Search a number
-
+
1446004132011 = 333113113187813
BaseRepresentation
bin10101000010101100100…
…100000000100010101011
312010020101111212211201000
4111002230210000202223
5142142404024211021
63024141330530043
7206320221215625
oct25025444004253
95106344784630
101446004132011
115082796a95aa
121b42b3a36923
13a6485870b6a
144ddb637dc15
1527931ce8b26
hex150ac9008ab

1446004132011 has 32 divisors (see below), whose sum is σ = 2228213053440. Its totient is φ = 925784402400.

The previous prime is 1446004132007. The next prime is 1446004132019. The reversal of 1446004132011 is 1102314006441.

1446004132011 is a `hidden beast` number, since 1 + 4 + 4 + 600 + 41 + 3 + 2 + 0 + 11 = 666.

It is not a de Polignac number, because 1446004132011 - 22 = 1446004132007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1446004132019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6484260 + ... + 6703553.

It is an arithmetic number, because the mean of its divisors is an integer number (69631657920).

Almost surely, 21446004132011 is an apocalyptic number.

1446004132011 is a deficient number, since it is larger than the sum of its proper divisors (782208921429).

1446004132011 is a wasteful number, since it uses less digits than its factorization.

1446004132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187984 (or 13187978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1446004132011 its reverse (1102314006441), we get a palindrome (2548318138452).

The spelling of 1446004132011 in words is "one trillion, four hundred forty-six billion, four million, one hundred thirty-two thousand, eleven".

Divisors: 1 3 9 27 31 93 131 279 393 837 1179 3537 4061 12183 36549 109647 13187813 39563439 118690317 356070951 408822203 1226466609 1727603503 3679399827 5182810509 11038199481 15548431527 46645294581 53555708593 160667125779 482001377337 1446004132011