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4046104128 = 2631129312131
BaseRepresentation
bin1111000100101010…
…1010011001000000
3101102222110101102110
43301022222121000
531241300313003
61505254015320
7202160213643
oct36112523100
911388411373
104046104128
111796a13a10
1294b047540
134c6344771
142a5515a5a
1518a330a03
hexf12aa640

4046104128 has 224 divisors, whose sum is σ = 12476805120. Its totient is φ = 1145088000.

The previous prime is 4046104123. The next prime is 4046104189. The reversal of 4046104128 is 8214016404.

It is a super-2 number, since 2×40461041282 = 32741917229237280768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4046104095 and 4046104104.

It is not an unprimeable number, because it can be changed into a prime (4046104123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1897623 + ... + 1899753.

Almost surely, 24046104128 is an apocalyptic number.

4046104128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4046104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238402560).

4046104128 is an abundant number, since it is smaller than the sum of its proper divisors (8430700992).

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

4046104128 is a wasteful number, since it uses less digits than its factorization.

4046104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4046104128 is about 63608.9940810260. The cubic root of 4046104128 is about 1593.4765809404.

The spelling of 4046104128 in words is "four billion, forty-six million, one hundred four thousand, one hundred twenty-eight".