Search a number
-
+
40431112000 = 26535053889
BaseRepresentation
bin100101101001111000…
…011100111101000000
310212100201021021222121
4211221320130331000
51130300331041000
630323535014024
72630630532046
oct455170347500
9125321237877
1040431112000
1116168343954
127a0436a314
133a74498016
141d57950396
1510b9793b1a
hex969e1cf40

40431112000 has 56 divisors (see below), whose sum is σ = 100127668680. Its totient is φ = 16172441600.

The previous prime is 40431111991. The next prime is 40431112021. The reversal of 40431112000 is 21113404.

It can be written as a sum of positive squares in 4 ways, for example, as 165071104 + 40266040896 = 12848^2 + 200664^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2518945 + ... + 2534944.

Almost surely, 240431112000 is an apocalyptic number.

40431112000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431112000 is an abundant number, since it is smaller than the sum of its proper divisors (59696556680).

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

40431112000 is an equidigital number, since it uses as much as digits as its factorization.

40431112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053916 (or 5053896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40431112000 its reverse (21113404), we get a palindrome (40452225404).

The spelling of 40431112000 in words is "forty billion, four hundred thirty-one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 5053889 10107778 20215556 25269445 40431112 50538890 80862224 101077780 126347225 161724448 202155560 252694450 323448896 404311120 505388900 631736125 808622240 1010777800 1263472250 1617244480 2021555600 2526944500 4043111200 5053889000 8086222400 10107778000 20215556000 40431112000