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12144217401 = 323863349303
BaseRepresentation
bin10110100111101101…
…00000110100111001
31011100100111011102200
423103312200310321
5144332404424101
65325020420413
7606642100431
oct132366406471
934310434380
1012144217401
115172104308
12242b0a7709
1311b6cba674
14832c3d2c1
154b125b986
hex2d3da0d39

12144217401 has 12 divisors (see below), whose sum is σ = 17546238528. Its totient is φ = 8094025944.

The previous prime is 12144217361. The next prime is 12144217411. The reversal of 12144217401 is 10471244121.

It is a happy number.

12144217401 is a `hidden beast` number, since 1 + 2 + 1 + 44 + 217 + 401 = 666.

It is not a de Polignac number, because 12144217401 - 225 = 12110662969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12144217411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139885 + ... + 209418.

It is an arithmetic number, because the mean of its divisors is an integer number (1462186544).

Almost surely, 212144217401 is an apocalyptic number.

It is an amenable number.

12144217401 is a deficient number, since it is larger than the sum of its proper divisors (5402021127).

12144217401 is a wasteful number, since it uses less digits than its factorization.

12144217401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353172 (or 353169 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12144217401 in words is "twelve billion, one hundred forty-four million, two hundred seventeen thousand, four hundred one".

Divisors: 1 3 9 3863 11589 34767 349303 1047909 3143727 1349357489 4048072467 12144217401