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4144131324 = 2232115114759
BaseRepresentation
bin1111011100000010…
…0110110011111100
3101200210220200110100
43313000212303330
531441344200244
61523115041100
7204460351344
oct36700466374
911623820410
104144131324
111837288223
12977a40190
13510747318
142b4551d24
15193c45b69
hexf7026cfc

4144131324 has 18 divisors (see below), whose sum is σ = 10475443160. Its totient is φ = 1381377096.

The previous prime is 4144131269. The next prime is 4144131331. The reversal of 4144131324 is 4231314414.

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57557344 + ... + 57557415.

Almost surely, 24144131324 is an apocalyptic number.

It is an amenable number.

4144131324 is an abundant number, since it is smaller than the sum of its proper divisors (6331311836).

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

4144131324 is a wasteful number, since it uses less digits than its factorization.

4144131324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115114769 (or 115114764 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4144131324 is about 64374.9277591828. The cubic root of 4144131324 is about 1606.2427106534.

Adding to 4144131324 its reverse (4231314414), we get a palindrome (8375445738).

The spelling of 4144131324 in words is "four billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 115114759 230229518 345344277 460459036 690688554 1036032831 1381377108 2072065662 4144131324