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12841048040 = 2352985712917
BaseRepresentation
bin10111111010110001…
…01101011111101000
31020010220200211100212
423331120231133220
5202244302014130
65522112120252
7633133051562
oct137530553750
936126624325
1012841048040
11549a4894a7
1225a4536088
13129848a2a2
1489b5d0332
15502504e95
hex2fd62d7e8

12841048040 has 64 divisors (see below), whose sum is σ = 29925838800. Its totient is φ = 4953131008.

The previous prime is 12841048021. The next prime is 12841048057. The reversal of 12841048040 is 4084014821.

It can be written as a sum of positive squares in 8 ways, for example, as 9161169796 + 3679878244 = 95714^2 + 60662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12841047988 and 12841048006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987662 + ... + 1000578.

Almost surely, 212841048040 is an apocalyptic number.

12841048040 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 12841048040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962919400).

12841048040 is an abundant number, since it is smaller than the sum of its proper divisors (17084790760).

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

12841048040 is a wasteful number, since it uses less digits than its factorization.

12841048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 12841048040 in words is "twelve billion, eight hundred forty-one million, forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 857 1160 1714 3428 4285 6856 8570 12917 17140 24853 25834 34280 49706 51668 64585 99412 103336 124265 129170 198824 248530 258340 374593 497060 516680 749186 994120 1498372 1872965 2996744 3745930 7491860 11069869 14983720 22139738 44279476 55349345 88558952 110698690 221397380 321026201 442794760 642052402 1284104804 1605131005 2568209608 3210262010 6420524020 12841048040