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144042213 = 3723173433
BaseRepresentation
bin10001001010111…
…10100011100101
3101001001002202210
420211132203211
5243333322323
622143154033
73366224100
oct1045364345
9331032683
10144042213
1174343057
12402a5919
1323ac41a3
14151b7737
15c9a4293
hex895e8e5

144042213 has 48 divisors (see below), whose sum is σ = 234318336. Its totient is φ = 78382080.

The previous prime is 144042209. The next prime is 144042233. The reversal of 144042213 is 312240441.

144042213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144042213 - 22 = 144042209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 144042213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144042233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332445 + ... + 332877.

It is an arithmetic number, because the mean of its divisors is an integer number (4881632).

Almost surely, 2144042213 is an apocalyptic number.

It is an amenable number.

144042213 is a deficient number, since it is larger than the sum of its proper divisors (90276123).

144042213 is a wasteful number, since it uses less digits than its factorization.

144042213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144042213 is about 12001.7587461172. The cubic root of 144042213 is about 524.1994911325.

Adding to 144042213 its reverse (312240441), we get a palindrome (456282654).

The spelling of 144042213 in words is "one hundred forty-four million, forty-two thousand, two hundred thirteen".

Divisors: 1 3 7 21 31 49 73 93 147 217 219 433 511 651 1299 1519 1533 2263 3031 3577 4557 6789 9093 10731 13423 15841 21217 31609 40269 47523 63651 93961 94827 110887 221263 281883 332661 657727 663789 979879 1548841 1973181 2939637 4646523 6859153 20577459 48014071 144042213