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4040400040 = 235311324791
BaseRepresentation
bin1111000011010011…
…1001110010101000
3101102120201120212221
43300310321302220
531233320300130
61504531443424
7202060555645
oct36064716250
911376646787
104040400040
111793778396
12949156574
134c50c8371
142a486cdcc
15189aa587a
hexf0d39ca8

4040400040 has 32 divisors (see below), whose sum is σ = 9120159360. Its totient is φ = 1610958400.

The previous prime is 4040400019. The next prime is 4040400059. The reversal of 4040400040 is 400040404.

4040400040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4040399987 and 4040400023.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149956 + ... + 174835.

It is an arithmetic number, because the mean of its divisors is an integer number (285004980).

Almost surely, 24040400040 is an apocalyptic number.

4040400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040400040 is an abundant number, since it is smaller than the sum of its proper divisors (5079759320).

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

4040400040 is a wasteful number, since it uses less digits than its factorization.

4040400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325113 (or 325109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4040400040 is about 63564.1411489214. The cubic root of 4040400040 is about 1592.7274154055.

Adding to 4040400040 its reverse (400040404), we get a palindrome (4440440444).

The spelling of 4040400040 in words is "four billion, forty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 311 622 1244 1555 2488 3110 6220 12440 324791 649582 1299164 1623955 2598328 3247910 6495820 12991640 101010001 202020002 404040004 505050005 808080008 1010100010 2020200020 4040400040