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144340413201220 = 2257217020660061
BaseRepresentation
bin100000110100011011011111…
…000011100011101101000100
3200221001210211120102121021211
4200310123133003203231010
5122404333131234414340
61230553023113221204
742255151665541615
oct4064333703435504
9627053746377254
10144340413201220
1141a9a47533a365
1214232180401804
13627031cba1542
142790182b79c0c
1511a495aa5c5ea
hex8346df0e3b44

144340413201220 has 12 divisors (see below), whose sum is σ = 303114867722604. Its totient is φ = 57736165280480.

The previous prime is 144340413201181. The next prime is 144340413201263. The reversal of 144340413201220 is 22102314043441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47298960875776 + 97041452325444 = 6877424^2 + 9850962^2 .

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 3 ways as a sum of consecutive naturals, for example, 3608510330011 + ... + 3608510330050.

It is an arithmetic number, because the mean of its divisors is an integer number (25259572310217).

Almost surely, 2144340413201220 is an apocalyptic number.

144340413201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144340413201220 is an abundant number, since it is smaller than the sum of its proper divisors (158774454521384).

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

144340413201220 is a wasteful number, since it uses less digits than its factorization.

144340413201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217020660070 (or 7217020660068 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 144340413201220 its reverse (22102314043441), we get a palindrome (166442727244661).

The spelling of 144340413201220 in words is "one hundred forty-four trillion, three hundred forty billion, four hundred thirteen million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 7217020660061 14434041320122 28868082640244 36085103300305 72170206600610 144340413201220