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12424241104 = 2411176076841
BaseRepresentation
bin10111001001000101…
…01101111111010000
31012001212101211201221
423210202231333100
5200421101203404
65412502334424
7616612210162
oct134442557720
935055354657
1012424241104
1152a6184260
1224a8a2a414
131230012a72
1485c0d2932
154cab21954
hex2e48adfd0

12424241104 has 80 divisors (see below), whose sum is σ = 27854931456. Its totient is φ = 5305651200.

The previous prime is 12424241083. The next prime is 12424241107. The reversal of 12424241104 is 40114242421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424241107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812724 + ... + 1819564.

Almost surely, 212424241104 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 12424241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927465728).

12424241104 is an abundant number, since it is smaller than the sum of its proper divisors (15430690352).

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

12424241104 is a wasteful number, since it uses less digits than its factorization.

12424241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 12424241104 its reverse (40114242421), we get a palindrome (52538483525).

The spelling of 12424241104 in words is "twelve billion, four hundred twenty-four million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 607 748 1214 1496 2428 2992 4856 6677 6841 9712 10319 13354 13682 20638 26708 27364 41276 53416 54728 75251 82552 106832 109456 113509 116297 150502 165104 227018 232594 301004 454036 465188 602008 908072 930376 1204016 1279267 1816144 1860752 2558534 4152487 5117068 8304974 10234136 16609948 20468272 33219896 45677357 66439792 70592279 91354714 141184558 182709428 282369116 365418856 564738232 730837712 776515069 1129476464 1553030138 3106060276 6212120552 12424241104