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4101134040 = 23325192572333
BaseRepresentation
bin1111010001110010…
…0101011011011000
3101120211000012021100
43310130211123120
531344342242130
61514541311400
7203426031003
oct36434453330
911524005240
104101134040
111814a8a783
12965565560
13504871443
142ac95c53a
151900a0c60
hexf47256d8

4101134040 has 192 divisors, whose sum is σ = 14090824800. Its totient is φ = 1031602176.

The previous prime is 4101134033. The next prime is 4101134041. The reversal of 4101134040 is 404311014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101134041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1756714 + ... + 1759046.

Almost surely, 24101134040 is an apocalyptic number.

4101134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045412400).

4101134040 is an abundant number, since it is smaller than the sum of its proper divisors (9989690760).

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

4101134040 is a wasteful number, since it uses less digits than its factorization.

4101134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4101134040 is about 64040.0971267221. The cubic root of 4101134040 is about 1600.6682156827.

Adding to 4101134040 its reverse (404311014), we get a palindrome (4505445054).

The spelling of 4101134040 in words is "four billion, one hundred one million, one hundred thirty-four thousand, forty".