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11114020424214 = 234439461338993
BaseRepresentation
bin1010000110111010111100…
…1111010100101000010110
31110100111020012012100220000
42201232233033110220112
52424043003212033324
635345413244552130
72224650533614221
oct241565717245026
943314205170800
1011114020424214
1135a547a873264
1212b5b7ab52646
13628080843ba6
142a5cc86a85b8
1514417b70d9c9
hexa1baf3d4a16

11114020424214 has 80 divisors (see below), whose sum is σ = 25014584216160. Its totient is φ = 3688205840640.

The previous prime is 11114020424167. The next prime is 11114020424237. The reversal of 11114020424214 is 41242402041111.

11114020424214 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 4 + 0 + 20 + 424 + 214 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32615902 + ... + 32954894.

It is an arithmetic number, because the mean of its divisors is an integer number (312682302702).

Almost surely, 211114020424214 is an apocalyptic number.

11114020424214 is an abundant number, since it is smaller than the sum of its proper divisors (13900563791946).

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

11114020424214 is a wasteful number, since it uses less digits than its factorization.

11114020424214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339907 (or 339898 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11114020424214 its reverse (41242402041111), we get a palindrome (52356422465325).

The spelling of 11114020424214 in words is "eleven trillion, one hundred fourteen billion, twenty million, four hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 439 461 878 922 1317 1383 2634 2766 3951 4149 7902 8298 11853 12447 23706 24894 35559 37341 71118 74682 202379 338993 404758 607137 677986 1016979 1214274 1821411 2033958 3050937 3642822 5464233 6101874 9152811 10928466 16392699 18305622 27458433 32785398 54916866 148817927 156275773 297635854 312551546 446453781 468827319 892907562 937654638 1339361343 1406481957 2678722686 2812963914 4018084029 4219445871 8036168058 8438891742 12054252087 12658337613 24108504174 25316675226 68605064347 137210128694 205815193041 411630386082 617445579123 1234891158246 1852336737369 3704673474738 5557010212107 11114020424214