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144104430 = 23523316737
BaseRepresentation
bin10001001011011…
…01101111101110
3101001011021010010
420211231233232
5243342320210
622144354050
73366603351
oct1045555756
9331137103
10144104430
1174385878
1240315926
1323b165c2
14151d2298
15c9b7920
hex896dbee

144104430 has 64 divisors (see below), whose sum is σ = 372584448. Its totient is φ = 35566080.

The previous prime is 144104413. The next prime is 144104437. The reversal of 144104430 is 34401441.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144104397 and 144104406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144104437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18022 + ... + 24758.

It is an arithmetic number, because the mean of its divisors is an integer number (5821632).

Almost surely, 2144104430 is an apocalyptic number.

144104430 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 144104430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186292224).

144104430 is an abundant number, since it is smaller than the sum of its proper divisors (228480018).

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

144104430 is a wasteful number, since it uses less digits than its factorization.

144104430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144104430 is about 12004.3504613952. The cubic root of 144104430 is about 524.2749537914.

Adding to 144104430 its reverse (34401441), we get a palindrome (178505871).

The spelling of 144104430 in words is "one hundred forty-four million, one hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 1426 2139 3565 4278 6737 7130 10695 13474 20211 21390 33685 40422 67370 101055 154951 202110 208847 309902 417694 464853 626541 774755 929706 1044235 1253082 1549510 2088470 2324265 3132705 4648530 4803481 6265410 9606962 14410443 24017405 28820886 48034810 72052215 144104430