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20000414114142 = 23711231882214767
BaseRepresentation
bin1001000110000101101011…
…00101000010000101011110
32121211000120020200200110120
410203002311211002011132
510110141322003123032
6110312021410015410
74132660622646510
oct443026545020536
977730506620416
1020000414114142
1164111453a3130
1222b026a277566
13b210530276a7
144d204d257bb0
1524a3cb3d662c
hex1230b594215e

20000414114142 has 64 divisors (see below), whose sum is σ = 52039473905664. Its totient is φ = 4969046982240.

The previous prime is 20000414114123. The next prime is 20000414114159. The reversal of 20000414114142 is 24141141400002.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 941096758 + ... + 941118009.

It is an arithmetic number, because the mean of its divisors is an integer number (813116779776).

Almost surely, 220000414114142 is an apocalyptic number.

20000414114142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20000414114142 is an abundant number, since it is smaller than the sum of its proper divisors (32039059791522).

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

20000414114142 is a wasteful number, since it uses less digits than its factorization.

20000414114142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882214813.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 20000414114142 its reverse (24141141400002), we get a palindrome (44141555514144).

The spelling of 20000414114142 in words is "twenty trillion, four hundred fourteen million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 5313 10626 1882214767 3764429534 5646644301 11293288602 13175503369 20704362437 26351006738 39526510107 41408724874 43290939641 62113087311 79053020214 86581879282 124226174622 129872818923 144930537059 259745637846 289861074118 303036577487 434791611177 476200336051 606073154974 869583222354 909109732461 952400672102 1428601008153 1818219464922 2857202016306 3333402352357 6666804704714 10000207057071 20000414114142