Search a number
-
+
144930967204 = 22172111972
BaseRepresentation
bin1000011011111010001…
…1110000111010100100
3111212002111011222010011
42012332203300322210
54333304311422304
6150325205340004
713320344615662
oct2067643607244
9455074158104
10144930967204
1156512830851
1224109107604
131088933037a
14702c47dc32
153b83a8dc04
hex21be8f0ea4

144930967204 has 27 divisors (see below), whose sum is σ = 269450231043. Its totient is φ = 68196716928.

The previous prime is 144930967169. The next prime is 144930967213. The reversal of 144930967204 is 402769039441.

The square root of 144930967204 is 380698.

It is a perfect power (a square), and thus also a powerful number.

144930967204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13704804 + 144917262400 = 3702^2 + 380680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12938134 + ... + 12949330.

Almost surely, 2144930967204 is an apocalyptic number.

144930967204 is the 380698-th square number.

It is an amenable number.

144930967204 is a deficient number, since it is larger than the sum of its proper divisors (124519263839).

144930967204 is an frugal number, since it uses more digits than its factorization.

144930967204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22432 (or 11216 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 144930967204 by its sum of digits (49), we get a square (7101617392996 = 26648862).

The spelling of 144930967204 in words is "one hundred forty-four billion, nine hundred thirty million, nine hundred sixty-seven thousand, two hundred four".

Divisors: 1 2 4 17 34 68 289 578 1156 11197 22394 44788 190349 380698 761396 3235933 6471866 12943732 125372809 250745618 501491236 2131337753 4262675506 8525351012 36232741801 72465483602 144930967204