Search a number
-
+
144162414 = 232111742829
BaseRepresentation
bin10001001011110…
…11111001101110
3101001021012122200
420211323321232
5243401144124
622145522330
73400234404
oct1045737156
9331235580
10144162414
11744153a0
12403433a6
1323b36b06
1415209474
15c9c9bc9
hex897be6e

144162414 has 48 divisors (see below), whose sum is σ = 360799920. Its totient is φ = 41114880.

The previous prime is 144162391. The next prime is 144162427. The reversal of 144162414 is 414261441.

144162414 is a `hidden beast` number, since 1 + 4 + 416 + 241 + 4 = 666.

It is a super-2 number, since 2×1441624142 = 41565603220614792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18049 + ... + 24780.

It is an arithmetic number, because the mean of its divisors is an integer number (7516665).

Almost surely, 2144162414 is an apocalyptic number.

144162414 is an abundant number, since it is smaller than the sum of its proper divisors (216637506).

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

144162414 is a wasteful number, since it uses less digits than its factorization.

144162414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42865 (or 42862 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 144162414 is about 12006.7653429223. The cubic root of 144162414 is about 524.3452627159.

The spelling of 144162414 in words is "one hundred forty-four million, one hundred sixty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 42829 85658 128487 256974 385461 471119 728093 770922 942238 1413357 1456186 2184279 2826714 4240071 4368558 6552837 8009023 8480142 13105674 16018046 24027069 48054138 72081207 144162414