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144113232 = 2436183593
BaseRepresentation
bin10001001011011…
…11111001010000
3101001011201012010
420211233321100
5243343110412
622144502520
73366641124
oct1045577120
9331151163
10144113232
117439144a
124031aa40
1323b1a603
14151d5584
15c9ba33c
hex896fe50

144113232 has 80 divisors (see below), whose sum is σ = 383600448. Its totient is φ = 46602240.

The previous prime is 144113227. The next prime is 144113243. The reversal of 144113232 is 232311441.

144113232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144113199 and 144113208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242728 + ... + 243320.

Almost surely, 2144113232 is an apocalyptic number.

144113232 is a gapful number since it is divisible by the number (12) 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 144113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191800224).

144113232 is an abundant number, since it is smaller than the sum of its proper divisors (239487216).

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

144113232 is a wasteful number, since it uses less digits than its factorization.

144113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 144113232 is about 12004.7170728843. The cubic root of 144113232 is about 524.2856279351.

Adding to 144113232 its reverse (232311441), we get a palindrome (376424673).

The spelling of 144113232 in words is "one hundred forty-four million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 83 122 166 183 244 249 332 366 488 498 593 664 732 976 996 1186 1328 1464 1779 1992 2372 2928 3558 3984 4744 5063 7116 9488 10126 14232 15189 20252 28464 30378 36173 40504 49219 60756 72346 81008 98438 108519 121512 144692 147657 196876 217038 243024 289384 295314 393752 434076 578768 590628 787504 868152 1181256 1736304 2362512 3002359 6004718 9007077 12009436 18014154 24018872 36028308 48037744 72056616 144113232