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144313332 = 22343307911
BaseRepresentation
bin10001001101000…
…00101111110100
3101001112212200020
420212200233310
5243421011312
622153045140
73401433402
oct1046405764
9331485606
10144313332
1174508819
12403b67b0
1323b8a707
1415248472
15ca0978c
hex89a0bf4

144313332 has 48 divisors (see below), whose sum is σ = 346063872. Its totient is φ = 46781280.

The previous prime is 144313321. The next prime is 144313343. The reversal of 144313332 is 233313441.

It is an interprime number because it is at equal distance from previous prime (144313321) and next prime (144313343).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157957 + ... + 158867.

It is an arithmetic number, because the mean of its divisors is an integer number (7209664).

Almost surely, 2144313332 is an apocalyptic number.

144313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144313332 is an abundant number, since it is smaller than the sum of its proper divisors (201750540).

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

144313332 is a wasteful number, since it uses less digits than its factorization.

144313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 144313332 is about 12013.0484057961. The cubic root of 144313332 is about 524.5281710955.

Adding to 144313332 its reverse (233313441), we get a palindrome (377626773).

The spelling of 144313332 in words is "one hundred forty-four million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 307 516 614 911 921 1228 1822 1842 2733 3644 3684 5466 10932 13201 26402 39173 39603 52804 78346 79206 117519 156692 158412 235038 279677 470076 559354 839031 1118708 1678062 3356124 12026111 24052222 36078333 48104444 72156666 144313332