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2315141440 = 2657234817
BaseRepresentation
bin1000100111111110…
…0100000101000000
312222100100101000021
42021333210011000
514220134011230
61021421303224
7111241243333
oct21177440500
95870311007
102315141440
11a88923037
12547404b14
132ab846ca1
1417d69061a
15d83b2c7a
hex89fe4140

2315141440 has 28 divisors (see below), whose sum is σ = 5512931316. Its totient is φ = 926056448.

The previous prime is 2315141377. The next prime is 2315141441. The reversal of 2315141440 is 441415132.

It can be written as a sum of positive squares in 2 ways, for example, as 1807270144 + 507871296 = 42512^2 + 22536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3617089 + ... + 3617728.

Almost surely, 22315141440 is an apocalyptic number.

2315141440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315141440 is an abundant number, since it is smaller than the sum of its proper divisors (3197789876).

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

2315141440 is an equidigital number, since it uses as much as digits as its factorization.

2315141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234834 (or 7234824 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2315141440 is about 48115.9167012331. The cubic root of 2315141440 is about 1322.8964252669.

Adding to 2315141440 its reverse (441415132), we get a palindrome (2756556572).

The spelling of 2315141440 in words is "two billion, three hundred fifteen million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7234817 14469634 28939268 36174085 57878536 72348170 115757072 144696340 231514144 289392680 463028288 578785360 1157570720 2315141440