960340 361200425 577920680 722400850 1444801700 1806002125 2889603400 3612004250 7224008500 14448017000