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12340714260 = 22357227129439
BaseRepresentation
bin10110111111001000…
…00101101100010100
31011212001020020110010
423133210011230110
5200233210324020
65400320200220
7614546224530
oct133744055424
934761206403
1012340714260
115263014306
122484a69070
1312189192b4
14850d8cbc0
154c3622de0
hex2df905b14

12340714260 has 96 divisors (see below), whose sum is σ = 39664558080. Its totient is φ = 2808286848.

The previous prime is 12340714249. The next prime is 12340714277. The reversal of 12340714260 is 6241704321.

12340714260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30621 + ... + 160059.

It is an arithmetic number, because the mean of its divisors is an integer number (413172480).

Almost surely, 212340714260 is an apocalyptic number.

12340714260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340714260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19832279040).

12340714260 is an abundant number, since it is smaller than the sum of its proper divisors (27323843820).

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

12340714260 is a wasteful number, since it uses less digits than its factorization.

12340714260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129685 (or 129683 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 12340714260 in words is "twelve billion, three hundred forty million, seven hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 227 420 454 681 908 1135 1362 1589 2270 2724 3178 3405 4540 4767 6356 6810 7945 9534 13620 15890 19068 23835 31780 47670 95340 129439 258878 388317 517756 647195 776634 906073 1294390 1553268 1812146 1941585 2588780 2718219 3624292 3883170 4530365 5436438 7766340 9060730 10872876 13591095 18121460 27182190 29382653 54364380 58765306 88147959 117530612 146913265 176295918 205678571 293826530 352591836 411357142 440739795 587653060 617035713 822714284 881479590 1028392855 1234071426 1762959180 2056785710 2468142852 3085178565 4113571420 6170357130 12340714260