Search a number
-
+
12422441136 = 243761606091
BaseRepresentation
bin10111001000110111…
…10110100010110000
31012001202000101122110
423210123312202300
5200420121104021
65412400005320
7616561002360
oct134433664260
935052011573
1012422441136
1152a5164986
1224a8300840
13122c8326b1
1485bb849a0
154ca8b8476
hex2e46f68b0

12422441136 has 80 divisors (see below), whose sum is σ = 37277082368. Its totient is φ = 3491078400.

The previous prime is 12422441113. The next prime is 12422441137. The reversal of 12422441136 is 63114422421.

12422441136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12422441137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 282550 + ... + 323541.

Almost surely, 212422441136 is an apocalyptic number.

12422441136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12422441136 is an abundant number, since it is smaller than the sum of its proper divisors (24854641232).

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

12422441136 is a wasteful number, since it uses less digits than its factorization.

12422441136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606170 (or 606164 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 12422441136 its reverse (63114422421), we get a palindrome (75536863557).

The spelling of 12422441136 in words is "twelve billion, four hundred twenty-two million, four hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 20496 606091 1212182 1818273 2424364 3636546 4242637 4848728 7273092 8485274 9697456 12727911 14546184 16970548 25455822 29092368 33941096 36971551 50911644 67882192 73943102 101823288 110914653 147886204 203646576 221829306 258800857 295772408 443658612 517601714 591544816 776402571 887317224 1035203428 1552805142 1774634448 2070406856 3105610284 4140813712 6211220568 12422441136