Search a number
-
+
42413400200 = 2352316840871
BaseRepresentation
bin100111100000000010…
…010010000010001000
311001110212021222012002
4213200002102002020
51143330312301300
631252350210132
73031020644663
oct474002220210
9131425258162
1042413400200
1116a95293366
1282781b3948
133ccc080612
1420a4d186da
1511838085d5
hex9e0092088

42413400200 has 48 divisors (see below), whose sum is σ = 101792175360. Its totient is φ = 16418088000.

The previous prime is 42413400179. The next prime is 42413400203. The reversal of 42413400200 is 200431424.

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

It is not an unprimeable number, because it can be changed into a prime (42413400203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3414236 + ... + 3426635.

It is an arithmetic number, because the mean of its divisors is an integer number (2120670320).

Almost surely, 242413400200 is an apocalyptic number.

42413400200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42413400200 is an abundant number, since it is smaller than the sum of its proper divisors (59378775160).

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

42413400200 is a wasteful number, since it uses less digits than its factorization.

42413400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840918 (or 6840909 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42413400200 its reverse (200431424), we get a palindrome (42613831624).

The spelling of 42413400200 in words is "forty-two billion, four hundred thirteen million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 6840871 13681742 27363484 34204355 54726968 68408710 136817420 171021775 212067001 273634840 342043550 424134002 684087100 848268004 1060335005 1368174200 1696536008 2120670010 4241340020 5301675025 8482680040 10603350050 21206700100 42413400200