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54344101241 = 372207366541
BaseRepresentation
bin110010100111001010…
…010010110101111001
312012021100000101020102
4302213022102311321
51342244042214431
640544302405145
73632461144643
oct624712226571
9165240011212
1054344101241
1121057912671
12a6478907b5
135180a60731
1428b7657893
151630e3adcb
hexca7292d79

54344101241 has 8 divisors (see below), whose sum is σ = 55816228104. Its totient is φ = 52872151680.

The previous prime is 54344101237. The next prime is 54344101271. The reversal of 54344101241 is 14210144345.

It can be written as a sum of positive squares in 4 ways, for example, as 44977926400 + 9366174841 = 212080^2 + 96779^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54344101241 - 22 = 54344101237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54344101211) 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 7 ways as a sum of consecutive naturals, for example, 783431 + ... + 849971.

It is an arithmetic number, because the mean of its divisors is an integer number (6977028513).

Almost surely, 254344101241 is an apocalyptic number.

It is an amenable number.

54344101241 is a deficient number, since it is larger than the sum of its proper divisors (1472126863).

54344101241 is a wasteful number, since it uses less digits than its factorization.

54344101241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88651.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 54344101241 its reverse (14210144345), we get a palindrome (68554245586).

The spelling of 54344101241 in words is "fifty-four billion, three hundred forty-four million, one hundred one thousand, two hundred forty-one".

Divisors: 1 37 22073 66541 816701 2462017 1468759493 54344101241