Search a number
-
+
4040404040 = 235412719091
BaseRepresentation
bin1111000011010011…
…1010110001001000
3101102120201210101002
43300310322301020
531233320412130
61504531514132
7202060603421
oct36064726110
911376653332
104040404040
1117937803a2
12949158948
134c50ca12a
142a4870648
15189aa6b45
hexf0d3ac48

4040404040 has 64 divisors (see below), whose sum is σ = 9348030720. Its totient is φ = 1570752000.

The previous prime is 4040404031. The next prime is 4040404063. The reversal of 4040404040 is 404040404.

It is a Harshad number since it is a multiple of its sum of digits (20).

4040404040 is an undulating number in base 10.

4040404040 is a modest number, since divided by 404040 gives 4040 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439895 + ... + 448985.

It is an arithmetic number, because the mean of its divisors is an integer number (146062980).

Almost surely, 24040404040 is an apocalyptic number.

4040404040 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 4040404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674015360).

4040404040 is an abundant number, since it is smaller than the sum of its proper divisors (5307626680).

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

4040404040 is a wasteful number, since it uses less digits than its factorization.

4040404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4040404040 is about 63564.1726131946. The cubic root of 4040404040 is about 1592.7279410059.

4040404040 divided by its sum of digits (20) gives a palindrome (202020202).

Adding to 4040404040 its reverse (404040404), we get a palindrome (4444444444).

The spelling of 4040404040 in words is "four billion, forty million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 271 328 410 542 820 1084 1355 1640 2168 2710 5420 9091 10840 11111 18182 22222 36364 44444 45455 55555 72728 88888 90910 111110 181820 222220 363640 372731 444440 745462 1490924 1863655 2463661 2981848 3727310 4927322 7454620 9854644 12318305 14909240 19709288 24636610 49273220 98546440 101010101 202020202 404040404 505050505 808080808 1010101010 2020202020 4040404040