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42030310014 = 2327113250619
BaseRepresentation
bin100111001001001100…
…111010001001111110
311000111011102222020200
4213021030322021332
51142034224410024
631150343224330
73015356511660
oct471114721176
9130434388220
1042030310014
1116909018000
12818ba480a6
133c6a8aca34
14206a0b6530
15115ed852c9
hex9c933a27e

42030310014 has 96 divisors (see below), whose sum is σ = 114475196160. Its totient is φ = 10916920080.

The previous prime is 42030310013. The next prime is 42030310027. The reversal of 42030310014 is 41001303024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030310013) by changing a digit.

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, 42397 + ... + 293015.

It is an arithmetic number, because the mean of its divisors is an integer number (1192449960).

Almost surely, 242030310014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030310014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57237598080).

42030310014 is an abundant number, since it is smaller than the sum of its proper divisors (72444886146).

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

42030310014 is a wasteful number, since it uses less digits than its factorization.

42030310014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250667 (or 250642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42030310014 its reverse (41001303024), we get a palindrome (83031613038).

The spelling of 42030310014 in words is "forty-two billion, thirty million, three hundred ten thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1331 1386 1694 2178 2541 2662 3993 5082 7623 7986 9317 11979 15246 18634 23958 27951 55902 83853 167706 250619 501238 751857 1503714 1754333 2255571 2756809 3508666 4511142 5262999 5513618 8270427 10525998 15788997 16540854 19297663 24811281 30324899 31577994 38595326 49622562 57892989 60649798 90974697 115785978 173678967 181949394 212274293 272924091 333573889 347357934 424548586 545848182 636822879 667147778 1000721667 1273645758 1910468637 2001443334 2335017223 3002165001 3820937274 4670034446 6004330002 7005051669 14010103338 21015155007 42030310014