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447142241745 = 32526337781347
BaseRepresentation
bin1101000000110111100…
…00010010010111010001
31120202011010000101021100
412200123300102113101
524311221403213440
6541225254015013
744206413226023
oct6403360222721
91522133011240
10447142241745
111626a5158371
12727ab047469
133321c30a344
14178db156013
15b970445230
hex681bc125d1

447142241745 has 24 divisors (see below), whose sum is σ = 777993518016. Its totient is φ = 237569103648.

The previous prime is 447142241701. The next prime is 447142241813. The reversal of 447142241745 is 547142241744.

447142241745 is a `hidden beast` number, since 4 + 471 + 4 + 2 + 2 + 4 + 174 + 5 = 666.

It is not a de Polignac number, because 447142241745 - 212 = 447142237649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 447142241745.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18878839 + ... + 18902508.

It is an arithmetic number, because the mean of its divisors is an integer number (32416396584).

Almost surely, 2447142241745 is an apocalyptic number.

447142241745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

447142241745 is a deficient number, since it is larger than the sum of its proper divisors (330851276271).

447142241745 is a wasteful number, since it uses less digits than its factorization.

447142241745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37781621 (or 37781618 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 45.

Subtracting 447142241745 from its reverse (547142241744), we obtain a palindrome (99999999999).

It can be divided in two parts, 44714224 and 1745, that added together give a square (44715969 = 66872).

The spelling of 447142241745 in words is "four hundred forty-seven billion, one hundred forty-two million, two hundred forty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 263 789 1315 2367 3945 11835 37781347 113344041 188906735 340032123 566720205 1700160615 9936494261 29809482783 49682471305 89428448349 149047413915 447142241745