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54344044044345 = 3511253815564323
BaseRepresentation
bin11000101101100111101010…
…11100001110000000111001
321010102020110212102021020210
430112303311130032000321
524110333100233404340
6311325150441141333
714306141033515266
oct1426636534160071
9233366425367223
1054344044044345
11163521a8131400
1261182a648a849
1324428101a28c3
14d5c3a139426d
1564392ed36180
hex316cf570e039

54344044044345 has 48 divisors (see below), whose sum is σ = 95591436123456. Its totient is φ = 26343726076800.

The previous prime is 54344044044331. The next prime is 54344044044347.

54344044044345 is nontrivially palindromic in base 10.

54344044044345 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 54344044044345 - 212 = 54344044040249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54344044044294 and 54344044044303.

It is not an unprimeable number, because it can be changed into a prime (54344044044347) 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, 6984354 + ... + 12548676.

It is an arithmetic number, because the mean of its divisors is an integer number (1991488252572).

Almost surely, 254344044044345 is an apocalyptic number.

54344044044345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54344044044345 is a deficient number, since it is larger than the sum of its proper divisors (41247392079111).

54344044044345 is a wasteful number, since it uses less digits than its factorization.

54344044044345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569734 (or 5569723 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 48.

It can be divided in two parts, 5434404 and 4044345, that added together give a palindrome (9478749).

The spelling of 54344044044345 in words is "fifty-four trillion, three hundred forty-four billion, forty-four million, forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 5381 16143 26905 59191 80715 177573 295955 651101 887865 1953303 3255505 5564323 9766515 16692969 27821615 61207553 83464845 183622659 306037765 673283083 918113295 2019849249 3366415415 10099246245 29941622063 89824866189 149708110315 329357842693 449124330945 988073528079 1646789213465 3622936269623 4940367640395 10868808808869 18114681348115 54344044044345