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144516259432 = 23671171723011
BaseRepresentation
bin1000011010010111010…
…1110001111001101000
3111211000120211122000001
42012211311301321220
54331432130300212
6150220112552344
713304150636266
oct2064565617150
9454016748001
10144516259432
115631a72a756
12240122526b4
131082143c45c
146dcd36b436
153b5c472657
hex21a5d71e68

144516259432 has 32 divisors (see below), whose sum is σ = 275047708320. Its totient is φ = 71170482240.

The previous prime is 144516259417. The next prime is 144516259483. The reversal of 144516259432 is 234952615441.

144516259432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6268807 + ... + 6291817.

It is an arithmetic number, because the mean of its divisors is an integer number (8595240885).

Almost surely, 2144516259432 is an apocalyptic number.

It is an amenable number.

144516259432 is a deficient number, since it is larger than the sum of its proper divisors (130531448888).

144516259432 is a wasteful number, since it uses less digits than its factorization.

144516259432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34801 (or 34797 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 46.

The spelling of 144516259432 in words is "one hundred forty-four billion, five hundred sixteen million, two hundred fifty-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 8 67 134 268 536 11717 23011 23434 46022 46868 92044 93736 184088 785039 1541737 1570078 3083474 3140156 6166948 6280312 12333896 269619887 539239774 1078479548 2156959096 18064532429 36129064858 72258129716 144516259432