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2434030060014 = 2337139370112517
BaseRepresentation
bin100011011010110111011…
…111110100000111101110
322121200122201222101101000
4203122313133310013232
5304334343143410024
65102102235301130
7340565351100030
oct43326737640756
98550581871330
102434030060014
118592a2571a23
123338938aa7a6
131486b31825a7
1485b443d7c50
15434ac211cc9
hex236b77f41ee

2434030060014 has 128 divisors (see below), whose sum is σ = 6228315878400. Its totient is φ = 690192316800.

The previous prime is 2434030060009. The next prime is 2434030060043. The reversal of 2434030060014 is 4100600304342.

2434030060014 is a `hidden beast` number, since 2 + 4 + 3 + 40 + 3 + 0 + 0 + 600 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2434030060014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194451684 + ... + 194464200.

It is an arithmetic number, because the mean of its divisors is an integer number (48658717800).

Almost surely, 22434030060014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434030060014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114157939200).

2434030060014 is an abundant number, since it is smaller than the sum of its proper divisors (3794285818386).

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

2434030060014 is a wasteful number, since it uses less digits than its factorization.

2434030060014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16375 (or 16369 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2434030060014 its reverse (4100600304342), we get a palindrome (6534630364356).

The spelling of 2434030060014 in words is "two trillion, four hundred thirty-four billion, thirty million, sixty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 139 189 278 378 417 834 973 1251 1946 2502 2919 3701 3753 5838 7402 7506 8757 11103 12517 17514 22206 25034 25907 26271 33309 37551 51814 52542 66618 75102 77721 87619 99927 112653 155442 175238 199854 225306 233163 262857 337959 466326 514439 525714 675918 699489 788571 1028878 1398978 1543317 1577142 1739863 2365713 3086634 3479726 3601073 4629951 4731426 5219589 7202146 9259902 10439178 10803219 12179041 13889853 15658767 21606438 24358082 27779706 31317534 32409657 36537123 46325417 46976301 64819314 73074246 92650834 93952602 97228971 109611369 138976251 194457942 219222738 277952502 324277919 328834107 416928753 648555838 657668214 833857506 972833757 1250786259 1945667514 2501572518 2918501271 5837002542 6439232963 8755503813 12878465926 17511007626 19317698889 38635397778 45074630741 57953096667 90149261482 115906193334 135223892223 173859290001 270447784446 347718580002 405671676669 811343353338 1217015030007 2434030060014