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4040310040 = 235132597679
BaseRepresentation
bin1111000011010010…
…0011110100011000
3101102120120000102121
43300310203310120
531233304410130
61504525511024
7202060032364
oct36064436430
911376500377
104040310040
111793716808
12949112474
134c5096400
142a48482a4
15189a88d7a
hexf0d23d18

4040310040 has 48 divisors (see below), whose sum is σ = 9843789600. Its totient is φ = 1491804288.

The previous prime is 4040310031. The next prime is 4040310047. The reversal of 4040310040 is 400130404.

It is a super-3 number, since 3×40403100403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4040309996 and 4040310023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040310047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292080 + ... + 305599.

It is an arithmetic number, because the mean of its divisors is an integer number (205078950).

Almost surely, 24040310040 is an apocalyptic number.

4040310040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040310040 is an abundant number, since it is smaller than the sum of its proper divisors (5803479560).

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

4040310040 is a wasteful number, since it uses less digits than its factorization.

4040310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597716 (or 597699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4040310040 is about 63563.4331986560. The cubic root of 4040310040 is about 1592.7155893050.

Adding to 4040310040 its reverse (400130404), we get a palindrome (4440440444).

The spelling of 4040310040 in words is "four billion, forty million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 597679 1195358 2390716 2988395 4781432 5976790 7769827 11953580 15539654 23907160 31079308 38849135 62158616 77698270 101007751 155396540 202015502 310793080 404031004 505038755 808062008 1010077510 2020155020 4040310040