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12133406440 = 235721942019
BaseRepresentation
bin10110100110011010…
…10001011011101000
31011022121010220120201
423103031101123220
5144322123001230
65323553001544
7606451152541
oct132315213350
934277126521
1012133406440
115166a9a931
1224275532b4
1311b49a394c
148316274c8
154b03235ca
hex2d33516e8

12133406440 has 32 divisors (see below), whose sum is σ = 27304596000. Its totient is φ = 4852574784.

The previous prime is 12133406429. The next prime is 12133406491. The reversal of 12133406440 is 4460433121.

12133406440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12133406399 and 12133406408.

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 7 ways as a sum of consecutive naturals, for example, 267751 + ... + 309769.

It is an arithmetic number, because the mean of its divisors is an integer number (853268625).

Almost surely, 212133406440 is an apocalyptic number.

12133406440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133406440 is an abundant number, since it is smaller than the sum of its proper divisors (15171189560).

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

12133406440 is a wasteful number, since it uses less digits than its factorization.

12133406440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49249 (or 49245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12133406440 its reverse (4460433121), we get a palindrome (16593839561).

The spelling of 12133406440 in words is "twelve billion, one hundred thirty-three million, four hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 7219 14438 28876 36095 42019 57752 72190 84038 144380 168076 210095 288760 336152 420190 840380 1680760 303335161 606670322 1213340644 1516675805 2426681288 3033351610 6066703220 12133406440