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142181024031 = 3316349322097
BaseRepresentation
bin1000010001101010100…
…1100100000100011111
3111120222211200101021000
42010122221210010133
54312141320232111
6145152252441343
713162243522644
oct2043251440437
9446884611230
10142181024031
1155331532842
1223680179253
131053b6ab367
146c4b169dcb
153a72440c56
hex211aa6411f

142181024031 has 16 divisors (see below), whose sum is σ = 210652092000. Its totient is φ = 94781257344.

The previous prime is 142181024021. The next prime is 142181024047. The reversal of 142181024031 is 130420181241.

142181024031 is a `hidden beast` number, since 142 + 18 + 102 + 403 + 1 = 666.

It is not a de Polignac number, because 142181024031 - 26 = 142181023967 is a prime.

It is a super-2 number, since 2×1421810240312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142181023986 and 142181024004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142181024021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280375 + ... + 602471.

It is an arithmetic number, because the mean of its divisors is an integer number (13165755750).

Almost surely, 2142181024031 is an apocalyptic number.

142181024031 is a deficient number, since it is larger than the sum of its proper divisors (68471067969).

142181024031 is a wasteful number, since it uses less digits than its factorization.

142181024031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338455 (or 338449 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 142181024031 in words is "one hundred forty-two billion, one hundred eighty-one million, twenty-four thousand, thirty-one".

Divisors: 1 3 9 27 16349 49047 147141 322097 441423 966291 2898873 8696619 5265963853 15797891559 47393674677 142181024031