Search a number
-
+
42434042320 = 2451393816011
BaseRepresentation
bin100111100001010001…
…000001100111010000
311001112022010200212001
4213201101001213100
51143401103323240
631254404443344
73031361260045
oct474121014720
9131468120761
1042434042320
1116aa5a0206a
1282830a9554
13400342a0a7
1420a796d1cc
15118553489a
hex9e14419d0

42434042320 has 40 divisors (see below), whose sum is σ = 99368952480. Its totient is φ = 16851500160.

The previous prime is 42434042317. The next prime is 42434042423. The reversal of 42434042320 is 2324043424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1896886 + ... + 1919125.

It is an arithmetic number, because the mean of its divisors is an integer number (2484223812).

Almost surely, 242434042320 is an apocalyptic number.

42434042320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434042320 is an abundant number, since it is smaller than the sum of its proper divisors (56934910160).

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

42434042320 is a wasteful number, since it uses less digits than its factorization.

42434042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816163 (or 3816157 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42434042320 its reverse (2324043424), we get a palindrome (44758085744).

The spelling of 42434042320 in words is "forty-two billion, four hundred thirty-four million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 3816011 7632022 15264044 19080055 30528088 38160110 61056176 76320220 152640440 305280880 530425529 1060851058 2121702116 2652127645 4243404232 5304255290 8486808464 10608510580 21217021160 42434042320