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4047146440 = 235101178661
BaseRepresentation
bin1111000100111010…
…1000110111001000
3101110001102100012121
43301032220313020
531242032141230
61505332221024
7202202114521
oct36116506710
911401370177
104047146440
111797566027
1294b46a774
134c661b00c
142a5707848
1518a48977a
hexf13a8dc8

4047146440 has 16 divisors (see below), whose sum is σ = 9106079580. Its totient is φ = 1618858560.

The previous prime is 4047146437. The next prime is 4047146489. The reversal of 4047146440 is 446417404.

4047146440 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 3500615556 + 546530884 = 59166^2 + 23378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4047146396 and 4047146405.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50589291 + ... + 50589370.

Almost surely, 24047146440 is an apocalyptic number.

4047146440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4047146440 is an abundant number, since it is smaller than the sum of its proper divisors (5058933140).

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

4047146440 is a wasteful number, since it uses less digits than its factorization.

4047146440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101178672 (or 101178668 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 4047146440 is about 63617.1866715277. The cubic root of 4047146440 is about 1593.6134003852.

The spelling of 4047146440 in words is "four billion, forty-seven million, one hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101178661 202357322 404714644 505893305 809429288 1011786610 2023573220 4047146440