Search a number
-
+
5040334404 = 2233740916301
BaseRepresentation
bin1001011000110110…
…10110011001000100
3111000021021111222000
410230123112121010
540310311200104
62152051505300
7235622064330
oct45433263104
914007244860
105040334404
112157156926
12b87bb8230
136243116c1
1435b5a07c0
151e7772639
hex12c6d6644

5040334404 has 96 divisors (see below), whose sum is σ = 14971756800. Its totient is φ = 1436486400.

The previous prime is 5040334399. The next prime is 5040334433. The reversal of 5040334404 is 4044330405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301054 + ... + 317354.

It is an arithmetic number, because the mean of its divisors is an integer number (155955800).

Almost surely, 25040334404 is an apocalyptic number.

5040334404 is a gapful number since it is divisible by the number (54) 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 5040334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485878400).

5040334404 is an abundant number, since it is smaller than the sum of its proper divisors (9931422396).

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

5040334404 is a wasteful number, since it uses less digits than its factorization.

5040334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5040334404 is about 70995.3125494916. The cubic root of 5040334404 is about 1714.5616951749.

Adding to 5040334404 its reverse (4044330405), we get a palindrome (9084664809).

The spelling of 5040334404 in words is "five billion, forty million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 409 756 818 1227 1636 2454 2863 3681 4908 5726 7362 8589 11043 11452 14724 16301 17178 22086 25767 32602 34356 44172 48903 51534 65204 77301 97806 103068 114107 146709 154602 195612 228214 293418 309204 342321 440127 456428 586836 684642 880254 1026963 1369284 1760508 2053926 3080889 4107852 6161778 6667109 12323556 13334218 20001327 26668436 40002654 46669763 60003981 80005308 93339526 120007962 140009289 180011943 186679052 240015924 280018578 360023886 420027867 560037156 720047772 840055734 1260083601 1680111468 2520167202 5040334404