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144605300864 = 271139997601
BaseRepresentation
bin1000011010101100100…
…1011100100010000000
3111211020210101101212212
42012223021130202000
54332122424111424
6150233013241252
713306311530303
oct2065311344200
9454223341785
10144605300864
1156365a16912
1224038033228
1310836a16cab
146ddb108b3a
153b651b010e
hex21ab25c880

144605300864 has 32 divisors (see below), whose sum is σ = 290630290140. Its totient is φ = 71662796800.

The previous prime is 144605300857. The next prime is 144605300867. The reversal of 144605300864 is 468003506441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96025614400 + 48579686464 = 309880^2 + 220408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (144605300867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4984337 + ... + 5013264.

Almost surely, 2144605300864 is an apocalyptic number.

It is an amenable number.

144605300864 is an abundant number, since it is smaller than the sum of its proper divisors (146024989276).

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

144605300864 is an equidigital number, since it uses as much as digits as its factorization.

144605300864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9997728 (or 9997716 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 144605300864 in words is "one hundred forty-four billion, six hundred five million, three hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 9997601 19995202 39990404 79980808 159961616 319923232 639846464 1129728913 1279692928 2259457826 4518915652 9037831304 18075662608 36151325216 72302650432 144605300864