Search a number
-
+
4431142100 = 2252711575473
BaseRepresentation
bin1000010000001110…
…11101110011010100
3102102210222100020002
410020013131303110
533033333021400
62011410430432
7214544041430
oct41007356324
912383870202
104431142100
11197429a710
12a37b92418
13558047a98
143007039c0
151ae03aed5
hex1081ddcd4

4431142100 has 72 divisors (see below), whose sum is σ = 11988274368. Its totient is φ = 1381132800.

The previous prime is 4431142097. The next prime is 4431142193. The reversal of 4431142100 is 12411344.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280037 + ... + 295436.

Almost surely, 24431142100 is an apocalyptic number.

It is an amenable number.

4431142100 is an abundant number, since it is smaller than the sum of its proper divisors (7557132268).

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

4431142100 is a wasteful number, since it uses less digits than its factorization.

4431142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575505 (or 575498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4431142100 is about 66566.8243196264. The cubic root of 4431142100 is about 1642.4994235283.

Adding to 4431142100 its reverse (12411344), we get a palindrome (4443553444).

The spelling of 4431142100 in words is "four billion, four hundred thirty-one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 575473 1150946 2301892 2877365 4028311 5754730 6330203 8056622 11509460 12660406 14386825 16113244 20141555 25320812 28773650 31651015 40283110 44311421 57547300 63302030 80566220 88622842 100707775 126604060 158255075 177245684 201415550 221557105 316510150 402831100 443114210 633020300 886228420 1107785525 2215571050 4431142100