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144473112 = 233371947107
BaseRepresentation
bin10001001110001…
…11110000011000
3101001211222212000
420213013300120
5243441114422
622200321000
73403000260
oct1047076030
9331758760
10144473112
1174607873
1240473160
1323c15364
141528a7a0
15ca3bcac
hex89c7c18

144473112 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 37915776.

The previous prime is 144473111. The next prime is 144473117. The reversal of 144473112 is 211374441.

144473112 is digitally balanced in base 3, 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144473111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350163 + ... + 1350269.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2144473112 is an apocalyptic number.

144473112 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 144473112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

144473112 is an abundant number, since it is smaller than the sum of its proper divisors (353190888).

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

144473112 is a wasteful number, since it uses less digits than its factorization.

144473112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 144473112 is about 12019.6968347792. The cubic root of 144473112 is about 524.7216810519.

The spelling of 144473112 in words is "one hundred forty-four million, four hundred seventy-three thousand, one hundred twelve".