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144267203106 = 23213616526509
BaseRepresentation
bin1000011001011011111…
…1101101001000100010
3111210101020012020221200
42012112333231020202
54330424400444411
6150135254502030
713265034664455
oct2062677551042
9453336166850
10144267203106
1156202090a84
1223b62964916
13107b196a450
146da825949c
153b45677e56
hex2196fed222

144267203106 has 24 divisors (see below), whose sum is σ = 336623474460. Its totient is φ = 44389908576.

The previous prime is 144267203077. The next prime is 144267203107. The reversal of 144267203106 is 601302762441.

144267203106 is a `hidden beast` number, since 1 + 442 + 6 + 7 + 203 + 1 + 0 + 6 = 666.

144267203106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 120159982881 + 24107220225 = 346641^2 + 155265^2 .

It is not an unprimeable number, because it can be changed into a prime (144267203107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 308263021 + ... + 308263488.

Almost surely, 2144267203106 is an apocalyptic number.

144267203106 is an abundant number, since it is smaller than the sum of its proper divisors (192356271354).

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

144267203106 is a wasteful number, since it uses less digits than its factorization.

144267203106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616526530 (or 616526527 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 144267203106 its reverse (601302762441), we get a palindrome (745569965547).

The spelling of 144267203106 in words is "one hundred forty-four billion, two hundred sixty-seven million, two hundred three thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 616526509 1233053018 1849579527 3699159054 5548738581 8014844617 11097477162 16029689234 24044533851 48089067702 72133601553 144267203106