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144420168180 = 223517313913311
BaseRepresentation
bin1000011010000000011…
…1001110000111110100
3111210202220000200120210
42012200013032013310
54331233030340210
6150202401225420
713301603114001
oct2064007160764
9453686020523
10144420168180
11562804689a2
1223ba6032270
1310807566b22
146dc06b68a8
153b53ce0e20
hex21a01ce1f4

144420168180 has 48 divisors (see below), whose sum is σ = 406713936384. Its totient is φ = 38289429120.

The previous prime is 144420168163. The next prime is 144420168197. The reversal of 144420168180 is 81861024441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144420168163) and next prime (144420168197).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6946276 + ... + 6967035.

It is an arithmetic number, because the mean of its divisors is an integer number (8473207008).

Almost surely, 2144420168180 is an apocalyptic number.

144420168180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144420168180 is an abundant number, since it is smaller than the sum of its proper divisors (262293768204).

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

144420168180 is a wasteful number, since it uses less digits than its factorization.

144420168180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13913496 (or 13913494 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 144420168180 in words is "one hundred forty-four billion, four hundred twenty million, one hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2595 3460 5190 10380 13913311 27826622 41739933 55653244 69566555 83479866 139133110 166959732 208699665 278266220 417399330 834798660 2407002803 4814005606 7221008409 9628011212 12035014015 14442016818 24070028030 28884033636 36105042045 48140056060 72210084090 144420168180