Search a number
-
+
2300393181264 = 243183611261013
BaseRepresentation
bin100001011110011010000…
…111100101000001010000
322010220201100121120000020
4201132122013211001100
5300142201123300024
64520441441223440
7325124613262443
oct41363207450120
98126640546006
102300393181264
11807655a85a82
123119b9031b80
13138c069879c9
147d4a7cdd65a
153ec89e54979
hex2179a1e5050

2300393181264 has 40 divisors (see below), whose sum is σ = 5942737518432. Its totient is φ = 766790613120.

The previous prime is 2300393181263. The next prime is 2300393181311. The reversal of 2300393181264 is 4621813930032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300393181263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8682822 + ... + 8943834.

Almost surely, 22300393181264 is an apocalyptic number.

2300393181264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2300393181264 is an abundant number, since it is smaller than the sum of its proper divisors (3642344337168).

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

2300393181264 is a wasteful number, since it uses less digits than its factorization.

2300393181264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444635 (or 444629 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 2300393181264 in words is "two trillion, three hundred billion, three hundred ninety-three million, one hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 183611 261013 367222 522026 550833 734444 783039 1044052 1101666 1468888 1566078 2088104 2203332 2937776 3132156 4176208 4406664 6264312 8813328 12528624 47924857943 95849715886 143774573829 191699431772 287549147658 383398863544 575098295316 766797727088 1150196590632 2300393181264