Search a number
-
+
40438683404 = 22710149129123
BaseRepresentation
bin100101101010010101…
…010101011100001100
310212101020111221222222
4211222111111130030
51130304300332104
630324405154512
72631052065110
oct455225253414
9125336457888
1040438683404
1116171645409
127a069bba38
133a75c19342
141d58961740
1510ba28c1be
hex96a55570c

40438683404 has 48 divisors (see below), whose sum is σ = 81847293696. Its totient is φ = 17123736000.

The previous prime is 40438683379. The next prime is 40438683407.

40438683404 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40438683407) 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 15 ways as a sum of consecutive naturals, for example, 1373987 + ... + 1403109.

It is an arithmetic number, because the mean of its divisors is an integer number (1705151952).

Almost surely, 240438683404 is an apocalyptic number.

It is an amenable number.

40438683404 is an abundant number, since it is smaller than the sum of its proper divisors (41408610292).

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

40438683404 is a wasteful number, since it uses less digits than its factorization.

40438683404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29726 (or 29724 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The spelling of 40438683404 in words is "forty billion, four hundred thirty-eight million, six hundred eighty-three thousand, four hundred four".

Divisors: 1 2 4 7 14 28 101 202 404 491 707 982 1414 1964 2828 3437 6874 13748 29123 49591 58246 99182 116492 198364 203861 347137 407722 694274 815444 1388548 2941423 5882846 11765692 14299393 20589961 28598786 41179922 57197572 82359844 100095751 200191502 400383004 1444238693 2888477386 5776954772 10109670851 20219341702 40438683404