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4131041344 = 261711333601
BaseRepresentation
bin1111011000111010…
…1011000001000000
3101122220021122101021
43312032223001000
531430021310334
61521530315224
7204241162213
oct36616530100
911586248337
104131041344
11182a957561
12973588b14
1350ab13181
142b290577a
15192a0c3b4
hexf63ab040

4131041344 has 56 divisors (see below), whose sum is σ = 8756815608. Its totient is φ = 1926758400.

The previous prime is 4131041333. The next prime is 4131041353. The reversal of 4131041344 is 4431401314.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 4055142400 = 8712^2 + 63680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106144 + ... + 139744.

Almost surely, 24131041344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378407804).

4131041344 is an abundant number, since it is smaller than the sum of its proper divisors (4625774264).

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

4131041344 is a wasteful number, since it uses less digits than its factorization.

4131041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33743 (or 33733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4131041344 is about 64273.1774848576. The cubic root of 4131041344 is about 1604.5497252372.

Adding to 4131041344 its reverse (4431401314), we get a palindrome (8562442658).

The spelling of 4131041344 in words is "four billion, one hundred thirty-one million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 136 226 272 452 544 904 1088 1808 1921 3616 3842 7232 7684 15368 30736 33601 61472 67202 122944 134404 268808 537616 571217 1075232 1142434 2150464 2284868 3796913 4569736 7593826 9139472 15187652 18278944 30375304 36557888 60750608 64547521 121501216 129095042 243002432 258190084 516380168 1032760336 2065520672 4131041344