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144414241324201 = 19532573891434491
BaseRepresentation
bin100000110101100000001111…
…100011011111110010101001
3200221022212101210001211200001
4200311200033203133302221
5122412040331234333301
61231050553034143001
742263404345330642
oct4065401743376251
9627285353054601
10144414241324201
11420188103a0932
1214244545281a61
13627728744bb04
142793987d646c9
1511a682c291c01
hex83580f8dfca9

144414241324201 has 32 divisors (see below), whose sum is σ = 155885671843200. Its totient is φ = 133365981265920.

The previous prime is 144414241324147. The next prime is 144414241324231. The reversal of 144414241324201 is 102423142414441.

144414241324201 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 a de Polignac number, because none of the positive numbers 2k-144414241324201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144414241324231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99955566 + ... + 101390056.

It is an arithmetic number, because the mean of its divisors is an integer number (4871427245100).

Almost surely, 2144414241324201 is an apocalyptic number.

It is an amenable number.

144414241324201 is a deficient number, since it is larger than the sum of its proper divisors (11471430518999).

144414241324201 is a wasteful number, since it uses less digits than its factorization.

144414241324201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435209.

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 144414241324201 its reverse (102423142414441), we get a palindrome (246837383738642).

The spelling of 144414241324201 in words is "one hundred forty-four trillion, four hundred fourteen billion, two hundred forty-one million, three hundred twenty-four thousand, two hundred one".

Divisors: 1 19 53 257 389 1007 4883 7391 13621 20617 99973 258799 391723 1434491 1899487 5298569 27255329 76028023 100672811 368664187 558016999 1444532437 7004619553 10602322981 19539201911 29574900947 143410368743 371244836309 561923117993 2724797006117 7600749543379 144414241324201