Search a number
-
+
40431311400 = 23352304122159
BaseRepresentation
bin100101101001111001…
…001101101000101000
310212100201122102111210
4211221321031220220
51130300403431100
630323543153120
72630632322304
oct455171155050
9125321572453
1040431311400
111616846a747
127a044457a0
133a745379cc
141d579a2d04
1510b97d2c50
hex969e4da28

40431311400 has 96 divisors (see below), whose sum is σ = 125383939200. Its totient is φ = 10777651200.

The previous prime is 40431311377. The next prime is 40431311407. The reversal of 40431311400 is 411313404.

It is not an unprimeable number, because it can be changed into a prime (40431311407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1813521 + ... + 1835679.

It is an arithmetic number, because the mean of its divisors is an integer number (1306082700).

Almost surely, 240431311400 is an apocalyptic number.

40431311400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431311400 is an abundant number, since it is smaller than the sum of its proper divisors (84952627800).

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

40431311400 is a wasteful number, since it uses less digits than its factorization.

40431311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25219 (or 25210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40431311400 its reverse (411313404), we get a palindrome (40842624804).

The spelling of 40431311400 in words is "forty billion, four hundred thirty-one million, three hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3041 6082 9123 12164 15205 18246 22159 24328 30410 36492 44318 45615 60820 66477 72984 76025 88636 91230 110795 121640 132954 152050 177272 182460 221590 228075 265908 304100 332385 364920 443180 456150 531816 553975 608200 664770 886360 912300 1107950 1329540 1661925 1824600 2215900 2659080 3323850 4431800 6647700 13295400 67385519 134771038 202156557 269542076 336927595 404313114 539084152 673855190 808626228 1010782785 1347710380 1617252456 1684637975 2021565570 2695420760 3369275950 4043131140 5053913925 6738551900 8086262280 10107827850 13477103800 20215655700 40431311400