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39042203281 = 1725921972
BaseRepresentation
bin100100010111000110…
…001011111010010001
310201202220210102101221
4210113012023322101
51114424301001111
625534041525041
72551334152354
oct442706137221
9121686712357
1039042203281
1115615340204
1276971a3781
1338b2800a43
141c652c829b
151037890371
hex91718be91

39042203281 has 27 divisors (see below), whose sum is σ = 42404002609. Its totient is φ = 35939431808.

The previous prime is 39042203267. The next prime is 39042203297. The reversal of 39042203281 is 18230224093.

It is a happy number.

The square root of 39042203281 is 197591.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25395290881 + 13646912400 = 159359^2 + 116820^2 .

It is not a de Polignac number, because 39042203281 - 27 = 39042203153 is a prime.

It is a super-2 number, since 2×390422032812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39042203581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 198183675 + ... + 198183871.

Almost surely, 239042203281 is an apocalyptic number.

39042203281 is the 197591-st square number.

39042203281 is the 98796-th centered octagonal number.

It is an amenable number.

39042203281 is a deficient number, since it is larger than the sum of its proper divisors (3361799328).

39042203281 is an frugal number, since it uses more digits than its factorization.

39042203281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 39042203281 by its product of nonzero digits (20736), we get a square (809579127234816 = 284531042).

The spelling of 39042203281 in words is "thirty-nine billion, forty-two million, two hundred three thousand, two hundred eighty-one".

Divisors: 1 17 59 197 289 1003 3349 3481 11623 17051 38809 56933 59177 197591 659753 685757 1006009 2289731 3359047 11215801 11657869 38925427 135094129 198183773 661732259 2296600193 39042203281