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3205142237538 = 232296140119229
BaseRepresentation
bin101110101001000001010…
…111010101000101100010
3102100102000212120200201200
4232221001113111011202
5410003112403100123
610452231053342030
7450364261335213
oct56510127250542
912312025520650
103205142237538
11102632526506a
12439217797916
131a33222bc587
14b11b5d0340a
155858e369143
hex2ea415d5162

3205142237538 has 24 divisors (see below), whose sum is σ = 7183939499100. Its totient is φ = 1031540030304.

The previous prime is 3205142237491. The next prime is 3205142237569. The reversal of 3205142237538 is 8357322415023.

It is a happy number.

3205142237538 is a `hidden beast` number, since 3 + 2 + 0 + 51 + 42 + 23 + 7 + 538 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3184629409809 + 20512827729 = 1784553^2 + 143223^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3205142237493 and 3205142237502.

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, 3070059093 + ... + 3070060136.

Almost surely, 23205142237538 is an apocalyptic number.

3205142237538 is an abundant number, since it is smaller than the sum of its proper divisors (3978797261562).

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

3205142237538 is a wasteful number, since it uses less digits than its factorization.

3205142237538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140119266 (or 6140119263 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3205142237538 in words is "three trillion, two hundred five billion, one hundred forty-two million, two hundred thirty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 6140119229 12280238458 18420357687 36840715374 55261073061 110522146122 178063457641 356126915282 534190372923 1068380745846 1602571118769 3205142237538