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144096133 = 1971223479
BaseRepresentation
bin10001001011010…
…11101110000101
3101001010211201211
420211223232011
5243342034013
622144251421
73366540226
oct1045535605
9331124654
10144096133
117437a615
1240310b71
1323b128ac
14151cd24d
15c9b523d
hex896bb85

144096133 has 16 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 133706160.

The previous prime is 144096109. The next prime is 144096149. The reversal of 144096133 is 331690441.

144096133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 144096133 - 25 = 144096101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144096095 and 144096104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144096193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300588 + ... + 301066.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2144096133 is an apocalyptic number.

It is an amenable number.

144096133 is a deficient number, since it is larger than the sum of its proper divisors (10732667).

144096133 is a wasteful number, since it uses less digits than its factorization.

144096133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 144096133 is about 12004.0048733746. The cubic root of 144096133 is about 524.2648916608.

It can be divided in two parts, 14409613 and 3, that added together give a square (14409616 = 37962).

The spelling of 144096133 in words is "one hundred forty-four million, ninety-six thousand, one hundred thirty-three".

Divisors: 1 19 71 223 479 1349 4237 9101 15833 34009 106817 300827 646171 2029523 7584007 144096133