Search a number
-
+
1446005141604 = 223240166809489
BaseRepresentation
bin10101000010101100100…
…111110111000001100100
312010020101120210010121100
4111002230213313001210
5142142404304012404
63024141404320100
7206320232622222
oct25025447670144
95106346703540
101446005141604
1150827a229081
121b42b4243030
13a6485b3555a
144ddb6563b12
1527931e47d39
hex150ac9f7064

1446005141604 has 18 divisors (see below), whose sum is σ = 3655179663590. Its totient is φ = 482001713856.

The previous prime is 1446005141563. The next prime is 1446005141689. The reversal of 1446005141604 is 4061415006441.

1446005141604 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 0 + 0 + 5 + 1 + 41 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1271138992704 + 174866148900 = 1127448^2 + 418170^2 .

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

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: 40166809489 = 1446005141604 / (1 + 4 + 4 + 6 + 0 + 0 + 5 + 1 + 4 + 1 + 6 + 0 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20083404709 + ... + 20083404780.

Almost surely, 21446005141604 is an apocalyptic number.

It is an amenable number.

1446005141604 is an abundant number, since it is smaller than the sum of its proper divisors (2209174521986).

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

1446005141604 is a wasteful number, since it uses less digits than its factorization.

1446005141604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166809499 (or 40166809494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1446005141604 in words is "one trillion, four hundred forty-six billion, five million, one hundred forty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 40166809489 80333618978 120500428467 160667237956 241000856934 361501285401 482001713868 723002570802 1446005141604