Search a number
-
+
4143442644 = 22321122945691
BaseRepresentation
bin1111011011110111…
…1110101011010100
3101200202121200202200
43312331332223110
531441210131034
61523052204500
7204451452465
oct36675765324
911622550680
104143442644
111836957870
12977769730
13510565a13
142b4412d6c
15193b5ba99
hexf6f7ead4

4143442644 has 72 divisors (see below), whose sum is σ = 11476002720. Its totient is φ = 1250078400.

The previous prime is 4143442643. The next prime is 4143442703. The reversal of 4143442644 is 4462443414.

4143442644 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 4 + 4 + 2 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4143442599 and 4143442608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143442643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67839 + ... + 113529.

Almost surely, 24143442644 is an apocalyptic number.

4143442644 is a gapful number since it is divisible by the number (44) 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 4143442644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738001360).

4143442644 is an abundant number, since it is smaller than the sum of its proper divisors (7332560076).

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

4143442644 is a wasteful number, since it uses less digits than its factorization.

4143442644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45941 (or 45936 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 4143442644 is about 64369.5785600621. The cubic root of 4143442644 is about 1606.1537295196.

The spelling of 4143442644 in words is "four billion, one hundred forty-three million, four hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 229 396 458 687 916 1374 2061 2519 2748 4122 5038 7557 8244 10076 15114 22671 30228 45342 45691 90684 91382 137073 182764 274146 411219 502601 548292 822438 1005202 1507803 1644876 2010404 3015606 4523409 6031212 9046818 10463239 18093636 20926478 31389717 41852956 62779434 94169151 115095629 125558868 188338302 230191258 345286887 376676604 460382516 690573774 1035860661 1381147548 2071721322 4143442644