Search a number
-
+
13201431252224 = 28163993314453
BaseRepresentation
bin1100000000011011001010…
…0111101100110100000000
31201202001012102221100201112
43000012302213230310000
53212243012400032344
644024353115222452
72531525526113405
oct300066247546400
951661172840645
1013201431252224
11422a771865976
121592638747a28
13749b74678ca7
14338d4a2322ac
1517d5ed5c5c9e
hexc01b29ecd00

13201431252224 has 36 divisors (see below), whose sum is σ = 26351538900036. Its totient is φ = 6600654385152.

The previous prime is 13201431252179. The next prime is 13201431252239. The reversal of 13201431252224 is 42225213410231.

It can be written as a sum of positive squares in 2 ways, for example, as 1820254292224 + 11381176960000 = 1349168^2 + 3373600^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41824982 + ... + 42139434.

Almost surely, 213201431252224 is an apocalyptic number.

It is an amenable number.

13201431252224 is a deficient number, since it is larger than the sum of its proper divisors (13150107647812).

13201431252224 is an equidigital number, since it uses as much as digits as its factorization.

13201431252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478462 (or 478448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 13201431252224 its reverse (42225213410231), we get a palindrome (55426644662455).

The spelling of 13201431252224 in words is "thirteen trillion, two hundred one billion, four hundred thirty-one million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 163993 314453 327986 628906 655972 1257812 1311944 2515624 2623888 5031248 5247776 10062496 10495552 20124992 20991104 40249984 41982208 80499968 51568090829 103136181658 206272363316 412544726632 825089453264 1650178906528 3300357813056 6600715626112 13201431252224