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144412360 = 2353899281
BaseRepresentation
bin10001001101110…
…00111011001000
3101001201220111221
420212320323020
5243432143420
622155131424
73402325201
oct1046707310
9331656457
10144412360
1174576164
1240443b74
1323bc3801
14152725a8
15ca28caa
hex89b8ec8

144412360 has 32 divisors (see below), whose sum is σ = 325798200. Its totient is φ = 57610240.

The previous prime is 144412357. The next prime is 144412393. The reversal of 144412360 is 63214441.

It can be written as a sum of positive squares in 4 ways, for example, as 124858276 + 19554084 = 11174^2 + 4422^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10920 + ... + 20200.

Almost surely, 2144412360 is an apocalyptic number.

144412360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144412360 is an abundant number, since it is smaller than the sum of its proper divisors (181385840).

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

144412360 is a wasteful number, since it uses less digits than its factorization.

144412360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9681 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 144412360 is about 12017.1693838441. The cubic root of 144412360 is about 524.6481209722.

The spelling of 144412360 in words is "one hundred forty-four million, four hundred twelve thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 389 778 1556 1945 3112 3890 7780 9281 15560 18562 37124 46405 74248 92810 185620 371240 3610309 7220618 14441236 18051545 28882472 36103090 72206180 144412360