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12455445141 = 3313926312619
BaseRepresentation
bin10111001100110011…
…10000001010010101
31012011001010011122000
423212121300022111
5201002043221031
65415535225513
7620441352066
oct134631601225
935131104560
1012455445141
115311857317
1224b7378299
131236619aa9
148622d656d
154cd7373e6
hex2e6670295

12455445141 has 32 divisors (see below), whose sum is σ = 18657408000. Its totient is φ = 8211895344.

The previous prime is 12455445133. The next prime is 12455445169. The reversal of 12455445141 is 14154455421.

12455445141 is a `hidden beast` number, since 1 + 24 + 5 + 544 + 51 + 41 = 666.

It is not a de Polignac number, because 12455445141 - 23 = 12455445133 is a prime.

It is a super-2 number, since 2×124554451412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12455445096 and 12455445105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12455445181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980730 + ... + 993348.

It is an arithmetic number, because the mean of its divisors is an integer number (583044000).

Almost surely, 212455445141 is an apocalyptic number.

It is an amenable number.

12455445141 is a deficient number, since it is larger than the sum of its proper divisors (6201962859).

12455445141 is a wasteful number, since it uses less digits than its factorization.

12455445141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030 (or 13024 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The spelling of 12455445141 in words is "twelve billion, four hundred fifty-five million, four hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 9 27 139 263 417 789 1251 2367 3753 7101 12619 36557 37857 109671 113571 329013 340713 987039 1754041 3318797 5262123 9956391 15786369 29869173 47359107 89607519 461312783 1383938349 4151815047 12455445141