Search a number
-
+
4131451152512 = 27113593481681
BaseRepresentation
bin111100000111101101101…
…011011010100010000000
3112121221222221020010120022
4330013231223122202000
51020142202443340022
612441543520233012
7604326132240605
oct74075553324200
915557887203508
104131451152512
1113531585180a2
1256885276b768
1323c79551b898
14103d6b4346ac
1572706419c42
hex3c1edada880

4131451152512 has 64 divisors (see below), whose sum is σ = 8317482469560. Its totient is φ = 2043987886080.

The previous prime is 4131451152497. The next prime is 4131451152539. The reversal of 4131451152512 is 2152511541314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1844750702656 + 2286700449856 = 1358216^2 + 1512184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8336312 + ... + 8817992.

Almost surely, 24131451152512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131451152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158741234780).

4131451152512 is an abundant number, since it is smaller than the sum of its proper divisors (4186031317048).

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

4131451152512 is a wasteful number, since it uses less digits than its factorization.

4131451152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482401 (or 482389 counting only the distinct ones).

The product of its digits is 24000, while the sum is 35.

Adding to 4131451152512 its reverse (2152511541314), we get a palindrome (6283962693826).

The spelling of 4131451152512 in words is "four trillion, one hundred thirty-one billion, four hundred fifty-one million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 593 904 1186 1808 2372 3616 4744 7232 9488 14464 18976 37952 67009 75904 134018 268036 481681 536072 963362 1072144 1926724 2144288 3853448 4288576 7706896 8577152 15413792 30827584 54429953 61655168 108859906 217719812 285636833 435439624 571273666 870879248 1142547332 1741758496 2285094664 3483516992 4570189328 6967033984 9140378656 18280757312 32276962129 36561514624 64553924258 129107848516 258215697032 516431394064 1032862788128 2065725576256 4131451152512