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4140420100 = 225241404201
BaseRepresentation
bin1111011011001001…
…1100110000000100
3101200112221010121121
43312302130300010
531434421420400
61522503323324
7204413663425
oct36662346004
911615833547
104140420100
1118351829a3
12976750544
1350ca4802b
142b3c6764c
1519376121a
hexf6c9cc04

4140420100 has 18 divisors (see below), whose sum is σ = 8984711834. Its totient is φ = 1656168000.

The previous prime is 4140420061. The next prime is 4140420127. The reversal of 4140420100 is 10240414.

It can be written as a sum of positive squares in 3 ways, for example, as 159314884 + 3981105216 = 12622^2 + 63096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20702001 + ... + 20702200.

Almost surely, 24140420100 is an apocalyptic number.

It is an amenable number.

4140420100 is an abundant number, since it is smaller than the sum of its proper divisors (4844291734).

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

4140420100 is a wasteful number, since it uses less digits than its factorization.

4140420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41404215 (or 41404208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4140420100 is about 64346.0962296859. The cubic root of 4140420100 is about 1605.7630840532.

Adding to 4140420100 its reverse (10240414), we get a palindrome (4150660514).

It can be divided in two parts, 41404 and 20100, that added together give a square (61504 = 2482).

The spelling of 4140420100 in words is "four billion, one hundred forty million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41404201 82808402 165616804 207021005 414042010 828084020 1035105025 2070210050 4140420100