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145531525344 = 2531515953389
BaseRepresentation
bin1000011110001001011…
…0101101100011100000
3111220122100020111000020
42013202112231203200
54341022032302334
6150504541353440
713341256361232
oct2074226554340
9456570214006
10145531525344
11567a082aa97
1224256268880
131095389300a
147088130252
153bbb66be49
hex21e25ad8e0

145531525344 has 24 divisors (see below), whose sum is σ = 382020254280. Its totient is φ = 48510508416.

The previous prime is 145531525343. The next prime is 145531525417. The reversal of 145531525344 is 443525135541.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 145531525296 and 145531525305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145531525343) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 757976599 + ... + 757976790.

It is an arithmetic number, because the mean of its divisors is an integer number (15917510595).

Almost surely, 2145531525344 is an apocalyptic number.

It is an amenable number.

145531525344 is an abundant number, since it is smaller than the sum of its proper divisors (236488728936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145531525344 is a wasteful number, since it uses less digits than its factorization.

145531525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515953402 (or 1515953394 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The spelling of 145531525344 in words is "one hundred forty-five billion, five hundred thirty-one million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1515953389 3031906778 4547860167 6063813556 9095720334 12127627112 18191440668 24255254224 36382881336 48510508448 72765762672 145531525344