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12335404240 = 245997315461
BaseRepresentation
bin10110111110011111…
…10101010011010000
31011211200020110110201
423133033311103100
5200230330413430
65400010304544
7614453130445
oct133717652320
934750213421
1012335404240
115260017865
122483128154
1312177aa383
148503a99cc
154c2e248ca
hex2df3f54d0

12335404240 has 40 divisors (see below), whose sum is σ = 28684545768. Its totient is φ = 4933347840.

The previous prime is 12335404189. The next prime is 12335404247. The reversal of 12335404240 is 4240453321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31270464 + 12304133776 = 5592^2 + 110924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12335404199 and 12335404208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12335404247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790110 + ... + 805570.

Almost surely, 212335404240 is an apocalyptic number.

12335404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12335404240 is an abundant number, since it is smaller than the sum of its proper divisors (16349141528).

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

12335404240 is a wasteful number, since it uses less digits than its factorization.

12335404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25447 (or 25441 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 12335404240 its reverse (4240453321), we get a palindrome (16575857561).

The spelling of 12335404240 in words is "twelve billion, three hundred thirty-five million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9973 15461 19946 30922 39892 49865 61844 77305 79784 99730 123688 154610 159568 199460 247376 309220 398920 618440 797840 1236880 154192553 308385106 616770212 770962765 1233540424 1541925530 2467080848 3083851060 6167702120 12335404240