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30827182140 = 22325171262123
BaseRepresentation
bin11100101101011100…
…010111100000111100
32221120101210002221200
4130231130113200330
51001113224312030
622054541255500
72140632503406
oct345534274074
987511702850
1030827182140
111208a160237
125b83b64590
132ba38744a1
1416c624bb76
15c0656ed60
hex72d71783c

30827182140 has 36 divisors (see below), whose sum is σ = 93509119704. Its totient is φ = 8220581856.

The previous prime is 30827182129. The next prime is 30827182153. The reversal of 30827182140 is 4128172803.

30827182140 is a `hidden beast` number, since 308 + 271 + 82 + 1 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30827182095 and 30827182104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85630882 + ... + 85631241.

Almost surely, 230827182140 is an apocalyptic number.

30827182140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30827182140 is an abundant number, since it is smaller than the sum of its proper divisors (62681937564).

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

30827182140 is a wasteful number, since it uses less digits than its factorization.

30827182140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171262138 (or 171262133 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 30827182140 in words is "thirty billion, eight hundred twenty-seven million, one hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 171262123 342524246 513786369 685048492 856310615 1027572738 1541359107 1712621230 2055145476 2568931845 3082718214 3425242460 5137863690 6165436428 7706795535 10275727380 15413591070 30827182140