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542441263041414 = 233114448332052907
BaseRepresentation
bin111101101010110001111001…
…0110010111000101110000110
32122010121212201021121120022000
41323111203302302320232012
51032044324201314311124
65201402024233250130
7222154042113502002
oct17325436262705606
92563555637546260
10542441263041414
11147925058632840
1250a08901563946
131a389cb777ac89
1497d44237b5702
1542aa21e8176c9
hex1ed58f2cb8b86

542441263041414 has 64 divisors (see below), whose sum is σ = 1315012719271680. Its totient is φ = 164375690722560.

The previous prime is 542441263041397. The next prime is 542441263041481. The reversal of 542441263041414 is 414140362144245.

542441263041414 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 4 + 1 + 2 + 630 + 4 + 1 + 4 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 542441263041414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263204349 + ... + 265257255.

It is an arithmetic number, because the mean of its divisors is an integer number (20547073738620).

Almost surely, 2542441263041414 is an apocalyptic number.

542441263041414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

542441263041414 is an abundant number, since it is smaller than the sum of its proper divisors (772571456230266).

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

542441263041414 is a wasteful number, since it uses less digits than its factorization.

542441263041414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497762 (or 2497756 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 542441263041414 in words is "five hundred forty-two trillion, four hundred forty-one billion, two hundred sixty-three million, forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 444833 889666 1334499 2052907 2668998 4003497 4105814 4893163 6158721 8006994 9786326 12010491 12317442 14679489 18476163 22581977 24020982 29358978 36952326 44038467 45163954 55428489 67745931 88076934 110856978 132115401 135491862 203237793 264230802 406475586 609713379 1219426758 913200779531 1826401559062 2739602338593 5479204677186 8218807015779 10045208574841 16437614031558 20090417149682 24656421047337 30135625724523 49312842094674 60271251449046 90406877173569 180813754347138 271220631520707 542441263041414