Search a number
-
+
12340045980 = 2233522851937
BaseRepresentation
bin10110111111000011…
…00010100010011100
31011211222222021202000
423133201202202130
5200233022432410
65400254002300
7614540442303
oct133741424234
934758867660
1012340045980
1152626a8209
1224847a6390
131218744072
14850c5743a
154c353edc0
hex2df86289c

12340045980 has 48 divisors (see below), whose sum is σ = 38391255840. Its totient is φ = 3290678784.

The previous prime is 12340045937. The next prime is 12340046027. The reversal of 12340045980 is 8954004321.

12340045980 is a `hidden beast` number, since 1 + 23 + 40 + 0 + 4 + 598 + 0 = 666.

12340045980 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 (36).

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 15 ways as a sum of consecutive naturals, for example, 11425429 + ... + 11426508.

It is an arithmetic number, because the mean of its divisors is an integer number (799817830).

Almost surely, 212340045980 is an apocalyptic number.

12340045980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340045980 is an abundant number, since it is smaller than the sum of its proper divisors (26051209860).

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

12340045980 is a wasteful number, since it uses less digits than its factorization.

12340045980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22851955 (or 22851947 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12340045980 in words is "twelve billion, three hundred forty million, forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22851937 45703874 68555811 91407748 114259685 137111622 205667433 228519370 274223244 342779055 411334866 457038740 617002299 685558110 822669732 1028337165 1234004598 1371116220 2056674330 2468009196 3085011495 4113348660 6170022990 12340045980