Search a number
-
+
13133415144 = 23317191694197
BaseRepresentation
bin11000011101101000…
…00000001011101000
31020220021211121122010
430032310000023220
5203344123241034
610011114355520
7643313121033
oct141664001350
936807747563
1013133415144
11562a51a203
12266642bba0
131313c14a85
148c837801a
1551d0073e9
hex30ed002e8

13133415144 has 64 divisors (see below), whose sum is σ = 36594676800. Its totient is φ = 3903427584.

The previous prime is 13133415131. The next prime is 13133415149. The reversal of 13133415144 is 44151433131.

It is not an unprimeable number, because it can be changed into a prime (13133415149) 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 15 ways as a sum of consecutive naturals, for example, 839347 + ... + 854850.

It is an arithmetic number, because the mean of its divisors is an integer number (571791825).

Almost surely, 213133415144 is an apocalyptic number.

It is an amenable number.

13133415144 is an abundant number, since it is smaller than the sum of its proper divisors (23461261656).

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

13133415144 is a wasteful number, since it uses less digits than its factorization.

13133415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694242 (or 1694238 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

Adding to 13133415144 its reverse (44151433131), we get a palindrome (57284848275).

The spelling of 13133415144 in words is "thirteen billion, one hundred thirty-three million, four hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 1694197 3388394 5082591 6776788 10165182 13553576 20330364 28801349 32189743 40660728 57602698 64379486 86404047 96569229 115205396 128758972 172808094 193138458 230410792 257517944 345616188 386276916 547225631 691232376 772553832 1094451262 1641676893 2188902524 3283353786 4377805048 6566707572 13133415144