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144420012 = 2232113471051
BaseRepresentation
bin10001001101110…
…10110010101100
3101001202022000100
420212322302230
5243432420022
622155231100
73402356412
oct1046726254
9331668010
10144420012
1174580990
1240448490
1323bc7139
14152752b2
15ca2b1ac
hex89bacac

144420012 has 72 divisors (see below), whose sum is σ = 399776832. Its totient is φ = 43596000.

The previous prime is 144420011. The next prime is 144420037. The reversal of 144420012 is 210024441.

144420012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144420011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136887 + ... + 137937.

It is an arithmetic number, because the mean of its divisors is an integer number (5552456).

Almost surely, 2144420012 is an apocalyptic number.

144420012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144420012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199888416).

144420012 is an abundant number, since it is smaller than the sum of its proper divisors (255356820).

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

144420012 is a wasteful number, since it uses less digits than its factorization.

144420012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144420012 is about 12017.4877574308. The cubic root of 144420012 is about 524.6573873455.

Adding to 144420012 its reverse (210024441), we get a palindrome (354444453).

The spelling of 144420012 in words is "one hundred forty-four million, four hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 347 396 694 1041 1051 1388 2082 2102 3123 3153 3817 4164 4204 6246 6306 7634 9459 11451 11561 12492 12612 15268 18918 22902 23122 34353 34683 37836 45804 46244 68706 69366 104049 137412 138732 208098 364697 416196 729394 1094091 1458788 2188182 3282273 4011667 4376364 6564546 8023334 12035001 13129092 16046668 24070002 36105003 48140004 72210006 144420012