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242550521401131 = 321955715629162937
BaseRepresentation
bin110111001001100100110001…
…101010110000111100101011
31011210210121021212112201121100
4313021210301222300330223
5223242421431434314011
62215510100555012443
7102042461013521526
oct6711446152607453
91153717255481540
10242550521401131
117031410a063079
1223253abaa3a123
13a545554014668
1443c7717869bbd
151d09467e05d56
hexdc9931ab0f2b

242550521401131 has 48 divisors (see below), whose sum is σ = 369478273975200. Its totient is φ = 152904053942784.

The previous prime is 242550521401057. The next prime is 242550521401151. The reversal of 242550521401131 is 131104125055242.

242550521401131 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 50 + 521 + 40 + 11 + 31 = 666.

It is not a de Polignac number, because 242550521401131 - 27 = 242550521401003 is a prime.

It is a super-3 number, since 3×2425505214011313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (242550521401151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488533895 + ... + 1488696831.

It is an arithmetic number, because the mean of its divisors is an integer number (7697464041150).

Almost surely, 2242550521401131 is an apocalyptic number.

242550521401131 is a deficient number, since it is larger than the sum of its proper divisors (126927752574069).

242550521401131 is a wasteful number, since it uses less digits than its factorization.

242550521401131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179148 (or 179145 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 242550521401131 its reverse (131104125055242), we get a palindrome (373654646456373).

The spelling of 242550521401131 in words is "two hundred forty-two trillion, five hundred fifty billion, five hundred twenty-one million, four hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 19 57 171 557 1671 5013 10583 15629 31749 46887 95247 140661 162937 296951 488811 890853 1466433 2672559 3095803 8705353 9287409 26116059 27862227 78348177 90755909 165401707 272267727 496205121 816803181 1488615363 1724362271 2546542373 5173086813 7639627119 15519260439 22918881357 48384305087 145152915261 435458745783 1418424101761 4255272305283 12765816915849 26950057933459 80850173800377 242550521401131