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4041408064 = 26148942409
BaseRepresentation
bin1111000011100010…
…1111111001000000
3101102122121210122011
43300320233321000
531234100024224
61505005222304
7202102254541
oct36070577100
911378553564
104041408064
1117942a6771
12949561994
134c538c125
142a4a524c8
15189c04394
hexf0e2fe40

4041408064 has 28 divisors (see below), whose sum is σ = 8025244300. Its totient is φ = 2019299328.

The previous prime is 4041408061. The next prime is 4041408101. The reversal of 4041408064 is 4608041404.

4041408064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1798438464 + 2242969600 = 42408^2 + 47360^2 .

It is not an unprimeable number, because it can be changed into a prime (4041408061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74092 + ... + 116500.

Almost surely, 24041408064 is an apocalyptic number.

It is an amenable number.

4041408064 is a deficient number, since it is larger than the sum of its proper divisors (3983836236).

4041408064 is a wasteful number, since it uses less digits than its factorization.

4041408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43910 (or 43900 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 4041408064 is about 63572.0698420305. The cubic root of 4041408064 is about 1592.8598588885.

Adding to 4041408064 its reverse (4608041404), we get a palindrome (8649449468).

The spelling of 4041408064 in words is "four billion, forty-one million, four hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 1489 2978 5956 11912 23824 42409 47648 84818 95296 169636 339272 678544 1357088 2714176 63147001 126294002 252588004 505176008 1010352016 2020704032 4041408064