Search a number
-
+
40444432434 = 2337106995853
BaseRepresentation
bin100101101010101011…
…010001000000110010
310212101122100001012000
4211222223101000302
51130312233314214
630325132314430
72631152001120
oct455253210062
9125348301160
1040444432434
111617491177a
127a08912a16
133a77180033
141d5961a910
1510baa25809
hex96aad1032

40444432434 has 32 divisors (see below), whose sum is σ = 102716019840. Its totient is φ = 11555552016.

The previous prime is 40444432421. The next prime is 40444432507. The reversal of 40444432434 is 43423444404.

40444432434 is a `hidden beast` number, since 404 + 4 + 4 + 4 + 3 + 243 + 4 = 666.

It is a super-2 number, since 2×404444324342 (a number of 22 digits) contains 22 as substring.

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, 53497549 + ... + 53498304.

It is an arithmetic number, because the mean of its divisors is an integer number (3209875620).

Almost surely, 240444432434 is an apocalyptic number.

40444432434 is an abundant number, since it is smaller than the sum of its proper divisors (62271587406).

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

40444432434 is a wasteful number, since it uses less digits than its factorization.

40444432434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106995871 (or 106995865 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 40444432434 its reverse (43423444404), we get a palindrome (83867876838).

It can be divided in two parts, 40444 and 432434, that added together give a triangular number (472878 = T972).

The spelling of 40444432434 in words is "forty billion, four hundred forty-four million, four hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 106995853 213991706 320987559 641975118 748970971 962962677 1497941942 1925925354 2246912913 2888888031 4493825826 5777776062 6740738739 13481477478 20222216217 40444432434