Search a number
-
+
32241044010 = 23572178312301
BaseRepresentation
bin11110000001101101…
…110100101000101010
310002012221012201211010
4132001231310220222
51012012201402020
622451125244350
72220651231600
oct360155645052
9102187181733
1032241044010
111274525761a
1262b95636b6
13306a767546
1417bbd2b870
15c8a751de0
hex781b74a2a

32241044010 has 96 divisors (see below), whose sum is σ = 90069535872. Its totient is φ = 7364649600.

The previous prime is 32241043963. The next prime is 32241044027. The reversal of 32241044010 is 1044014223.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2614860 + ... + 2627160.

It is an arithmetic number, because the mean of its divisors is an integer number (938224332).

Almost surely, 232241044010 is an apocalyptic number.

32241044010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32241044010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45034767936).

32241044010 is an abundant number, since it is smaller than the sum of its proper divisors (57828491862).

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

32241044010 is a wasteful number, since it uses less digits than its factorization.

32241044010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14108 (or 14101 counting only the distinct ones).

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

Adding to 32241044010 its reverse (1044014223), we get a palindrome (33285058233).

The spelling of 32241044010 in words is "thirty-two billion, two hundred forty-one million, forty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 1783 3566 5349 8915 10698 12301 12481 17830 24602 24962 26745 36903 37443 53490 61505 62405 73806 74886 86107 87367 123010 124810 172214 174734 184515 187215 258321 262101 369030 374430 430535 436835 516642 524202 602749 861070 873670 1205498 1291605 1310505 1808247 2583210 2621010 3013745 3616494 6027490 9041235 18082470 21932683 43865366 65798049 109663415 131596098 153528781 219326830 307057562 328990245 460586343 657980490 767643905 921172686 1074701467 1535287810 2149402934 2302931715 3224104401 4605863430 5373507335 6448208802 10747014670 16120522005 32241044010