Search a number
-
+
12024043040 = 255232142061
BaseRepresentation
bin10110011001011000…
…00101011000100000
31011000222100200012102
423030230011120200
5144111123334130
65305044545532
7603652452032
oct131454053040
934028320172
1012024043040
115110293559
1223b69b22a8
131198132289
14820cb9c52
154a591e645
hex2ccb05620

12024043040 has 72 divisors (see below), whose sum is σ = 29695788108. Its totient is φ = 4600471040.

The previous prime is 12024043039. The next prime is 12024043081. The reversal of 12024043040 is 4034042021.

It can be written as a sum of positive squares in 2 ways, for example, as 11965734544 + 58308496 = 109388^2 + 7636^2 .

It is a super-2 number, since 2×120240430402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13610 + ... + 155670.

Almost surely, 212024043040 is an apocalyptic number.

12024043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12024043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14847894054).

12024043040 is an abundant number, since it is smaller than the sum of its proper divisors (17671745068).

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

12024043040 is a wasteful number, since it uses less digits than its factorization.

12024043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142122 (or 142091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12024043040 its reverse (4034042021), we get a palindrome (16058085061).

The spelling of 12024043040 in words is "twelve billion, twenty-four million, forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 529 736 920 1058 1840 2116 2645 3680 4232 5290 8464 10580 16928 21160 42320 84640 142061 284122 568244 710305 1136488 1420610 2272976 2841220 3267403 4545952 5682440 6534806 11364880 13069612 16337015 22729760 26139224 32674030 52278448 65348060 75150269 104556896 130696120 150300538 261392240 300601076 375751345 522784480 601202152 751502690 1202404304 1503005380 2404808608 3006010760 6012021520 12024043040