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111142416141414 = 232741916979123989
BaseRepresentation
bin11001010001010101011100…
…001110111100110001100110
3112120112010000002001210021100
4121101111130032330301212
5104031424132013011124
61032214042054300530
732260526452510140
oct3121253416746146
9476463002053240
10111142416141414
1132460263487009
121057018a357746
134a028b9879958
141d63470837c90
15ccb108d5e1c9
hex65155c3bcc66

111142416141414 has 96 divisors (see below), whose sum is σ = 275885090208000. Its totient is φ = 31677067236672.

The previous prime is 111142416141353. The next prime is 111142416141473. The reversal of 111142416141414 is 414141614241111.

111142416141414 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 4 + 24 + 1 + 614 + 1 + 4 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896327332 + ... + 896451320.

It is an arithmetic number, because the mean of its divisors is an integer number (2873803023000).

Almost surely, 2111142416141414 is an apocalyptic number.

111142416141414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

111142416141414 is an abundant number, since it is smaller than the sum of its proper divisors (164742674066586).

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

111142416141414 is a wasteful number, since it uses less digits than its factorization.

111142416141414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141402 (or 141399 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The spelling of 111142416141414 in words is "one hundred eleven trillion, one hundred forty-two billion, four hundred sixteen million, one hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 419 838 1257 2514 2933 3771 5866 7542 8799 16979 17598 26397 33958 50937 52794 101874 118853 123989 152811 237706 247978 305622 356559 371967 713118 743934 867923 1069677 1115901 1735846 2139354 2231802 2603769 5207538 7114201 7811307 14228402 15622614 21342603 42685206 49799407 51951391 64027809 99598814 103902782 128055618 149398221 155854173 298796442 311708346 363659737 448194663 467562519 727319474 896389326 935125038 1090979211 2105209231 2181958422 3272937633 4210418462 6315627693 6545875266 12631255386 14736464617 18946883079 29472929234 37893766158 44209393851 88418787702 132628181553 265256363106 882082667789 1764165335578 2646248003367 5292496006734 6174578674523 7938744010101 12349157349046 15877488020202 18523736023569 37047472047138 55571208070707 111142416141414