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144241044561 = 3222817026209
BaseRepresentation
bin1000011001010101101…
…1111010110001010001
3111210022101222021011200
42012111123322301101
54330401201411221
6150132522101413
713264266435465
oct2062533726121
9453271867150
10144241044561
1156199344749
1223b5604a869
13107a940bb13
146da49aa4a5
153b4320c426
hex21956fac51

144241044561 has 12 divisors (see below), whose sum is σ = 208439545860. Its totient is φ = 96118525440.

The previous prime is 144241044547. The next prime is 144241044589. The reversal of 144241044561 is 165440142441.

144241044561 is a `hidden beast` number, since 1 + 4 + 42 + 4 + 10 + 44 + 561 = 666.

144241044561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122937890625 + 21303153936 = 350625^2 + 145956^2 .

It is not a de Polignac number, because 144241044561 - 215 = 144241011793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144241144561) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3492576 + ... + 3533633.

It is an arithmetic number, because the mean of its divisors is an integer number (17369962155).

Almost surely, 2144241044561 is an apocalyptic number.

It is an amenable number.

144241044561 is a deficient number, since it is larger than the sum of its proper divisors (64198501299).

144241044561 is a wasteful number, since it uses less digits than its factorization.

144241044561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028496 (or 7028493 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 144241044561 in words is "one hundred forty-four billion, two hundred forty-one million, forty-four thousand, five hundred sixty-one".

Divisors: 1 3 9 2281 6843 20529 7026209 21078627 63235881 16026782729 48080348187 144241044561