Search a number
-
+
144131143122 = 23319294844093
BaseRepresentation
bin1000011000111011100…
…0101011010111010010
3111210000202011200202000
42012032320223113102
54330140033034442
6150113554334430
713261463334231
oct2061670532722
9453022150660
10144131143122
115614230010a
1223b2528a416
131078c70c595
146d9415cb18
153b3874dd4c
hex218ee2b5d2

144131143122 has 64 divisors (see below), whose sum is σ = 348774768000. Its totient is φ = 43945602624.

The previous prime is 144131143111. The next prime is 144131143139. The reversal of 144131143122 is 221341131441.

It is a happy number.

144131143122 is a `hidden beast` number, since 14 + 413 + 114 + 3 + 122 = 666.

144131143122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392293 + ... + 2451800.

It is an arithmetic number, because the mean of its divisors is an integer number (5449605750).

Almost surely, 2144131143122 is an apocalyptic number.

144131143122 is an abundant number, since it is smaller than the sum of its proper divisors (204643624878).

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

144131143122 is a wasteful number, since it uses less digits than its factorization.

144131143122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844152 (or 4844146 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 144131143122 its reverse (221341131441), we get a palindrome (365472274563).

The spelling of 144131143122 in words is "one hundred forty-four billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 114 171 174 261 342 513 522 551 783 1026 1102 1566 1653 3306 4959 9918 14877 29754 4844093 9688186 14532279 29064558 43596837 87193674 92037767 130790511 140478697 184075534 261581022 276113301 280957394 421436091 552226602 828339903 842872182 1264308273 1656679806 2485019709 2528616546 2669095243 3792924819 4970039418 5338190486 7585849638 8007285729 16014571458 24021857187 48043714374 72065571561 144131143122