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12423414240 = 253258627371
BaseRepresentation
bin10111001000111111…
…00100000111100000
31012001210211211111100
423210133210013200
5200420343223430
65412432514400
7616602164406
oct134437440740
935053754440
1012423414240
1152a5769aa6
1224a86aba00
13122cab35b3
1485bd59476
154caa0b960
hex2e47e41e0

12423414240 has 72 divisors (see below), whose sum is σ = 42394906008. Its totient is φ = 3312910080.

The previous prime is 12423414229. The next prime is 12423414251. The reversal of 12423414240 is 4241432421.

12423414240 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 3 + 414 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (12423414229) and next prime (12423414251).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4312246 + ... + 4315125.

It is an arithmetic number, because the mean of its divisors is an integer number (588818139).

Almost surely, 212423414240 is an apocalyptic number.

12423414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12423414240 is an abundant number, since it is smaller than the sum of its proper divisors (29971491768).

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

12423414240 is a wasteful number, since it uses less digits than its factorization.

12423414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627392 (or 8627381 counting only the distinct ones).

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

Adding to 12423414240 its reverse (4241432421), we get a palindrome (16664846661).

The spelling of 12423414240 in words is "twelve billion, four hundred twenty-three million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8627371 17254742 25882113 34509484 43136855 51764226 69018968 77646339 86273710 103528452 129410565 138037936 155292678 172547420 207056904 258821130 276075872 310585356 345094840 388231695 414113808 517642260 621170712 690189680 776463390 828227616 1035284520 1242341424 1380379360 1552926780 2070569040 2484682848 3105853560 4141138080 6211707120 12423414240