Search a number
-
+
13221252144 = 2432194832329
BaseRepresentation
bin11000101000000110…
…00100110000110000
31021010102010012100100
430110003010300300
5204034120032034
610023533152400
7645430534422
oct142403046060
937112105310
1013221252144
115675063471
12268b92b700
13132918a329
148d5cc0812
15525aa8099
hex3140c4c30

13221252144 has 60 divisors (see below), whose sum is σ = 38948579800. Its totient is φ = 4175131392.

The previous prime is 13221252137. The next prime is 13221252151. The reversal of 13221252144 is 44125212231.

13221252144 is a `hidden beast` number, since 1 + 322 + 125 + 214 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13221252137) and next prime (13221252151).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2413429 + ... + 2418900.

Almost surely, 213221252144 is an apocalyptic number.

It is an amenable number.

13221252144 is an abundant number, since it is smaller than the sum of its proper divisors (25727327656).

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

13221252144 is a wasteful number, since it uses less digits than its factorization.

13221252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832362 (or 4832353 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 13221252144 its reverse (44125212231), we get a palindrome (57346464375).

The spelling of 13221252144 in words is "thirteen billion, two hundred twenty-one million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4832329 9664658 14496987 19329316 28993974 38658632 43490961 57987948 77317264 86981922 91814251 115975896 173963844 183628502 231951792 275442753 347927688 367257004 550885506 695855376 734514008 826328259 1101771012 1469028016 1652656518 2203542024 3305313036 4407084048 6610626072 13221252144