Search a number
-
+
144984906 = 232114317029
BaseRepresentation
bin10001010010001…
…00101101001010
3101002210222220100
420221010231022
5244104004111
622215310230
73410231343
oct1051045512
9332728810
10144984906
1174927340
124067b376
13240642b1
14153810ca
15cadd756
hex8a44b4a

144984906 has 48 divisors (see below), whose sum is σ = 350681760. Its totient is φ = 42910560.

The previous prime is 144984901. The next prime is 144984941. The reversal of 144984906 is 609489441.

144984906 is a nontrivial binomial coefficient, being equal to C(17029, 2).

It is not an unprimeable number, because it can be changed into a prime (144984901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 17028.

It is an arithmetic number, because the mean of its divisors is an integer number (7305870).

Almost surely, 2144984906 is an apocalyptic number.

144984906 is the 17028-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144984906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175340880).

144984906 is an abundant number, since it is smaller than the sum of its proper divisors (205696854).

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

144984906 is a wasteful number, since it uses less digits than its factorization.

144984906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17091 (or 17088 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 144984906 is about 12040.9678182445. The cubic root of 144984906 is about 525.3405572707.

The spelling of 144984906 in words is "one hundred forty-four million, nine hundred eighty-four thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 17029 34058 51087 102174 153261 187319 306522 374638 561957 732247 1123914 1464494 1685871 2196741 3371742 4393482 6590223 8054717 13180446 16109434 24164151 48328302 72492453 144984906