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12333334344 = 23323149149953
BaseRepresentation
bin10110111110001111…
…11011111101001000
31011211112100022002220
423133013323331020
5200224313144334
65355454054040
7614426416662
oct133707737510
934745308086
1012333334344
115259933701
1224824aa320
131217234196
1484ddcb532
154c2b66449
hex2df1fbf48

12333334344 has 64 divisors (see below), whose sum is σ = 32390064000. Its totient is φ = 3905949696.

The previous prime is 12333334337. The next prime is 12333334393. The reversal of 12333334344 is 44343333321.

It is a super-2 number, since 2×123333343442 (a number of 21 digits) contains 22 as substring.

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

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, 7272 + ... + 157224.

It is an arithmetic number, because the mean of its divisors is an integer number (506094750).

Almost surely, 212333334344 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 12333334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195032000).

12333334344 is an abundant number, since it is smaller than the sum of its proper divisors (20056729656).

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

12333334344 is a wasteful number, since it uses less digits than its factorization.

12333334344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150134 (or 150130 counting only the distinct ones).

The product of its digits is 93312, while the sum is 33.

Adding to 12333334344 its reverse (44343333321), we get a palindrome (56676667665).

The spelling of 12333334344 in words is "twelve billion, three hundred thirty-three million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 149 184 276 298 447 552 596 894 1192 1788 3427 3576 6854 10281 13708 20562 27416 41124 82248 149953 299906 449859 599812 899718 1199624 1799436 3448919 3598872 6897838 10346757 13795676 20693514 22342997 27591352 41387028 44685994 67028991 82774056 89371988 134057982 178743976 268115964 513888931 536231928 1027777862 1541666793 2055555724 3083333586 4111111448 6166667172 12333334344