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144145350 = 232523110333
BaseRepresentation
bin10001001011101…
…11101111000110
3101001020100020200
420211313233012
5243400122400
622145311330
73400133556
oct1045675706
9331210220
10144145350
1174403598
1240335546
1323b2c10b
1415203166
15c9c4b00
hex8977bc6

144145350 has 72 divisors (see below), whose sum is σ = 399801792. Its totient is φ = 37195200.

The previous prime is 144145349. The next prime is 144145361. The reversal of 144145350 is 53541441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8784 + ... + 19116.

Almost surely, 2144145350 is an apocalyptic number.

144145350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144145350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199900896).

144145350 is an abundant number, since it is smaller than the sum of its proper divisors (255656442).

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

144145350 is a wasteful number, since it uses less digits than its factorization.

144145350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144145350 is about 12006.0547225140. The cubic root of 144145350 is about 524.3245735956.

Adding to 144145350 its reverse (53541441), we get a palindrome (197686791).

The spelling of 144145350 in words is "one hundred forty-four million, one hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 10333 13950 20666 30999 51665 61998 92997 103330 154995 185994 258325 309990 320323 464985 516650 640646 774975 929970 960969 1549950 1601615 1921938 2324925 2882907 3203230 4649850 4804845 5765814 8008075 9609690 14414535 16016150 24024225 28829070 48048450 72072675 144145350