Search a number
-
+
40430323233 = 3729637471
BaseRepresentation
bin100101101001110101…
…011100011000100001
310212100122210020000000
4211221311130120201
51130300130320413
630323510050213
72630621035326
oct455165343041
9125318706000
1040430323233
1116167955283
127a04049969
133a7427ccb1
141d577c6b4d
1510b968a073
hex969d5c621

40430323233 has 32 divisors (see below), whose sum is σ = 62727244800. Its totient is φ = 26024075280.

The previous prime is 40430323217. The next prime is 40430323249. The reversal of 40430323233 is 33232303404.

40430323233 is a `hidden beast` number, since 404 + 3 + 0 + 3 + 23 + 233 = 666.

It is an interprime number because it is at equal distance from previous prime (40430323217) and next prime (40430323249).

It is not a de Polignac number, because 40430323233 - 24 = 40430323217 is a prime.

It is a super-2 number, since 2×404303232332 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40430323197 and 40430323206.

It is not an unprimeable number, because it can be changed into a prime (40430325233) 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 31 ways as a sum of consecutive naturals, for example, 255313 + ... + 382158.

It is an arithmetic number, because the mean of its divisors is an integer number (1960226400).

Almost surely, 240430323233 is an apocalyptic number.

It is an amenable number.

40430323233 is a deficient number, since it is larger than the sum of its proper divisors (22296921567).

40430323233 is an frugal number, since it uses more digits than its factorization.

40430323233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637521 (or 637503 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 40430323233 its reverse (33232303404), we get a palindrome (73662626637).

The spelling of 40430323233 in words is "forty billion, four hundred thirty million, three hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 27 29 81 87 243 261 729 783 2187 2349 7047 21141 63423 637471 1912413 5737239 17211717 18486659 51635151 55459977 154905453 166379931 464716359 499139793 1394149077 1497419379 4492258137 13476774411 40430323233