Search a number
-
+
204314233432140 = 223351347619246631
BaseRepresentation
bin101110011101001010011101…
…010011100110100001001100
3222210102020202012222001112000
4232131022131103212201030
5203234441022224312030
62002312355120312300
761015134112401066
oct5635123523464114
9883366665861460
10204314233432140
115a1121a8347477
121aab9573472690
138a009989865c0
143864c0c584736
151894a3709b860
hexb9d29d4e684c

204314233432140 has 192 divisors, whose sum is σ = 699104677662720. Its totient is φ = 49222676125440.

The previous prime is 204314233432139. The next prime is 204314233432151. The reversal of 204314233432140 is 41234332413402.

204314233432140 is a `hidden beast` number, since 2 + 0 + 4 + 31 + 423 + 34 + 32 + 140 = 666.

204314233432140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 204314233432095 and 204314233432104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309293376 + ... + 309953255.

It is an arithmetic number, because the mean of its divisors is an integer number (3641170196160).

Almost surely, 2204314233432140 is an apocalyptic number.

204314233432140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204314233432140 is an abundant number, since it is smaller than the sum of its proper divisors (494790444230580).

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

204314233432140 is a wasteful number, since it uses less digits than its factorization.

204314233432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619246709 (or 619246701 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 204314233432140 its reverse (41234332413402), we get a palindrome (245548565845542).

The spelling of 204314233432140 in words is "two hundred four trillion, three hundred fourteen billion, two hundred thirty-three million, four hundred thirty-two thousand, one hundred forty".