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420434111134120 = 23514537233897301
BaseRepresentation
bin101111110011000011111000…
…1110110000111100110101000
32001010122002221002102010222011
41133212013301312013212220
5420101343024422242440
64050104433025205304
7154362235132504666
oct13746076166074650
92033562832363864
10420434111134120
11111a66118049a66
123b1a2b45190834
13150799c7197c45
1475b71960b5c36
1533916c93b09ea
hex17e61f1d879a8

420434111134120 has 32 divisors (see below), whose sum is σ = 946627800939720. Its totient is φ = 168057902073600.

The previous prime is 420434111134013. The next prime is 420434111134129. The reversal of 420434111134120 is 21431111434024.

It can be written as a sum of positive squares in 4 ways, for example, as 350160126304356 + 70273984829764 = 18712566^2 + 8382958^2 .

It is not an unprimeable number, because it can be changed into a prime (420434111134129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3616890531 + ... + 3617006770.

Almost surely, 2420434111134120 is an apocalyptic number.

420434111134120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420434111134120 is an abundant number, since it is smaller than the sum of its proper divisors (526193689805600).

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

420434111134120 is a wasteful number, since it uses less digits than its factorization.

420434111134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233898765 (or 7233898761 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 420434111134120 its reverse (21431111434024), we get a palindrome (441865222568144).

The spelling of 420434111134120 in words is "four hundred twenty trillion, four hundred thirty-four billion, one hundred eleven million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1453 2906 5812 7265 11624 14530 29060 58120 7233897301 14467794602 28935589204 36169486505 57871178408 72338973010 144677946020 289355892040 10510852778353 21021705556706 42043411113412 52554263891765 84086822226824 105108527783530 210217055567060 420434111134120