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14113120142420 = 22513510011064317
BaseRepresentation
bin1100110101011111011110…
…0000110100010001010100
31211222012102121102120212222
43031113313200310101110
53322212132224024140
650003251120201512
72654432162610125
oct315276740642124
954865377376788
1014113120142420
1145513824349a2
1216bb273469298
137b4b279ac070
1436b115bb004c
151971abdbc5b5
hexcd5f7834454

14113120142420 has 48 divisors (see below), whose sum is σ = 31918019821968. Its totient is φ = 5210891136000.

The previous prime is 14113120142371. The next prime is 14113120142423. The reversal of 14113120142420 is 2424102131141.

14113120142420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 669487241284 + 13443632901136 = 818222^2 + 3666556^2 .

It is a super-2 number, since 2×141131201424202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14113120142420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113120142423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12728102 + ... + 13792418.

It is an arithmetic number, because the mean of its divisors is an integer number (664958746291).

Almost surely, 214113120142420 is an apocalyptic number.

14113120142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14113120142420 is an abundant number, since it is smaller than the sum of its proper divisors (17804899679548).

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

14113120142420 is a wasteful number, since it uses less digits than its factorization.

14113120142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115340 (or 1115338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 14113120142420 its reverse (2424102131141), we get a palindrome (16537222273561).

The spelling of 14113120142420 in words is "fourteen trillion, one hundred thirteen billion, one hundred twenty million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 51001 102002 204004 255005 510010 663013 1020020 1064317 1326026 2128634 2652052 3315065 4257268 5321585 6630130 10643170 13260260 13836121 21286340 27672242 55344484 69180605 138361210 276722420 54281231317 108562462634 217124925268 271406156585 542812313170 705656007121 1085624626340 1411312014242 2822624028484 3528280035605 7056560071210 14113120142420