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331077104449 = 7213263232
BaseRepresentation
bin1001101000101011011…
…10111011001101000001
31011122120022222111122121
410310111232323031001
520411021214320244
6412032243204241
732630253645400
oct4642556731501
91148508874577
10331077104449
111184554378a3
12541b9076681
13252b33b9300
141204a649637
15892ab49c84
hex4d15bbb341

331077104449 has 27 divisors (see below), whose sum is σ = 417100777443. Its totient is φ = 261909687312.

The previous prime is 331077104443. The next prime is 331077104453. The reversal of 331077104449 is 944401770133.

The square root of 331077104449 is 575393.

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

It can be written as a sum of positive squares in only one way, i.e., 48975903025 + 282101201424 = 221305^2 + 531132^2 .

It is not a de Polignac number, because 331077104449 - 211 = 331077102401 is a prime.

It is a super-2 number, since 2×3310771044492 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331077104443) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52357602 + ... + 52363924.

Almost surely, 2331077104449 is an apocalyptic number.

331077104449 is the 575393-rd square number.

331077104449 is the 287697-th centered octagonal number.

It is an amenable number.

331077104449 is a deficient number, since it is larger than the sum of its proper divisors (86023672994).

331077104449 is an frugal number, since it uses more digits than its factorization.

331077104449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12686 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 331077104449 in words is "three hundred thirty-one billion, seventy-seven million, one hundred four thousand, four hundred forty-nine".

Divisors: 1 7 13 49 91 169 637 1183 6323 8281 44261 82199 309827 575393 1068587 4027751 7480109 39980329 52360763 279862303 519744277 1959036121 3638209939 6756675601 25467469573 47296729207 331077104449