Search a number
-
+
144245042133201 = 3297290956799293
BaseRepresentation
bin100000110011000010101010…
…011111110011100011010001
3200220201200122222221100222100
4200303002222133303203101
5122401302321241230301
61230441131344231013
742245234420045622
oct4063025237634321
9626650588840870
10144245042133201
1141a62a84907389
12142177a490b469
13626433139bc09
1427896d67c7a49
1511a2227dcd286
hex8330aa7f38d1

144245042133201 has 24 divisors (see below), whose sum is σ = 210574294617960. Its totient is φ = 95139268494336.

The previous prime is 144245042133193. The next prime is 144245042133251. The reversal of 144245042133201 is 102331240542441.

144245042133201 is a `hidden beast` number, since 1 + 4 + 4 + 24 + 5 + 0 + 421 + 3 + 3 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34037877971601 + 110207164161600 = 5834199^2 + 10497960^2 .

It is not a de Polignac number, because 144245042133201 - 23 = 144245042133193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144245042133251) 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 23 ways as a sum of consecutive naturals, for example, 25860090 + ... + 30939203.

It is an arithmetic number, because the mean of its divisors is an integer number (8773928942415).

Almost surely, 2144245042133201 is an apocalyptic number.

It is an amenable number.

144245042133201 is a deficient number, since it is larger than the sum of its proper divisors (66329252484759).

144245042133201 is a wasteful number, since it uses less digits than its factorization.

144245042133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56802305 (or 56802302 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 144245042133201 its reverse (102331240542441), we get a palindrome (246576282675642).

The spelling of 144245042133201 in words is "one hundred forty-four trillion, two hundred forty-five billion, forty-two million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 97 291 873 2909 8727 26181 282173 846519 2539557 56799293 170397879 511193637 5509531421 16528594263 49585782789 165229143337 495687430011 1487062290033 16027226903689 48081680711067 144245042133201