Search a number
-
+
13242715929 = 328924312
BaseRepresentation
bin11000101010101001…
…11100111100011001
31021011220111200010100
430111110330330121
5204110113402204
610030021210013
7646111141152
oct142524747431
937156450110
1013242715929
115686193533
122696b60909
131330763ab1
148d8aaa929
155278e7a39
hex31553cf19

13242715929 has 27 divisors (see below), whose sum is σ = 19390697599. Its totient is φ = 8709027360.

The previous prime is 13242715921. The next prime is 13242715939. The reversal of 13242715929 is 92951724231.

The square root of 13242715929 is 115077.

It is a perfect power (a square), and thus also a powerful number.

13242715929 is a `hidden beast` number, since 1 + 32 + 4 + 27 + 1 + 592 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2542882329 + 10699833600 = 50427^2 + 103440^2 .

It is not a de Polignac number, because 13242715929 - 23 = 13242715921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13242715921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30725344 + ... + 30725774.

Almost surely, 213242715929 is an apocalyptic number.

13242715929 is the 115077-th square number.

13242715929 is the 57539-th centered octagonal number.

It is an amenable number.

13242715929 is a deficient number, since it is larger than the sum of its proper divisors (6147981670).

13242715929 is an frugal number, since it uses more digits than its factorization.

13242715929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 523 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 13242715929 in words is "thirteen billion, two hundred forty-two million, seven hundred fifteen thousand, nine hundred twenty-nine".

Divisors: 1 3 9 89 267 431 801 1293 3879 7921 23763 38359 71289 115077 185761 345231 557283 1671849 3413951 10241853 16532729 30725559 49598187 148794561 1471412881 4414238643 13242715929