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144641206045 = 5719375878529
BaseRepresentation
bin1000011010110101001…
…0011010011100011101
3111211100021221120112101
42012231102122130131
54332211122043140
6150240335005101
713310225652160
oct2065522323435
9454307846471
10144641206045
115638420aa16
1224048069791
13108412a8a6b
147001bb3ad7
153b6840399a
hex21ad49a71d

144641206045 has 32 divisors (see below), whose sum is σ = 214448774400. Its totient is φ = 91422867456.

The previous prime is 144641206033. The next prime is 144641206103. The reversal of 144641206045 is 540602146441.

It is a happy number.

144641206045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 144641206045 - 213 = 144641197853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 144641205995 and 144641206013.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2914660 + ... + 2963869.

It is an arithmetic number, because the mean of its divisors is an integer number (6701524200).

Almost surely, 2144641206045 is an apocalyptic number.

It is an amenable number.

144641206045 is a deficient number, since it is larger than the sum of its proper divisors (69807568355).

144641206045 is a wasteful number, since it uses less digits than its factorization.

144641206045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878597.

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 144641206045 in words is "one hundred forty-four billion, six hundred forty-one million, two hundred six thousand, forty-five".

Divisors: 1 5 7 19 35 37 95 133 185 259 665 703 1295 3515 4921 24605 5878529 29392645 41149703 111692051 205748515 217505573 558460255 781844357 1087527865 1522539011 3909221785 4132605887 7612695055 20663029435 28928241209 144641206045