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4140368080 = 245371398773
BaseRepresentation
bin1111011011001001…
…0000000011010000
3101200112211111020221
43312302100003100
531434413234310
61522502242424
7204413355652
oct36662200320
911615744227
104140368080
111835147902
12976726414
1350ca2a454
142b3c526d2
15193750ada
hexf6c900d0

4140368080 has 40 divisors (see below), whose sum is σ = 9886534632. Its totient is φ = 1611385344.

The previous prime is 4140368059. The next prime is 4140368093. The reversal of 4140368080 is 808630414.

It can be written as a sum of positive squares in 4 ways, for example, as 1164447376 + 2975920704 = 34124^2 + 54552^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696427 + ... + 702346.

Almost surely, 24140368080 is an apocalyptic number.

4140368080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140368080 is an abundant number, since it is smaller than the sum of its proper divisors (5746166552).

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

4140368080 is a wasteful number, since it uses less digits than its factorization.

4140368080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398823 (or 1398817 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 4140368080 is about 64345.6920080902. The cubic root of 4140368080 is about 1605.7563591200.

Adding to 4140368080 its reverse (808630414), we get a palindrome (4948998494).

The spelling of 4140368080 in words is "four billion, one hundred forty million, three hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 1398773 2797546 5595092 6993865 11190184 13987730 22380368 27975460 51754601 55950920 103509202 111901840 207018404 258773005 414036808 517546010 828073616 1035092020 2070184040 4140368080