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144147240 = 23325400409
BaseRepresentation
bin10001001011110…
…00001100101000
3101001020102211200
420211320030220
5243400202430
622145324200
73400142226
oct1045701450
9331212750
10144147240
1174404a56
1240336660
1323b2cc33
1415203b16
15c9c5460
hex8978328

144147240 has 48 divisors (see below), whose sum is σ = 468479700. Its totient is φ = 38439168.

The previous prime is 144147239. The next prime is 144147247. The reversal of 144147240 is 42741441.

144147240 is a `hidden beast` number, since 1 + 4 + 414 + 7 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142993764 + 1153476 = 11958^2 + 1074^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (144147247) 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, 199845 + ... + 200564.

Almost surely, 2144147240 is an apocalyptic number.

144147240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144147240 is an abundant number, since it is smaller than the sum of its proper divisors (324332460).

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

144147240 is a wasteful number, since it uses less digits than its factorization.

144147240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400426 (or 400419 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 144147240 is about 12006.1334325419. The cubic root of 144147240 is about 524.3268651925.

Adding to 144147240 its reverse (42741441), we get a palindrome (186888681).

The spelling of 144147240 in words is "one hundred forty-four million, one hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 400409 800818 1201227 1601636 2002045 2402454 3203272 3603681 4004090 4804908 6006135 7207362 8008180 9609816 12012270 14414724 16016360 18018405 24024540 28829448 36036810 48049080 72073620 144147240