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4040141322 = 2372913992371
BaseRepresentation
bin1111000011001111…
…1010101000001010
3101102120020102222210
43300303322220022
531233234010242
61504522125550
7202055430450
oct36063725012
911376212883
104040141322
111793610a78
129490508b6
134c5037689
142a48029d0
15189a53d9c
hexf0cfaa0a

4040141322 has 64 divisors (see below), whose sum is σ = 9563904000. Its totient is φ = 1113255360.

The previous prime is 4040141267. The next prime is 4040141327. The reversal of 4040141322 is 2231410404.

4040141322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4040141327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1702797 + ... + 1705167.

It is an arithmetic number, because the mean of its divisors is an integer number (149436000).

Almost surely, 24040141322 is an apocalyptic number.

4040141322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040141322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781952000).

4040141322 is an abundant number, since it is smaller than the sum of its proper divisors (5523762678).

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

4040141322 is a wasteful number, since it uses less digits than its factorization.

4040141322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4040141322 is about 63562.1060223778. The cubic root of 4040141322 is about 1592.6934190980.

Adding to 4040141322 its reverse (2231410404), we get a palindrome (6271551726).

The spelling of 4040141322 in words is "four billion, forty million, one hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 1399 2371 2798 4197 4742 7113 8394 9793 14226 16597 19586 29379 33194 40571 49791 58758 68759 81142 99582 121713 137518 206277 243426 283997 412554 481313 567994 851991 962626 1443939 1703982 2887878 3317029 6634058 9951087 19902174 23219203 46438406 69657609 96193841 139315218 192387682 288581523 577163046 673356887 1346713774 2020070661 4040141322