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414202311420014 = 2133431827326437
BaseRepresentation
bin101111000101101101111110…
…1101000110010100001101110
32000022120100120020211001120102
41132023123331220302201232
5413242242313210420024
64024533525345551102
7153150062256103655
oct13613337550624156
92008510506731512
10414202311420014
1110aa83239623557
123a557224045492
1314a17158634000
14743d6dab5a19c
1532d454537b1ae
hex178b6fda3286e

414202311420014 has 64 divisors (see below), whose sum is σ = 674723868053760. Its totient is φ = 190696479367680.

The previous prime is 414202311419987. The next prime is 414202311420067. The reversal of 414202311420014 is 410024113202414.

It is a super-2 number, since 2×4142023114200142 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

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, 15667510004 + ... + 15667536440.

It is an arithmetic number, because the mean of its divisors is an integer number (10542560438340).

Almost surely, 2414202311420014 is an apocalyptic number.

414202311420014 is a deficient number, since it is larger than the sum of its proper divisors (260521556633746).

414202311420014 is a wasteful number, since it uses less digits than its factorization.

414202311420014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35182 (or 35156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 414202311420014 its reverse (410024113202414), we get a palindrome (824226424622428).

The spelling of 414202311420014 in words is "four hundred fourteen trillion, two hundred two billion, three hundred eleven million, four hundred twenty thousand, fourteen".

Divisors: 1 2 13 26 169 338 431 862 2197 4394 5603 8273 11206 16546 26437 52874 72839 107549 145678 215098 343681 687362 946907 1398137 1893814 2796274 3565663 4467853 7131326 8935706 11394347 18175781 22788694 36351562 46353619 58082089 92707238 116164178 148126511 218713301 296253022 437426602 602597047 1205194094 1925644643 2843272913 3851289286 5686545826 7833761611 15667523222 25033380359 36962547869 50066760718 73925095738 94265432731 188530865462 480513122297 961026244594 1225450625503 2450901251006 15930858131539 31861716263078 207101155710007 414202311420014