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144189324 = 22328774567
BaseRepresentation
bin10001001100000…
…10011110001100
3101001022120120100
420212002132030
5243403024244
622150251100
73400406016
oct1046023614
9331276510
10144189324
1174433634
1240356a90
1323b46136
14152151b6
15c9d2b69
hex898278c

144189324 has 36 divisors (see below), whose sum is σ = 364974064. Its totient is φ = 47997792.

The previous prime is 144189319. The next prime is 144189329. The reversal of 144189324 is 423981441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144189319) and next prime (144189329).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1441893243 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144189329) 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 11 ways as a sum of consecutive naturals, for example, 29289 + ... + 33855.

Almost surely, 2144189324 is an apocalyptic number.

It is an amenable number.

144189324 is an abundant number, since it is smaller than the sum of its proper divisors (220784740).

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

144189324 is a wasteful number, since it uses less digits than its factorization.

144189324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5449 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 144189324 is about 12007.8859088517. The cubic root of 144189324 is about 524.3778862289.

The spelling of 144189324 in words is "one hundred forty-four million, one hundred eighty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 877 1754 2631 3508 4567 5262 7893 9134 10524 13701 15786 18268 27402 31572 41103 54804 82206 164412 4005259 8010518 12015777 16021036 24031554 36047331 48063108 72094662 144189324