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241398290329 = 743722712
BaseRepresentation
bin1110000011010001110…
…1011001011110011001
3212002002110110201201121
43200310131121132121
512423340430242304
6302521415045241
723304034420000
oct3406435313631
9762073421647
10241398290329
1193416050489
123a94b970821
13199c0ca1c61
14b980277c37
15642cab4554
hex3834759799

241398290329 has 45 divisors (see below), whose sum is σ = 290503448991. Its totient is φ = 200577701520.

The previous prime is 241398290317. The next prime is 241398290351. The reversal of 241398290329 is 923092893142.

The square root of 241398290329 is 491323.

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., 216006505225 + 25391785104 = 464765^2 + 159348^2 .

It is not a de Polignac number, because 241398290329 - 27 = 241398290201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241398290729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 890768464 + ... + 890768734.

Almost surely, 2241398290329 is an apocalyptic number.

241398290329 is the 491323-rd square number.

241398290329 is the 245662-nd centered octagonal number.

It is an amenable number.

241398290329 is a deficient number, since it is larger than the sum of its proper divisors (49105158662).

241398290329 is an frugal number, since it uses more digits than its factorization.

241398290329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 241398290329 in words is "two hundred forty-one billion, three hundred ninety-eight million, two hundred ninety thousand, three hundred twenty-nine".

Divisors: 1 7 37 49 259 271 343 1369 1813 1897 2401 9583 10027 12691 13279 67081 70189 73441 88837 92953 370999 469567 491323 514087 650671 2596993 2717317 3286969 3439261 3598609 18178951 19021219 24074827 25190263 100540729 127252657 133148533 176331841 703785103 890768599 932039731 4926495721 6524278117 34485470047 241398290329