Search a number
-
+
42043044100 = 22524183123547
BaseRepresentation
bin100111001001111101…
…011111000100000100
311000112001101221010111
4213021331133010010
51142101004402400
631151520202404
73015602656411
oct471175370404
9130461357114
1042043044100
1116915225342
128194169404
133c7041abb5
14206ba6d108
15116104d3ba
hex9c9f5f104

42043044100 has 72 divisors (see below), whose sum is σ = 94585383648. Its totient is φ = 16209235200.

The previous prime is 42043044079. The next prime is 42043044101. The reversal of 42043044100 is 144034024.

42043044100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42043044101) 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, 278527 + ... + 402073.

It is an arithmetic number, because the mean of its divisors is an integer number (1313685884).

Almost surely, 242043044100 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 42043044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47292691824).

42043044100 is an abundant number, since it is smaller than the sum of its proper divisors (52542339548).

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

42043044100 is a wasteful number, since it uses less digits than its factorization.

42043044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123685 (or 123678 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42043044100 its reverse (144034024), we get a palindrome (42187078124).

The spelling of 42043044100 in words is "forty-two billion, forty-three million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 83 100 164 166 205 332 410 415 820 830 1025 1660 2050 2075 3403 4100 4150 6806 8300 13612 17015 34030 68060 85075 123547 170150 247094 340300 494188 617735 1235470 2470940 3088675 5065427 6177350 10130854 10254401 12354700 20261708 20508802 25327135 41017604 50654270 51272005 101308540 102544010 126635675 205088020 253271350 256360025 420430441 506542700 512720050 840860882 1025440100 1681721764 2102152205 4204304410 8408608820 10510761025 21021522050 42043044100