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144121414241300 = 22521499672578137
BaseRepresentation
bin100000110001001111100001…
…101100110100110000010100
3200220021212120011020202101012
4200301033201230310300110
5122342241124021210200
61230304244053351352
742233266666233116
oct4061174154646024
9626255504222335
10144121414241300
1141a156041133a1
12141b7842038558
13625578b6ba162
1427837297113b6
15119ddde6a6a35
hex8313e1b34c14

144121414241300 has 36 divisors (see below), whose sum is σ = 314842418391900. Its totient is φ = 57261662565120.

The previous prime is 144121414241239. The next prime is 144121414241323. The reversal of 144121414241300 is 3142414121441.

It can be written as a sum of positive squares in 6 ways, for example, as 92698384 + 144121321542916 = 9628^2 + 12005054^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4836274169 + ... + 4836303968.

Almost surely, 2144121414241300 is an apocalyptic number.

144121414241300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144121414241300 is an abundant number, since it is smaller than the sum of its proper divisors (170721004150600).

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

144121414241300 is a wasteful number, since it uses less digits than its factorization.

144121414241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672578300 (or 9672578293 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 144121414241300 its reverse (3142414121441), we get a palindrome (147263828362741).

The spelling of 144121414241300 in words is "one hundred forty-four trillion, one hundred twenty-one billion, four hundred fourteen million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 9672578137 19345156274 38690312548 48362890685 96725781370 193451562740 241814453425 483628906850 967257813700 1441214142413 2882428284826 5764856569652 7206070712065 14412141424130 28824282848260 36030353560325 72060707120650 144121414241300