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12411334144 = 291112791723
BaseRepresentation
bin10111000111100010…
…11110111000000000
31012000222010002201101
423203301132320000
5200404300143034
65411321544144
7616364412436
oct134361367000
935028102641
1012411334144
115299969050
1224a4645054
13122a444001
1485a4d2d56
154c9922514
hex2e3c5ee00

12411334144 has 80 divisors (see below), whose sum is σ = 27089694720. Its totient is φ = 5633832960.

The previous prime is 12411334123. The next prime is 12411334157. The reversal of 12411334144 is 44143311421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7202467 + ... + 7204189.

It is an arithmetic number, because the mean of its divisors is an integer number (338621184).

Almost surely, 212411334144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12411334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544847360).

12411334144 is an abundant number, since it is smaller than the sum of its proper divisors (14678360576).

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

12411334144 is a wasteful number, since it uses less digits than its factorization.

12411334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3015 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 12411334144 its reverse (44143311421), we get a palindrome (56554645565).

The spelling of 12411334144 in words is "twelve billion, four hundred eleven million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1279 1408 1723 2558 2816 3446 5116 5632 6892 10232 13784 14069 18953 20464 27568 28138 37906 40928 55136 56276 75812 81856 110272 112552 151624 163712 220544 225104 303248 327424 441088 450208 606496 654848 882176 900416 1212992 1800832 2203717 2425984 3601664 4407434 4851968 7203328 8814868 9703936 17629736 24240887 35259472 48481774 70518944 96963548 141037888 193927096 282075776 387854192 564151552 775708384 1128303104 1551416768 3102833536 6205667072 12411334144