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12423124144 = 2437791092437
BaseRepresentation
bin10111001000111100…
…11101010010110000
31012001210022002120001
423210132131102300
5200420304433034
65412422355344
7616566545554
oct134436352260
935053262501
1012423124144
1152a5591052
1224a858bb54
13122ca11542
1485bcc1864
154ca9a0a14
hex2e479d4b0

12423124144 has 80 divisors (see below), whose sum is σ = 25273283200. Its totient is φ = 5910008832.

The previous prime is 12423124127. The next prime is 12423124151. The reversal of 12423124144 is 44142132421.

12423124144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×124231241443 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5096494 + ... + 5098930.

It is an arithmetic number, because the mean of its divisors is an integer number (315916040).

Almost surely, 212423124144 is an apocalyptic number.

It is an amenable number.

12423124144 is an abundant number, since it is smaller than the sum of its proper divisors (12850159056).

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

12423124144 is a wasteful number, since it uses less digits than its factorization.

12423124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2664 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 12423124144 its reverse (44142132421), we get a palindrome (56565256565).

The spelling of 12423124144 in words is "twelve billion, four hundred twenty-three million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 74 79 109 148 158 218 296 316 436 592 632 872 1264 1744 2437 2923 4033 4874 5846 8066 8611 9748 11692 16132 17222 19496 23384 32264 34444 38992 46768 64528 68888 90169 137776 180338 192523 265633 318607 360676 385046 531266 637214 721352 770092 1062532 1274428 1442704 1540184 2125064 2548856 3080368 4250128 5097712 7123351 9828421 14246702 19656842 20985007 28493404 39313684 41970014 56986808 78627368 83940028 113973616 157254736 167880056 335760112 776445259 1552890518 3105781036 6211562072 12423124144