Search a number
-
+
1446643152141 = 311103587725057
BaseRepresentation
bin10101000011010010101…
…001101011010100001101
312010022001001022102112020
4111003102221223110031
5142200211121332031
63024324555200353
7206342110622235
oct25032251532415
95108031272466
101446643152141
11508577388910
121b4451a460b9
13a655807c295
14500371a2cc5
152796ce73096
hex150d2a6b50d

1446643152141 has 32 divisors (see below), whose sum is σ = 2128259847168. Its totient is φ = 866760944640.

The previous prime is 1446643152133. The next prime is 1446643152173. The reversal of 1446643152141 is 1412513466441.

It is not a de Polignac number, because 1446643152141 - 23 = 1446643152133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1446643152093 and 1446643152102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1446643152191) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1632685 + ... + 2357741.

It is an arithmetic number, because the mean of its divisors is an integer number (66508120224).

Almost surely, 21446643152141 is an apocalyptic number.

1446643152141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1446643152141 is a deficient number, since it is larger than the sum of its proper divisors (681616695027).

1446643152141 is a wasteful number, since it uses less digits than its factorization.

1446643152141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725761.

The product of its digits is 276480, while the sum is 42.

The spelling of 1446643152141 in words is "one trillion, four hundred forty-six billion, six hundred forty-three million, one hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 3 11 33 103 309 587 1133 1761 3399 6457 19371 60461 181383 665071 725057 1995213 2175171 7975627 23926881 74680871 224042613 425608459 821489581 1276825377 2464468743 4681693049 14045079147 43837671277 131513013831 482214384047 1446643152141