Search a number
-
+
54405351441 = 3274283201629
BaseRepresentation
bin110010101010110011…
…111100100000010001
312012102121021012201100
4302222303330200101
51342410232221231
640554331255013
73634133566650
oct625263744021
9165377235640
1054405351441
1121089447871
12a6642aa469
13519065775c
1428c183d197
1516364d91e6
hexcaacfc811

54405351441 has 24 divisors (see below), whose sum is σ = 89833423680. Its totient is φ = 31081359456.

The previous prime is 54405351397. The next prime is 54405351461. The reversal of 54405351441 is 14415350445.

54405351441 is a `hidden beast` number, since 54 + 4 + 0 + 53 + 514 + 41 = 666.

It is not a de Polignac number, because 54405351441 - 29 = 54405350929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54405351396 and 54405351405.

It is not an unprimeable number, because it can be changed into a prime (54405351461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169015 + ... + 370643.

It is an arithmetic number, because the mean of its divisors is an integer number (3743059320).

Almost surely, 254405351441 is an apocalyptic number.

It is an amenable number.

54405351441 is a deficient number, since it is larger than the sum of its proper divisors (35428072239).

54405351441 is a wasteful number, since it uses less digits than its factorization.

54405351441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205925 (or 205922 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 54405351441 in words is "fifty-four billion, four hundred five million, three hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 4283 12849 29981 38547 89943 201629 269829 604887 1411403 1814661 4234209 12702627 863577007 2590731021 6045039049 7772193063 18135117147 54405351441