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144332412 = 22373746439
BaseRepresentation
bin10001001101001…
…01011001111100
3101001120211211220
420212211121330
5243422114122
622153313340
73401543130
oct1046453174
9331524756
10144332412
1174521094
1240405850
1323b962c3
14152513c0
15ca1025c
hex89a567c

144332412 has 48 divisors (see below), whose sum is σ = 395297280. Its totient is φ = 40122432.

The previous prime is 144332399. The next prime is 144332413. The reversal of 144332412 is 214233441.

144332412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144332413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20112 + ... + 26327.

It is an arithmetic number, because the mean of its divisors is an integer number (8235360).

Almost surely, 2144332412 is an apocalyptic number.

144332412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144332412 is an abundant number, since it is smaller than the sum of its proper divisors (250964868).

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

144332412 is a wasteful number, since it uses less digits than its factorization.

144332412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46490 (or 46488 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 144332412 is about 12013.8425160312. The cubic root of 144332412 is about 524.5512864384.

Adding to 144332412 its reverse (214233441), we get a palindrome (358565853).

The spelling of 144332412 in words is "one hundred forty-four million, three hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 46439 92878 139317 185756 278634 325073 557268 650146 975219 1300292 1718243 1950438 3436486 3900876 5154729 6872972 10309458 12027701 20618916 24055402 36083103 48110804 72166206 144332412