Search a number
-
+
54024151446441 = 32114153251126783
BaseRepresentation
bin11000100100010011110100…
…10110110011001110101001
321002021122210000001120020100
430102021322112303032221
524040112430232241231
6310522204052420013
714244054556350441
oct1422117226631651
9232248700046210
1054024151446441
11162395720a2950
1260862ab017609
13241b5c0002107
14d4aad6327121
1563a45b0741e6
hex31227a5b33a9

54024151446441 has 48 divisors (see below), whose sum is σ = 88850665193472. Its totient is φ = 31340622393600.

The previous prime is 54024151446439. The next prime is 54024151446449. The reversal of 54024151446441 is 14464415142045.

54024151446441 is a `hidden beast` number, since 5 + 40 + 24 + 1 + 5 + 144 + 6 + 441 = 666.

54024151446441 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 54024151446441 - 21 = 54024151446439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54024151446449) 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 47 ways as a sum of consecutive naturals, for example, 125348265 + ... + 125778518.

It is an arithmetic number, because the mean of its divisors is an integer number (1851055524864).

Almost surely, 254024151446441 is an apocalyptic number.

It is an amenable number.

54024151446441 is a deficient number, since it is larger than the sum of its proper divisors (34826513747031).

54024151446441 is a wasteful number, since it uses less digits than its factorization.

54024151446441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251126894 (or 251126891 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

Adding to 54024151446441 its reverse (14464415142045), we get a palindrome (68488566588486).

The spelling of 54024151446441 in words is "fifty-four trillion, twenty-four billion, one hundred fifty-one million, four hundred forty-six thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 41 53 99 123 159 369 451 477 583 1353 1749 2173 4059 5247 6519 19557 23903 71709 215127 251126783 753380349 2260141047 2762394613 8287183839 10296198103 13309719499 24861551517 30888594309 39929158497 92665782927 113258179133 119787475491 146406914489 339774537399 439220743467 545698499459 1019323612197 1317662230401 1637095498377 4911286495131 6002683494049 18008050482147 54024151446441