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2331054144 = 2632171012357
BaseRepresentation
bin1000101011110001…
…0001000001000000
320000110021211010200
42022330101001000
514233222213034
61023150325200
7111523430136
oct21274210100
96013254120
102331054144
11a96901531
125507b9800
132b1c28ba3
14181833756
15d99a7a99
hex8af11040

2331054144 has 168 divisors, whose sum is σ = 7147654488. Its totient is φ = 723763200.

The previous prime is 2331054137. The next prime is 2331054157. The reversal of 2331054144 is 4414501332.

It is a happy number.

2331054144 is a `hidden beast` number, since 233 + 10 + 5 + 414 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 878529600 + 1452524544 = 29640^2 + 38112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987814 + ... + 990170.

Almost surely, 22331054144 is an apocalyptic number.

2331054144 is a gapful number since it is divisible by the number (24) 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 2331054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573827244).

2331054144 is an abundant number, since it is smaller than the sum of its proper divisors (4816600344).

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

2331054144 is a wasteful number, since it uses less digits than its factorization.

2331054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2331054144 is about 48280.9915391140. The cubic root of 2331054144 is about 1325.9204036222.

Adding to 2331054144 its reverse (4414501332), we get a palindrome (6745555476).

The spelling of 2331054144 in words is "two billion, three hundred thirty-one million, fifty-four thousand, one hundred forty-four".