Search a number
-
+
144162072 = 2333667417
BaseRepresentation
bin10001001011110…
…11110100011000
3101001021012012000
420211323310120
5243401141242
622145521000
73400233405
oct1045736430
9331235160
10144162072
117441510a
1240343160
1323b36902
14152092ac
15c9c9a4c
hex897bd18

144162072 has 32 divisors (see below), whose sum is σ = 400450800. Its totient is φ = 48053952.

The previous prime is 144162071. The next prime is 144162077. The reversal of 144162072 is 270261441.

144162072 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144162071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333493 + ... + 333924.

Almost surely, 2144162072 is an apocalyptic number.

144162072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144162072 is an abundant number, since it is smaller than the sum of its proper divisors (256288728).

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

144162072 is a wasteful number, since it uses less digits than its factorization.

144162072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667432 (or 667422 counting only the distinct ones).

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

The square root of 144162072 is about 12006.7511009432. The cubic root of 144162072 is about 524.3448480766.

The spelling of 144162072 in words is "one hundred forty-four million, one hundred sixty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 667417 1334834 2002251 2669668 4004502 5339336 6006753 8009004 12013506 16018008 18020259 24027012 36040518 48054024 72081036 144162072