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144229764 = 223783137151
BaseRepresentation
bin10001001100011…
…00010110000100
3101001101122001010
420212030112010
5243410323024
622151202220
73400634640
oct1046142604
9331348033
10144229764
1174460a58
1240376370
1323b5b673
1415225c20
15c9deb29
hex898c584

144229764 has 96 divisors (see below), whose sum is σ = 394684416. Its totient is φ = 40147200.

The previous prime is 144229753. The next prime is 144229769. The reversal of 144229764 is 467922441.

It is not an unprimeable number, because it can be changed into a prime (144229769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955089 + ... + 955239.

It is an arithmetic number, because the mean of its divisors is an integer number (4111296).

Almost surely, 2144229764 is an apocalyptic number.

144229764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144229764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197342208).

144229764 is an abundant number, since it is smaller than the sum of its proper divisors (250454652).

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

144229764 is a wasteful number, since it uses less digits than its factorization.

144229764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 144229764 is about 12009.5696842143. The cubic root of 144229764 is about 524.4269047899.

The spelling of 144229764 in words is "one hundred forty-four million, two hundred twenty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 137 151 166 249 274 302 332 411 453 498 548 581 604 822 906 959 996 1057 1162 1644 1743 1812 1918 2114 2324 2877 3171 3486 3836 4228 5754 6342 6972 11371 11508 12533 12684 20687 22742 25066 34113 37599 41374 45484 50132 62061 68226 75198 79597 82748 87731 124122 136452 144809 150396 159194 175462 238791 248244 263193 289618 318388 350924 434427 477582 526386 579236 868854 955164 1052772 1717021 1737708 3434042 5151063 6868084 10302126 12019147 20604252 24038294 36057441 48076588 72114882 144229764