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144111432 = 23323325771
BaseRepresentation
bin10001001011011…
…11011101001000
3101001011121201110
420211233131020
5243343031212
622144450320
73366632643
oct1045573510
9331147643
10144111432
1174390063
12403199a0
1323b1984a
14151d4a5a
15c9b9a3c
hex896f748

144111432 has 32 divisors (see below), whose sum is σ = 361838880. Its totient is φ = 47829120.

The previous prime is 144111427. The next prime is 144111437. The reversal of 144111432 is 234111441.

144111432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144111427) and next prime (144111437).

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 = 144111399 and 144111408.

It is not an unprimeable number, because it can be changed into a prime (144111437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7294 + ... + 18477.

It is an arithmetic number, because the mean of its divisors is an integer number (11307465).

Almost surely, 2144111432 is an apocalyptic number.

144111432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144111432 is an abundant number, since it is smaller than the sum of its proper divisors (217727448).

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

144111432 is a wasteful number, since it uses less digits than its factorization.

144111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26013 (or 26009 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 144111432 is about 12004.6421021203. The cubic root of 144111432 is about 524.2834451190.

Adding to 144111432 its reverse (234111441), we get a palindrome (378222873).

Subtracting 144111432 from its reverse (234111441), we obtain a palindrome (90000009).

The spelling of 144111432 in words is "one hundred forty-four million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 233 466 699 932 1398 1864 2796 5592 25771 51542 77313 103084 154626 206168 309252 618504 6004643 12009286 18013929 24018572 36027858 48037144 72055716 144111432