Search a number
-
+
144131334204204 = 223226315222996853
BaseRepresentation
bin100000110001011000110000…
…111110011110101100101100
3200220022211011111102002020200
4200301120300332132230230
5122342421433024013304
61230313004300513500
742234100552435554
oct4061306076365454
9626284144362220
10144131334204204
1141a19834731346
12141b975024b890
1362566ac9333a9
142783dcad9c164
15119e2c0504e39
hex831630f9eb2c

144131334204204 has 36 divisors (see below), whose sum is σ = 365717276420496. Its totient is φ = 47861102102688.

The previous prime is 144131334204167. The next prime is 144131334204233. The reversal of 144131334204204 is 402402433131441.

144131334204204 is a `hidden beast` number, since 1 + 4 + 4 + 13 + 13 + 3 + 420 + 4 + 204 = 666.

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7611488959 + ... + 7611507894.

Almost surely, 2144131334204204 is an apocalyptic number.

It is an amenable number.

144131334204204 is an abundant number, since it is smaller than the sum of its proper divisors (221585942216292).

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

144131334204204 is a wasteful number, since it uses less digits than its factorization.

144131334204204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222997126 (or 15222997121 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144131334204204 its reverse (402402433131441), we get a palindrome (546533767335645).

The spelling of 144131334204204 in words is "one hundred forty-four trillion, one hundred thirty-one billion, three hundred thirty-four million, two hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 263 526 789 1052 1578 2367 3156 4734 9468 15222996853 30445993706 45668990559 60891987412 91337981118 137006971677 182675962236 274013943354 548027886708 4003648172339 8007296344678 12010944517017 16014592689356 24021889034034 36032833551051 48043778068068 72065667102102 144131334204204