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12412344240 = 2432517239367
BaseRepresentation
bin10111000111101010…
…10101011110110000
31012001001000102022100
423203311111132300
5200410030003430
65411355340400
7616406120352
oct134365253660
935031012270
1012412344240
11529a498a3a
1224a4a51700
13122a7089ba
1485a6b70d2
154c9a71960
hex2e3d557b0

12412344240 has 60 divisors (see below), whose sum is σ = 41684791824. Its totient is φ = 3309958272.

The previous prime is 12412344227. The next prime is 12412344319. The reversal of 12412344240 is 4244321421.

12412344240 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 234 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×124123442402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8618964 + ... + 8620403.

Almost surely, 212412344240 is an apocalyptic number.

12412344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412344240 is an abundant number, since it is smaller than the sum of its proper divisors (29272447584).

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

12412344240 is a wasteful number, since it uses less digits than its factorization.

12412344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17239386 (or 17239377 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12412344240 its reverse (4244321421), we get a palindrome (16656665661).

The spelling of 12412344240 in words is "twelve billion, four hundred twelve million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17239367 34478734 51718101 68957468 86196835 103436202 137914936 155154303 172393670 206872404 258590505 275829872 310308606 344787340 413744808 517181010 620617212 689574680 775771515 827489616 1034362020 1241234424 1379149360 1551543030 2068724040 2482468848 3103086060 4137448080 6206172120 12412344240