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445880714049 = 32172130932
BaseRepresentation
bin1100111110100001000…
…11111100001101000001
31120121220012020010121100
412133100203330031001
524301130430322144
6540500151045013
744133224351511
oct6372043741501
91517805203540
10445880714049
111621080479a1
12724b8670769
133307ab52754
141781b7ab841
15b8e9804269
hex67d08fc341

445880714049 has 27 divisors (see below), whose sum is σ = 684216014313. Its totient is φ = 279746923392.

The previous prime is 445880714011. The next prime is 445880714053. The reversal of 445880714049 is 940417088544.

The square root of 445880714049 is 667743.

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

445880714049 is a `hidden beast` number, since 4 + 4 + 588 + 0 + 7 + 14 + 0 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213807286449 + 232073427600 = 462393^2 + 481740^2 .

It is not a de Polignac number, because 445880714049 - 27 = 445880713921 is a prime.

It is a super-2 number, since 2×4458807140492 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 445880713986 and 445880714004.

It is not an unprimeable number, because it can be changed into a prime (445880714749) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 34048347 + ... + 34061439.

Almost surely, 2445880714049 is an apocalyptic number.

445880714049 is the 667743-rd square number.

445880714049 is the 333872-nd centered octagonal number.

It is an amenable number.

445880714049 is a deficient number, since it is larger than the sum of its proper divisors (238335300264).

445880714049 is an frugal number, since it uses more digits than its factorization.

445880714049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26226 (or 13113 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

It can be divided in two parts, 445880 and 714049, that added together give a square (1159929 = 10772).

The spelling of 445880714049 in words is "four hundred forty-five billion, eight hundred eighty million, seven hundred fourteen thousand, forty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 13093 39279 117837 222581 667743 2003229 3783877 11351631 34054893 171426649 514279947 1542839841 2914253033 8742759099 26228277297 49542301561 148626904683 445880714049