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144120004304211 = 3313410598302861
BaseRepresentation
bin100000110001001110001101…
…101010010101110101010011
3200220021201220220012112022000
4200301032031222111311103
5122342230232100213321
61230303452125445043
742233220026042265
oct4061161552256523
9626251826175260
10144120004304211
1141a14a50257831
12141b7509a10783
1362555c556c660
142783634373b35
15119dd5a9ec826
hex83138da95d53

144120004304211 has 16 divisors (see below), whose sum is σ = 229935049602720. Its totient is φ = 88689233417760.

The previous prime is 144120004304209. The next prime is 144120004304267. The reversal of 144120004304211 is 112403400021441.

144120004304211 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 200 + 0 + 4 + 30 + 421 + 1 = 666.

It is not a de Polignac number, because 144120004304211 - 21 = 144120004304209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144120004304011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205299151080 + ... + 205299151781.

It is an arithmetic number, because the mean of its divisors is an integer number (14370940600170).

Almost surely, 2144120004304211 is an apocalyptic number.

144120004304211 is a deficient number, since it is larger than the sum of its proper divisors (85815045298509).

144120004304211 is a wasteful number, since it uses less digits than its factorization.

144120004304211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410598302883 (or 410598302877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144120004304211 its reverse (112403400021441), we get a palindrome (256523404325652).

The spelling of 144120004304211 in words is "one hundred forty-four trillion, one hundred twenty billion, four million, three hundred four thousand, two hundred eleven".

Divisors: 1 3 9 13 27 39 117 351 410598302861 1231794908583 3695384725749 5337777937193 11086154177247 16013333811579 48040001434737 144120004304211