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420440211129 = 34711326388013
BaseRepresentation
bin1100001111001000011…
…00000111111010111001
31111012020012102200101110
412013210030013322321
523342030143224004
6521051512510533
742242620554201
oct6074414077271
91435205380343
10420440211129
111523425a1574
12695986ab449
1330855296223
14164c6b19401
15ae0b11c589
hex61e4307eb9

420440211129 has 16 divisors (see below), whose sum is σ = 577580850432. Its totient is φ = 271902075648.

The previous prime is 420440211101. The next prime is 420440211151. The reversal of 420440211129 is 921112044024.

420440211129 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 420440211129 - 231 = 418292727481 is a prime.

It is a super-2 number, since 2×4204402111292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420440211096 and 420440211105.

It is not an unprimeable number, because it can be changed into a prime (420440211929) 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, 13178074 + ... + 13209939.

It is an arithmetic number, because the mean of its divisors is an integer number (36098803152).

Almost surely, 2420440211129 is an apocalyptic number.

It is an amenable number.

420440211129 is a deficient number, since it is larger than the sum of its proper divisors (157140639303).

420440211129 is a wasteful number, since it uses less digits than its factorization.

420440211129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26388176.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 420440211129 in words is "four hundred twenty billion, four hundred forty million, two hundred eleven thousand, one hundred twenty-nine".

Divisors: 1 3 47 113 141 339 5311 15933 26388013 79164039 1240236611 2981845469 3720709833 8945536407 140146737043 420440211129