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144344214 = 2337735231
BaseRepresentation
bin10001001101010…
…00010010010110
3101001121110001000
420212220102112
5243423003324
622153444130
73401622420
oct1046502226
9331543030
10144344214
1174529a43
1240410646
1323b9b7a1
1415255810
15ca139c9
hex89a8496

144344214 has 64 divisors (see below), whose sum is σ = 371681280. Its totient is φ = 40668480.

The previous prime is 144344209. The next prime is 144344219. The reversal of 144344214 is 412443441.

144344214 is a `hidden beast` number, since 1 + 443 + 4 + 4 + 214 = 666.

It is an interprime number because it is at equal distance from previous prime (144344209) and next prime (144344219).

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 (144344219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24979 + ... + 30209.

It is an arithmetic number, because the mean of its divisors is an integer number (5807520).

Almost surely, 2144344214 is an apocalyptic number.

144344214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144344214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185840640).

144344214 is an abundant number, since it is smaller than the sum of its proper divisors (227337066).

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

144344214 is a wasteful number, since it uses less digits than its factorization.

144344214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5316 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 144344214 is about 12014.3336893895. Note that the first 3 decimals coincide. The cubic root of 144344214 is about 524.5655834940.

Adding to 144344214 its reverse (412443441), we get a palindrome (556787655).

The spelling of 144344214 in words is "one hundred forty-four million, three hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 5231 9198 10462 13797 15693 27594 31386 36617 47079 73234 94158 109851 141237 219702 282474 329553 381863 659106 763726 988659 1145589 1977318 2291178 2673041 3436767 5346082 6873534 8019123 10310301 16038246 20620602 24057369 48114738 72172107 144344214