Search a number
-
+
1312044653412 = 223236445684817
BaseRepresentation
bin10011000101111011111…
…101001001101101100100
311122102121122111020112200
4103011323331021231210
5132444031412402122
62442424530214500
7163535455354113
oct23057375115544
94572548436480
101312044653412
11466487002609
12192349124430
13969575948ac
14477090abc7a
15241e15665ac
hex1317bf49b64

1312044653412 has 18 divisors (see below), whose sum is σ = 3316557318438. Its totient is φ = 437348217792.

The previous prime is 1312044653411. The next prime is 1312044653429. The reversal of 1312044653412 is 2143564402131.

1312044653412 is a `hidden beast` number, since 1 + 3 + 120 + 446 + 53 + 41 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1229983030116 + 82061623296 = 1109046^2 + 286464^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×13120446534122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 36445684817 = 1312044653412 / (1 + 3 + 1 + 2 + 0 + 4 + 4 + 6 + 5 + 3 + 4 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (1312044653411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18222842373 + ... + 18222842444.

Almost surely, 21312044653412 is an apocalyptic number.

1312044653412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312044653412 is an abundant number, since it is smaller than the sum of its proper divisors (2004512665026).

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

1312044653412 is a wasteful number, since it uses less digits than its factorization.

1312044653412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36445684827 (or 36445684822 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1312044653412 in words is "one trillion, three hundred twelve billion, forty-four million, six hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 36445684817 72891369634 109337054451 145782739268 218674108902 328011163353 437348217804 656022326706 1312044653412