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12413141424 = 24324711811553
BaseRepresentation
bin10111000111110000…
…11000000110110000
31012001002111220211200
423203320120012300
5200410231011144
65411424411200
7616415650455
oct134370300660
935032456750
1012413141424
11529a992972
1224a5176b00
13122a9277c8
1485a84382c
154c9b7cc69
hex2e3e181b0

12413141424 has 120 divisors (see below), whose sum is σ = 35531600832. Its totient is φ = 4043642880.

The previous prime is 12413141407. The next prime is 12413141437. The reversal of 12413141424 is 42414131421.

12413141424 is a `hidden beast` number, since 1 + 241 + 3 + 1 + 414 + 2 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 7992232 + ... + 7993784.

Almost surely, 212413141424 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 12413141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765800416).

12413141424 is an abundant number, since it is smaller than the sum of its proper divisors (23118459408).

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

12413141424 is a wasteful number, since it uses less digits than its factorization.

12413141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2786 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12413141424 its reverse (42414131421), we get a palindrome (54827272845).

The spelling of 12413141424 in words is "twelve billion, four hundred thirteen million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1181 1553 1692 2256 2362 3106 3384 3543 4659 4724 6212 6768 7086 9318 9448 10629 12424 13977 14172 18636 18896 21258 24848 27954 28344 37272 42516 55507 55908 56688 72991 74544 85032 111014 111816 145982 166521 170064 218973 222028 223632 291964 333042 437946 444056 499563 583928 656919 666084 875892 888112 999126 1167856 1313838 1332168 1751784 1834093 1998252 2627676 2664336 3503568 3668186 3996504 5255352 5502279 7336372 7993008 10510704 11004558 14672744 16506837 22009116 29345488 33013674 44018232 66027348 86202371 88036464 132054696 172404742 258607113 264109392 344809484 517214226 689618968 775821339 1034428452 1379237936 1551642678 2068856904 3103285356 4137713808 6206570712 12413141424