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144346422 = 2311171271013
BaseRepresentation
bin10001001101010…
…00110100110110
3101001121120001210
420212220310312
5243423041142
622153502250
73401632023
oct1046506466
9331546053
10144346422
1174530670
1240411986
1323b9c7ac
141525654a
15ca1449c
hex89a8d36

144346422 has 64 divisors (see below), whose sum is σ = 336420864. Its totient is φ = 40803840.

The previous prime is 144346417. The next prime is 144346429. The reversal of 144346422 is 224643441.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 144346422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144346429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141988 + ... + 143000.

It is an arithmetic number, because the mean of its divisors is an integer number (5256576).

Almost surely, 2144346422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144346422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168210432).

144346422 is an abundant number, since it is smaller than the sum of its proper divisors (192074442).

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

144346422 is a wasteful number, since it uses less digits than its factorization.

144346422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its digits is 18432, while the sum is 30.

The square root of 144346422 is about 12014.4255792776. The cubic root of 144346422 is about 524.5682581998.

Adding to 144346422 its reverse (224643441), we get a palindrome (368989863).

The spelling of 144346422 in words is "one hundred forty-four million, three hundred forty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 127 187 254 374 381 561 762 1013 1122 1397 2026 2159 2794 3039 4191 4318 6078 6477 8382 11143 12954 17221 22286 23749 33429 34442 47498 51663 66858 71247 103326 128651 142494 189431 257302 378862 385953 568293 771906 1136586 1415161 2187067 2830322 4245483 4374134 6561201 8490966 13122402 24057737 48115474 72173211 144346422