Search a number
-
+
2044132002 = 2321131333029
BaseRepresentation
bin111100111010110…
…1111101010100010
312021110101122221200
41321311233222202
513141244211002
6534500502030
7101440556343
oct17165575242
95243348850
102044132002
1195994a6a0
124906aa916
13267659883
141556a60ca
15be6cdb1c
hex79d6faa2

2044132002 has 48 divisors (see below), whose sum is σ = 4987457280. Its totient is φ = 599450400.

The previous prime is 2044132001. The next prime is 2044132009. The reversal of 2044132002 is 2002314402.

2044132002 is a `hidden beast` number, since 20 + 441 + 3 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2044132001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 160377 + ... + 172652.

It is an arithmetic number, because the mean of its divisors is an integer number (103905360).

Almost surely, 22044132002 is an apocalyptic number.

2044132002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2044132002 is an abundant number, since it is smaller than the sum of its proper divisors (2943325278).

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

2044132002 is a wasteful number, since it uses less digits than its factorization.

2044132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333079 (or 333076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2044132002 is about 45212.0780544314. The cubic root of 2044132002 is about 1269.1208502106.

Adding to 2044132002 its reverse (2002314402), we get a palindrome (4046446404).

The spelling of 2044132002 in words is "two billion, forty-four million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 333029 666058 999087 1998174 2997261 3663319 5994522 7326638 10323899 10989957 20647798 21979914 30971697 32969871 61943394 65939742 92915091 113562889 185830182 227125778 340688667 681377334 1022066001 2044132002