Search a number
-
+
4143541000 = 235314927809
BaseRepresentation
bin1111011011111001…
…0110101100001000
3101200202210200200111
43312332112230020
531441221303000
61523054244104
7204452342314
oct36676265410
911622720614
104143541000
111836a14755
129777b6634
1351059b711
142b443ab44
15193b7acba
hexf6f96b08

4143541000 has 64 divisors (see below), whose sum is σ = 9761310000. Its totient is φ = 1646233600.

The previous prime is 4143540983. The next prime is 4143541001. The reversal of 4143541000 is 1453414.

It can be written as a sum of positive squares in 8 ways, for example, as 19589476 + 4123951524 = 4426^2 + 64218^2 .

It is not an unprimeable number, because it can be changed into a prime (4143541001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135096 + ... + 162904.

Almost surely, 24143541000 is an apocalyptic number.

4143541000 is a gapful number since it is divisible by the number (40) 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 4143541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880655000).

4143541000 is an abundant number, since it is smaller than the sum of its proper divisors (5617769000).

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

4143541000 is a wasteful number, since it uses less digits than its factorization.

4143541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27979 (or 27965 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4143541000 is about 64370.3425499663. The cubic root of 4143541000 is about 1606.1664382436.

Adding to 4143541000 its reverse (1453414), we get a palindrome (4144994414).

The spelling of 4143541000 in words is "four billion, one hundred forty-three million, five hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 14900 18625 27809 29800 37250 55618 74500 111236 139045 149000 222472 278090 556180 695225 1112360 1390450 2780900 3476125 4143541 5561800 6952250 8287082 13904500 16574164 20717705 27809000 33148328 41435410 82870820 103588525 165741640 207177050 414354100 517942625 828708200 1035885250 2071770500 4143541000