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144069188112 = 243419231272003
BaseRepresentation
bin1000011000101100110…
…0010101101000010000
3111202212102121001110000
42012023030111220100
54330023203004422
6150103502410000
713260111615333
oct2061314255020
9452772531400
10144069188112
1156110334423
1223b08590900
131077c929805
146d89c3261a
153b330b1cac
hex218b315a10

144069188112 has 400 divisors, whose sum is σ = 461844725760. Its totient is φ = 43153254144.

The previous prime is 144069188099. The next prime is 144069188119. The reversal of 144069188112 is 211881960441.

144069188112 is a `hidden beast` number, since 1 + 440 + 6 + 91 + 8 + 8 + 112 = 666.

It is not an unprimeable number, because it can be changed into a prime (144069188119) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71925703 + ... + 71927705.

Almost surely, 2144069188112 is an apocalyptic number.

144069188112 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 144069188112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230922362880).

144069188112 is an abundant number, since it is smaller than the sum of its proper divisors (317775537648).

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

144069188112 is a wasteful number, since it uses less digits than its factorization.

144069188112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 144069188112 in words is "one hundred forty-four billion, sixty-nine million, one hundred eighty-eight thousand, one hundred twelve".