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54144444145 = 5112103868883
BaseRepresentation
bin110010011011010000…
…101010011011110001
312011202102022202012011
4302123100222123301
51341341434203040
640512411202521
73624515116201
oct623320523361
9164672282164
1054144444145
1120a65144300
12a5b0a46441
13514b59653c
142898d24401
15161d64d3ea
hexc9b42a6f1

54144444145 has 24 divisors (see below), whose sum is σ = 72110420928. Its totient is φ = 38995424160.

The previous prime is 54144444139. The next prime is 54144444157.

54144444145 is nontrivially palindromic in base 10.

54144444145 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 54144444145 - 211 = 54144442097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54144444098 and 54144444107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372127 + ... + 496756.

It is an arithmetic number, because the mean of its divisors is an integer number (3004600872).

Almost surely, 254144444145 is an apocalyptic number.

54144444145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54144444145 is a deficient number, since it is larger than the sum of its proper divisors (17965976783).

54144444145 is a wasteful number, since it uses less digits than its factorization.

54144444145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869013 (or 869002 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

The spelling of 54144444145 in words is "fifty-four billion, one hundred forty-four million, four hundred forty-four thousand, one hundred forty-five".

Divisors: 1 5 11 55 103 121 515 605 1133 5665 12463 62315 868883 4344415 9557713 47788565 89494949 105134843 447474745 525674215 984444439 4922222195 10828888829 54144444145