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242033431011444 = 22341743942162493
BaseRepresentation
bin110111000010000011001100…
…101011011110000001110100
31011201222011120221202021010000
4313002003030223132001310
5223210433431314331234
62214432342341231300
7101660224022653152
oct6702031453360164
91151864527667100
10242033431011444
1170134890009986
122318b84a402530
13a508868246087
1443aa6a29583d2
151ceaca1be3899
hexdc20ccade074

242033431011444 has 60 divisors (see below), whose sum is σ = 669942209383524. Its totient is φ = 75932056786176.

The previous prime is 242033431011431. The next prime is 242033431011457. The reversal of 242033431011444 is 444110134330242.

242033431011444 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 334 + 310 + 1 + 1 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (242033431011431) and next prime (242033431011457).

It can be written as a sum of positive squares in 2 ways, for example, as 128124515024100 + 113908915987344 = 11319210^2 + 10672812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242033431011399 and 242033431011408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21971075739 + ... + 21971086754.

Almost surely, 2242033431011444 is an apocalyptic number.

It is an amenable number.

242033431011444 is an abundant number, since it is smaller than the sum of its proper divisors (427908778372080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242033431011444 is a wasteful number, since it uses less digits than its factorization.

242033431011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43942162526 (or 43942162515 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 242033431011444 its reverse (444110134330242), we get a palindrome (686143565341686).

The spelling of 242033431011444 in words is "two hundred forty-two trillion, thirty-three billion, four hundred thirty-one million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 43942162493 87884324986 131826487479 175768649972 263652974958 395479462437 527305949916 747016762381 790958924874 1186438387311 1494033524762 1581917849748 2241050287143 2372876774622 2988067049524 3559315161933 4482100574286 4745753549244 6723150861429 7118630323866 8964201148572 13446301722858 14237260647732 20169452584287 26892603445716 40338905168574 60508357752861 80677810337148 121016715505722 242033431011444