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241590927361 = 7614332
BaseRepresentation
bin1110000011111111110…
…0010000000000000001
3212002120212221201001111
43200333330100000001
512424234234133421
6302552500003321
723311564000000
oct3407774200001
9762525851044
10241590927361
1193504864543
123a9a4390541
1319a21b7ba74
14b99baa0c37
15643e966ee1
hex383ff10001

241590927361 has 21 divisors (see below), whose sum is σ = 282052566211. Its totient is φ = 206933431152.

The previous prime is 241590927343. The next prime is 241590927367. The reversal of 241590927361 is 163729095142.

The square root of 241590927361 is 491519.

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., 200359188225 + 41231739136 = 447615^2 + 203056^2 .

It is not a de Polignac number, because 241590927361 - 25 = 241590927329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241590927367) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 168590301 + ... + 168591733.

Almost surely, 2241590927361 is an apocalyptic number.

241590927361 is the 491519-th square number.

241590927361 is the 245760-th centered octagonal number.

It is an amenable number.

241590927361 is a deficient number, since it is larger than the sum of its proper divisors (40461638850).

241590927361 is an frugal number, since it uses more digits than its factorization.

241590927361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 241590927361 by its sum of digits (49), we get a square (11837955440689 = 34406332).

241590927361 divided by its sum of digits (49) gives a square (4930427089 = 702172).

The spelling of 241590927361 in words is "two hundred forty-one billion, five hundred ninety million, nine hundred twenty-seven thousand, three hundred sixty-one".

Divisors: 1 7 49 343 1433 2401 10031 16807 70217 117649 491519 2053489 3440633 14374423 24084431 100620961 168591017 704346727 4930427089 34512989623 241590927361