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144114434243124 = 22312009536186927
BaseRepresentation
bin100000110001001001000001…
…101010001111101000110100
3200220021012112201011002221020
4200301021001222033220310
5122342132330131234444
61230301131312021140
742232632012231162
oct4061110152175064
9626235481132836
10144114434243124
1141a12652090464
12141b64145317b0
136254c18598417
1427832666c0232
15119db319de119
hex831241a8fa34

144114434243124 has 12 divisors (see below), whose sum is σ = 336267013233984. Its totient is φ = 48038144747704.

The previous prime is 144114434243029. The next prime is 144114434243141. The reversal of 144114434243124 is 421342434411441.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1441144342431242 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6004768093452 + ... + 6004768093475.

It is an arithmetic number, because the mean of its divisors is an integer number (28022251102832).

Almost surely, 2144114434243124 is an apocalyptic number.

It is an amenable number.

144114434243124 is an abundant number, since it is smaller than the sum of its proper divisors (192152578990860).

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

144114434243124 is a wasteful number, since it uses less digits than its factorization.

144114434243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009536186934 (or 12009536186932 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

Adding to 144114434243124 its reverse (421342434411441), we get a palindrome (565456868654565).

The spelling of 144114434243124 in words is "one hundred forty-four trillion, one hundred fourteen billion, four hundred thirty-four million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 12009536186927 24019072373854 36028608560781 48038144747708 72057217121562 144114434243124