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124111434420 = 22325689507969
BaseRepresentation
bin111001110010110011…
…1100011001010110100
3102212100112120010020100
41303211213203022310
54013140011400140
6133003242434100
711652411533451
oct1634547431264
9385315503210
10124111434420
11486a973a706
1220078802930
13b91bc23cbc
1460153c6828
153365ddd530
hex1ce59e32b4

124111434420 has 36 divisors (see below), whose sum is σ = 376471351620. Its totient is φ = 33096382464.

The previous prime is 124111434407. The next prime is 124111434431. The reversal of 124111434420 is 24434111421.

124111434420 is a `hidden beast` number, since 124 + 1 + 114 + 3 + 4 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17425584036 + 106685850384 = 132006^2 + 326628^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344753805 + ... + 344754164.

It is an arithmetic number, because the mean of its divisors is an integer number (10457537545).

Almost surely, 2124111434420 is an apocalyptic number.

124111434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124111434420 is an abundant number, since it is smaller than the sum of its proper divisors (252359917200).

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

124111434420 is a wasteful number, since it uses less digits than its factorization.

124111434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689507984 (or 689507979 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 124111434420 its reverse (24434111421), we get a palindrome (148545545841).

The spelling of 124111434420 in words is "one hundred twenty-four billion, one hundred eleven million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 689507969 1379015938 2068523907 2758031876 3447539845 4137047814 6205571721 6895079690 8274095628 10342619535 12411143442 13790159380 20685239070 24822286884 31027858605 41370478140 62055717210 124111434420