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20414114113224 = 23313312110640417
BaseRepresentation
bin1001010010001000010000…
…00001010010011011001000
32200021120101201020010010210
410221010020001102123020
510133431101203110344
6111230040424441120
74204604530634016
oct451041001223310
980246351203123
1020414114113224
116560639249617
1223584856191a0
13b51072a76560
14508096b1d8b6
15256040903db9
hex1291080526c8

20414114113224 has 64 divisors (see below), whose sum is σ = 56734014435840. Its totient is φ = 6078644398080.

The previous prime is 20414114113213. The next prime is 20414114113243. The reversal of 20414114113224 is 42231141141402.

It is a junction number, because it is equal to n+sod(n) for n = 20414114113191 and 20414114113200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055310537 + ... + 1055329880.

It is an arithmetic number, because the mean of its divisors is an integer number (886468975560).

Almost surely, 220414114113224 is an apocalyptic number.

20414114113224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20414114113224 is an abundant number, since it is smaller than the sum of its proper divisors (36319900322616).

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

20414114113224 is a wasteful number, since it uses less digits than its factorization.

20414114113224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110640470 (or 2110640466 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 20414114113224 its reverse (42231141141402), we get a palindrome (62645255254626).

The spelling of 20414114113224 in words is "twenty trillion, four hundred fourteen billion, one hundred fourteen million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 2110640417 4221280834 6331921251 8442561668 12663842502 16885123336 25327685004 27438325421 50655370008 54876650842 65429852927 82314976263 109753301684 130859705854 164629952526 196289558781 219506603368 261719411708 329259905052 392579117562 523438823416 658519810104 785158235124 850588088051 1570316470248 1701176176102 2551764264153 3402352352204 5103528528306 6804704704408 10207057056612 20414114113224