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4040401040 = 245133885001
BaseRepresentation
bin1111000011010011…
…1010000010010000
3101102120201122020222
43300310322002100
531233320313130
61504531452212
7202060561604
oct36064720220
911376648228
104040401040
111793779115
12949157068
134c50c8960
142a486d504
15189aa5ce5
hexf0d3a090

4040401040 has 40 divisors (see below), whose sum is σ = 10116545208. Its totient is φ = 1491840000.

The previous prime is 4040401037. The next prime is 4040401051. The reversal of 4040401040 is 401040404.

It can be written as a sum of positive squares in 4 ways, for example, as 196897024 + 3843504016 = 14032^2 + 61996^2 .

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

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, 1941461 + ... + 1943540.

Almost surely, 24040401040 is an apocalyptic number.

4040401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040401040 is an abundant number, since it is smaller than the sum of its proper divisors (6076144168).

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

4040401040 is a wasteful number, since it uses less digits than its factorization.

4040401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885027 (or 3885021 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4040401040 is about 63564.1490149911. The cubic root of 4040401040 is about 1592.7275468057.

Adding to 4040401040 its reverse (401040404), we get a palindrome (4441441444).

The spelling of 4040401040 in words is "four billion, forty million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3885001 7770002 15540004 19425005 31080008 38850010 50505013 62160016 77700020 101010026 155400040 202020052 252525065 310800080 404040104 505050130 808080208 1010100260 2020200520 4040401040