Search a number
-
+
12040003024 = 2471734918119
BaseRepresentation
bin10110011011010001…
…11101110111010000
31011002002101112011221
423031220331313100
5144124220044044
65310415014424
7604235223430
oct131550756720
934062345157
1012040003024
1151192a4525
12240020a414
13119b52c85a
148230722c0
154a7023484
hex2cda3ddd0

12040003024 has 80 divisors (see below), whose sum is σ = 28310688000. Its totient is φ = 4842289152.

The previous prime is 12040003021. The next prime is 12040003043. The reversal of 12040003024 is 42030004021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12040002989 and 12040003007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040003021) 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 15 ways as a sum of consecutive naturals, for example, 655437 + ... + 673555.

It is an arithmetic number, because the mean of its divisors is an integer number (353883600).

Almost surely, 212040003024 is an apocalyptic number.

12040003024 is a gapful number since it is divisible by the number (14) 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 12040003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155344000).

12040003024 is an abundant number, since it is smaller than the sum of its proper divisors (16270684976).

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

12040003024 is a wasteful number, since it uses less digits than its factorization.

12040003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18500 (or 18494 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12040003024 its reverse (42030004021), we get a palindrome (54070007045).

The spelling of 12040003024 in words is "twelve billion, forty million, three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 349 476 698 952 1396 1904 2443 2792 4886 5584 5933 9772 11866 18119 19544 23732 36238 39088 41531 47464 72476 83062 94928 126833 144952 166124 253666 289904 308023 332248 507332 616046 664496 1014664 1232092 2029328 2156161 2464184 4312322 4928368 6323531 8624644 12647062 17249288 25294124 34498576 44264717 50588248 88529434 101176496 107500027 177058868 215000054 354117736 430000108 708235472 752500189 860000216 1505000378 1720000432 3010000756 6020001512 12040003024