Search a number
-
+
203312342224000 = 275312707021389
BaseRepresentation
bin101110001110100101010111…
…111011111100110010000000
3222122212110200200220022012001
4232032211113323330302000
5203122032134102132000
62000224222310513344
760552555241550512
oct5616452773746200
9878773620808161
10203312342224000
1159866309930949
121a977364065854
13895a36b944bb9
14382c526cc1bb2
1518789497b246a
hexb8e957efcc80

203312342224000 has 64 divisors (see below), whose sum is σ = 505485310894200. Its totient is φ = 81324936883200.

The previous prime is 203312342223961. The next prime is 203312342224021. The reversal of 203312342224000 is 422243213302.

It can be written as a sum of positive squares in 4 ways, for example, as 45856625149504 + 157455717074496 = 6771752^2 + 12548136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 203312342224000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6353494695 + ... + 6353526694.

Almost surely, 2203312342224000 is an apocalyptic number.

203312342224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203312342224000 is an abundant number, since it is smaller than the sum of its proper divisors (302172968670200).

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

203312342224000 is an equidigital number, since it uses as much as digits as its factorization.

203312342224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707021418 (or 12707021396 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 203312342224000 its reverse (422243213302), we get a palindrome (203734585437302).

The spelling of 203312342224000 in words is "two hundred three trillion, three hundred twelve billion, three hundred forty-two million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 12707021389 25414042778 50828085556 63535106945 101656171112 127070213890 203312342224 254140427780 317675534725 406624684448 508280855560 635351069450 813249368896 1016561711120 1270702138900 1588377673625 1626498737792 2033123422240 2541404277800 3176755347250 4066246844480 5082808555600 6353510694500 8132493688960 10165617111200 12707021389000 20331234222400 25414042778000 40662468444800 50828085556000 101656171112000 203312342224000