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542245116114 = 2321323323814177
BaseRepresentation
bin1111110010000000101…
…00111101100011010010
31220211121222211222001200
413321000110331203102
532341004222203424
61053034242412030
754114224303232
oct7710024754322
91824558758050
10542245116114
11199a682604a9
1289110961016
133c19739a0c0
141c35da53cc2
15e1897998c9
hex7e4053d8d2

542245116114 has 96 divisors (see below), whose sum is σ = 1271506816944. Its totient is φ = 166019051520.

The previous prime is 542245116071. The next prime is 542245116121. The reversal of 542245116114 is 411611542245.

542245116114 is a `hidden beast` number, since 5 + 4 + 2 + 24 + 5 + 11 + 611 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49184150625 + 493060965489 = 221775^2 + 702183^2 .

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, 129814794 + ... + 129818970.

Almost surely, 2542245116114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542245116114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635753408472).

542245116114 is an abundant number, since it is smaller than the sum of its proper divisors (729261700830).

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

542245116114 is a wasteful number, since it uses less digits than its factorization.

542245116114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6809 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 542245116114 its reverse (411611542245), we get a palindrome (953856658359).

The spelling of 542245116114 in words is "five hundred forty-two billion, two hundred forty-five million, one hundred sixteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2097 2381 3029 4177 4194 4762 6058 7143 8354 9087 12531 14286 18174 21429 25062 27261 30953 37593 42858 54301 54522 61906 75186 92859 108602 162903 185718 278577 325806 488709 554773 557154 973241 977418 1109546 1664319 1946482 2919723 3328638 4992957 5839446 7212049 8759169 9945437 9985914 12652133 14424098 17518338 19890874 21636147 25304266 29836311 37956399 43272294 59672622 64908441 75912798 89508933 113869197 129290681 129816882 179017866 227738394 258581362 387872043 775744086 1163616129 2317286821 2327232258 4634573642 6951860463 13903720926 20855581389 30124728673 41711162778 60249457346 90374186019 180748372038 271122558057 542245116114