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12340543240 = 2353119515101
BaseRepresentation
bin10110111111000110…
…11011111100001000
31011212000220112212001
423133203123330020
5200233134340430
65400312400344
7614544613114
oct133743337410
934760815761
1012340543240
115262a07873
1224849a60b4
1312188894bc
14850d46744
154c35dc3ca
hex2df8dbf08

12340543240 has 64 divisors (see below), whose sum is σ = 28682219520. Its totient is φ = 4773600000.

The previous prime is 12340543231. The next prime is 12340543247. The reversal of 12340543240 is 4234504321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12340543199 and 12340543208.

It is not an unprimeable number, because it can be changed into a prime (12340543247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2416690 + ... + 2421790.

It is an arithmetic number, because the mean of its divisors is an integer number (448159680).

Almost surely, 212340543240 is an apocalyptic number.

12340543240 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 12340543240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341109760).

12340543240 is an abundant number, since it is smaller than the sum of its proper divisors (16341676280).

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

12340543240 is a wasteful number, since it uses less digits than its factorization.

12340543240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The spelling of 12340543240 in words is "twelve billion, three hundred forty million, five hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1951 3902 5101 7804 9755 10202 15608 19510 20404 25505 39020 40808 51010 60481 78040 102020 120962 158131 204040 241924 302405 316262 483848 604810 632524 790655 1209620 1265048 1581310 2419240 3162620 6325240 9952051 19904102 39808204 49760255 79616408 99520510 199041020 308513581 398082040 617027162 1234054324 1542567905 2468108648 3085135810 6170271620 12340543240