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144144340 = 2257398729
BaseRepresentation
bin10001001011101…
…11011111010100
3101001020021212021
420211313133110
5243400104330
622145302524
73400130614
oct1045673724
9331207767
10144144340
117440285a
1240334a44
1323b2b812
1415202a44
15c9c467a
hex89777d4

144144340 has 24 divisors (see below), whose sum is σ = 306852840. Its totient is φ = 56867328.

The previous prime is 144144331. The next prime is 144144349. The reversal of 144144340 is 43441441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144144331) and next prime (144144349).

It can be written as a sum of positive squares in 4 ways, for example, as 8375236 + 135769104 = 2894^2 + 11652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144144349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47905 + ... + 50824.

It is an arithmetic number, because the mean of its divisors is an integer number (12785535).

Almost surely, 2144144340 is an apocalyptic number.

144144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144144340 is an abundant number, since it is smaller than the sum of its proper divisors (162708500).

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

144144340 is a wasteful number, since it uses less digits than its factorization.

144144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98811 (or 98809 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 144144340 is about 12006.0126603298. The cubic root of 144144340 is about 524.3233489774.

Adding to 144144340 its reverse (43441441), we get a palindrome (187585781).

The spelling of 144144340 in words is "one hundred forty-four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 98729 197458 394916 493645 987290 1974580 7207217 14414434 28828868 36036085 72072170 144144340