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144330414 = 233741101157
BaseRepresentation
bin10001001101001…
…00111010101110
3101001120202002220
420212210322232
5243422033124
622153300210
73401534244
oct1046447256
9331522086
10144330414
117451a638
1240404666
1323b95417
1415250794
15ca0e879
hex89a4eae

144330414 has 64 divisors (see below), whose sum is σ = 308653632. Its totient is φ = 44928000.

The previous prime is 144330413. The next prime is 144330437. The reversal of 144330414 is 414033441.

144330414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1443304142 = 41662536810822792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144330413) 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, 919224 + ... + 919380.

It is an arithmetic number, because the mean of its divisors is an integer number (4822713).

Almost surely, 2144330414 is an apocalyptic number.

144330414 is an abundant number, since it is smaller than the sum of its proper divisors (164323218).

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

144330414 is a wasteful number, since it uses less digits than its factorization.

144330414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144330414 is about 12013.7593616653. The cubic root of 144330414 is about 524.5488659650.

Adding to 144330414 its reverse (414033441), we get a palindrome (558363855).

The spelling of 144330414 in words is "one hundred forty-four million, three hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 37 41 74 82 101 111 123 157 202 222 246 303 314 471 606 942 1517 3034 3737 4141 4551 5809 6437 7474 8282 9102 11211 11618 12423 12874 15857 17427 19311 22422 24846 31714 34854 38622 47571 95142 153217 238169 306434 459651 476338 586709 650137 714507 919302 1173418 1300274 1429014 1760127 1950411 3520254 3900822 24055069 48110138 72165207 144330414