Search a number
-
+
45401403744711 = 3272331332921839
BaseRepresentation
bin10100101001010110101101…
…00010101110000111000111
312221202022221220000010110100
422110223112202232013013
521422324033324312321
6240321041132055143
712364100052250110
oct1224532642560707
9187668856003410
1045401403744711
1113514699890123
12511311a3044b3
131c44445a5a121
14b2d62262d207
1553aedc1bb326
hex294ad68ae1c7

45401403744711 has 24 divisors (see below), whose sum is σ = 78206972912640. Its totient is φ = 24815674095696.

The previous prime is 45401403744703. The next prime is 45401403744769. The reversal of 45401403744711 is 11744730410454.

45401403744711 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 140 + 37 + 4 + 471 + 1 = 666.

45401403744711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45401403744711 - 23 = 45401403744703 is a prime.

It is a super-2 number, since 2×454014037447112 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45401403744311) 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 23 ways as a sum of consecutive naturals, for example, 15666459471 + ... + 15666462368.

It is an arithmetic number, because the mean of its divisors is an integer number (3258623871360).

Almost surely, 245401403744711 is an apocalyptic number.

45401403744711 is a deficient number, since it is larger than the sum of its proper divisors (32805569167929).

45401403744711 is a wasteful number, since it uses less digits than its factorization.

45401403744711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31332921875 (or 31332921872 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 45401403744711 in words is "forty-five trillion, four hundred one billion, four hundred three million, seven hundred forty-four thousand, seven hundred eleven".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 31332921839 93998765517 219330452873 281996296551 657991358619 720657202297 1973974075857 2161971606891 5044600416079 6485914820673 15133801248237 45401403744711