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144067814 = 211231012819
BaseRepresentation
bin10001001011001…
…00110011100110
3101001002101212222
420211210303212
5243340132224
622143512342
73366361532
oct1045446346
9331071788
10144067814
1174360310
12402b86b2
1323b02a37
14151c2bc2
15c9abb5e
hex8964ce6

144067814 has 32 divisors (see below), whose sum is σ = 248520960. Its totient is φ = 61996000.

The previous prime is 144067813. The next prime is 144067829. The reversal of 144067814 is 418760441.

144067814 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144067811) by changing a digit.

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, 49697 + ... + 52515.

It is an arithmetic number, because the mean of its divisors is an integer number (7766280).

Almost surely, 2144067814 is an apocalyptic number.

144067814 is a deficient number, since it is larger than the sum of its proper divisors (104453146).

144067814 is a wasteful number, since it uses less digits than its factorization.

144067814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 144067814 is about 12002.8252507483. The cubic root of 144067814 is about 524.2305450760.

The spelling of 144067814 in words is "one hundred forty-four million, sixty-seven thousand, eight hundred fourteen".

Divisors: 1 2 11 22 23 46 101 202 253 506 1111 2222 2323 2819 4646 5638 25553 31009 51106 62018 64837 129674 284719 569438 713207 1426414 3131909 6263818 6548537 13097074 72033907 144067814