Search a number
-
+
12344442440 = 2351128055551
BaseRepresentation
bin10110111111100100…
…10011111001001000
31011212022020122112212
423133302103321020
5200240134124230
65400532124252
7614623013051
oct133762237110
934768218485
1012344442440
115265130350
122486166688
131219623215
1485167d728
154c3b0c895
hex2dfc93e48

12344442440 has 32 divisors (see below), whose sum is σ = 30299996160. Its totient is φ = 4488888000.

The previous prime is 12344442431. The next prime is 12344442457. The reversal of 12344442440 is 4424444321.

It is a super-3 number, since 3×123444424403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12344442397 and 12344442406.

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 7 ways as a sum of consecutive naturals, for example, 14027336 + ... + 14028215.

It is an arithmetic number, because the mean of its divisors is an integer number (946874880).

Almost surely, 212344442440 is an apocalyptic number.

12344442440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344442440 is an abundant number, since it is smaller than the sum of its proper divisors (17955553720).

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

12344442440 is a wasteful number, since it uses less digits than its factorization.

12344442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28055573 (or 28055569 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 12344442440 its reverse (4424444321), we get a palindrome (16768886761).

The spelling of 12344442440 in words is "twelve billion, three hundred forty-four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 28055551 56111102 112222204 140277755 224444408 280555510 308611061 561111020 617222122 1122222040 1234444244 1543055305 2468888488 3086110610 6172221220 12344442440