Search a number
-
+
13242641233936 = 249097612
BaseRepresentation
bin1100000010110100101011…
…1011010011100000010000
31201212222120102210100002111
43000231022323103200100
53213431412123441221
644055330240155104
72534514665144602
oct300551273234020
951788512710074
1013242641233936
1142461998180a4
12159a619908a94
13750a1130915a
1433ad393ab172
1517e71141abe1
hexc0b4aed3810

13242641233936 has 15 divisors (see below), whose sum is σ = 25657645593373. Its totient is φ = 6621313338880.

The previous prime is 13242641233903. The next prime is 13242641233981. The reversal of 13242641233936 is 63933214624231.

The square root of 13242641233936 is 3639044.

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

It can be written as a sum of positive squares in only one way, i.e., 1359453393936 + 11883187840000 = 1165956^2 + 3447200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13242641233936.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14101296 + ... + 15011056.

Almost surely, 213242641233936 is an apocalyptic number.

13242641233936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13242641233936 is the 3639044-th square number.

It is an amenable number.

13242641233936 is a deficient number, since it is larger than the sum of its proper divisors (12415004359437).

13242641233936 is an frugal number, since it uses more digits than its factorization.

13242641233936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819530 (or 909763 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 49.

Multiplying 13242641233936 by its sum of digits (49), we get a square (648889420462864 = 254733082).

The spelling of 13242641233936 in words is "thirteen trillion, two hundred forty-two billion, six hundred forty-one million, two hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 909761 1819522 3639044 7278088 14556176 827665077121 1655330154242 3310660308484 6621320616968 13242641233936