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12243423140 = 2251367769557
BaseRepresentation
bin10110110011100001…
…11100111110100100
31011121021011100010022
423121300330332210
5200033304020030
65342523014312
7612255244124
oct133160747644
934537140108
1012243423140
115213103023
12245836a398
1312017137a0
148420a4c84
154b9d05de5
hex2d9c3cfa4

12243423140 has 48 divisors (see below), whose sum is σ = 27730270512. Its totient is φ = 4513906176.

The previous prime is 12243423133. The next prime is 12243423149. The reversal of 12243423140 is 4132434221.

It can be written as a sum of positive squares in 8 ways, for example, as 522762496 + 11720660644 = 22864^2 + 108262^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12243423149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141242 + ... + 210798.

It is an arithmetic number, because the mean of its divisors is an integer number (577713969).

Almost surely, 212243423140 is an apocalyptic number.

12243423140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243423140 is an abundant number, since it is smaller than the sum of its proper divisors (15486847372).

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

12243423140 is a wasteful number, since it uses less digits than its factorization.

12243423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70256 (or 70254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12243423140 its reverse (4132434221), we get a palindrome (16375857361).

The spelling of 12243423140 in words is "twelve billion, two hundred forty-three million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 677 1354 2708 3385 6770 8801 13540 17602 35204 44005 69557 88010 139114 176020 278228 347785 695570 904241 1391140 1808482 3616964 4521205 9042410 18084820 47090089 94180178 188360356 235450445 470900890 612171157 941801780 1224342314 2448684628 3060855785 6121711570 12243423140