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54344044345 = 5101107611969
BaseRepresentation
bin110010100111001010…
…000100111100111001
312012021022220111012011
4302213022010330321
51342244033404340
640544301245521
73632460520033
oct624712047471
9165238814164
1054344044345
1121057883948
12a6478638a1
135180a40876
1428b7640c53
151630e290ea
hexca7284f39

54344044345 has 8 divisors (see below), whose sum is σ = 65858525640. Its totient is φ = 43044787200.

The previous prime is 54344044333. The next prime is 54344044357.

54344044345 is nontrivially palindromic in base 10.

54344044345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54344044333) and next prime (54344044357).

It can be written as a sum of positive squares in 4 ways, for example, as 6818300329 + 47525744016 = 82573^2 + 218004^2 .

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

It is not a de Polignac number, because 54344044345 - 225 = 54310489913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54344044298 and 54344044307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53805480 + ... + 53806489.

It is an arithmetic number, because the mean of its divisors is an integer number (8232315705).

Almost surely, 254344044345 is an apocalyptic number.

It is an amenable number.

54344044345 is a deficient number, since it is larger than the sum of its proper divisors (11514481295).

54344044345 is a wasteful number, since it uses less digits than its factorization.

54344044345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107612075.

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 543440 and 44345, that added together give a palindrome (587785).

The spelling of 54344044345 in words is "fifty-four billion, three hundred forty-four million, forty-four thousand, three hundred forty-five".

Divisors: 1 5 101 505 107611969 538059845 10868808869 54344044345