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144543140244 = 223238910321561
BaseRepresentation
bin1000011010011101110…
…0010100100110010100
3111211002110102022112200
42012213130110212110
54332011020441434
6150222513044500
713304625264066
oct2064734244624
9454073368480
10144543140244
115633391a6a8
122401b256730
1310826b91769
146dd2b67736
153b5e9d2199
hex21a7714994

144543140244 has 36 divisors (see below), whose sum is σ = 366312235380. Its totient is φ = 48057183360.

The previous prime is 144543140221. The next prime is 144543140249. The reversal of 144543140244 is 442041345441.

144543140244 is a `hidden beast` number, since 144 + 5 + 431 + 40 + 2 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76265450244 + 68277690000 = 276162^2 + 261300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144543140199 and 144543140208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144543140249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5146777 + ... + 5174784.

Almost surely, 2144543140244 is an apocalyptic number.

It is an amenable number.

144543140244 is an abundant number, since it is smaller than the sum of its proper divisors (221769095136).

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

144543140244 is a wasteful number, since it uses less digits than its factorization.

144543140244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321960 (or 10321955 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 144543140244 its reverse (442041345441), we get a palindrome (586584485685).

The spelling of 144543140244 in words is "one hundred forty-four billion, five hundred forty-three million, one hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4668 7002 14004 10321561 20643122 30964683 41286244 61929366 92894049 123858732 185788098 371576196 4015087229 8030174458 12045261687 16060348916 24090523374 36135785061 48181046748 72271570122 144543140244