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242553431555 = 51741210316481
BaseRepresentation
bin1110000111100101001…
…1111010011000000011
3212012001222001222120222
43201321103322120003
512433222134302210
6303232201453255
723344462102451
oct3417123723003
9765058058528
10242553431555
11939590a8156
123b0127a122b
1319b463bb186
14ba4d84b9d1
1564991dd655
hex38794fa603

242553431555 has 48 divisors (see below), whose sum is σ = 318971794752. Its totient is φ = 176433561600.

The previous prime is 242553431503. The next prime is 242553431563. The reversal of 242553431555 is 555134355242.

242553431555 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242553431555 - 216 = 242553366019 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14708915 + ... + 14725395.

It is an arithmetic number, because the mean of its divisors is an integer number (6645245724).

Almost surely, 2242553431555 is an apocalyptic number.

242553431555 is a deficient number, since it is larger than the sum of its proper divisors (76418363197).

242553431555 is a wasteful number, since it uses less digits than its factorization.

242553431555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16688 (or 16647 counting only the distinct ones).

The product of its digits is 1800000, while the sum is 44.

Adding to 242553431555 its reverse (555134355242), we get a palindrome (797687786797).

The spelling of 242553431555 in words is "two hundred forty-two billion, five hundred fifty-three million, four hundred thirty-one thousand, five hundred fifty-five".

Divisors: 1 5 17 41 85 103 205 515 697 1681 1751 3485 4223 8405 8755 16481 21115 28577 71791 82405 142885 173143 280177 358955 675721 865715 1400885 1697543 2943431 3378605 8487715 11487257 14717155 27704561 28858231 57436285 69599263 138522805 144291155 347996315 470977537 1183187471 2354887685 2853569783 5915937355 14267848915 48510686311 242553431555