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12342301331400 = 2332526856834073
BaseRepresentation
bin1011001110011010101001…
…1111001000111111001000
31121200220122012102102020100
42303212222133020333020
53104204013120101100
642125550331325400
72412462506223555
oct263465237107710
947626565372210
1012342301331400
113a2938237a517
12147402b8b0860
136b6b492c0bb1
14309528bc5a2c
151660b914c400
hexb39aa7c8fc8

12342301331400 has 72 divisors (see below), whose sum is σ = 41449561977330. Its totient is φ = 3291280354560.

The previous prime is 12342301331329. The next prime is 12342301331411. The reversal of 12342301331400 is 413310324321.

It is a happy number.

12342301331400 is a `hidden beast` number, since 1 + 2 + 3 + 42 + 301 + 3 + 314 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7165247532804 + 5177053798596 = 2676798^2 + 2275314^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3428415237 + ... + 3428418836.

Almost surely, 212342301331400 is an apocalyptic number.

12342301331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342301331400 is an abundant number, since it is smaller than the sum of its proper divisors (29107260645930).

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

12342301331400 is a wasteful number, since it uses less digits than its factorization.

12342301331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856834095 (or 6856834083 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12342301331400 its reverse (413310324321), we get a palindrome (12755611655721).

The spelling of 12342301331400 in words is "twelve trillion, three hundred forty-two billion, three hundred one million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6856834073 13713668146 20570502219 27427336292 34284170365 41141004438 54854672584 61711506657 68568340730 82282008876 102852511095 123423013314 137136681460 164564017752 171420851825 205705022190 246846026628 274273362920 308557533285 342841703650 411410044380 493692053256 514262555475 617115066570 685683407300 822820088760 1028525110950 1234230133140 1371366814600 1542787666425 2057050221900 2468460266280 3085575332850 4114100443800 6171150665700 12342301331400