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42413231400 = 2335270688719
BaseRepresentation
bin100111100000000001…
…101000110100101000
311001110211222101122020
4213200001220310220
51143330241401100
631252342424440
73031016342601
oct474001506450
9131424871566
1042413231400
1116a95188561
128278132120
133ccc021837
1420a4cb2da8
1511837c35a0
hex9e0068d28

42413231400 has 48 divisors (see below), whose sum is σ = 131481019200. Its totient is φ = 11310194880.

The previous prime is 42413231381. The next prime is 42413231407. The reversal of 42413231400 is 413231424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42413231407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35343760 + ... + 35344959.

It is an arithmetic number, because the mean of its divisors is an integer number (2739187900).

Almost surely, 242413231400 is an apocalyptic number.

42413231400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42413231400 is an abundant number, since it is smaller than the sum of its proper divisors (89067787800).

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

42413231400 is a wasteful number, since it uses less digits than its factorization.

42413231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70688738 (or 70688729 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42413231400 its sum of digits (24), we get a palindrome (42413231424).

Adding to 42413231400 its reverse (413231424), we get a palindrome (42826462824).

The spelling of 42413231400 in words is "forty-two billion, four hundred thirteen million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 70688719 141377438 212066157 282754876 353443595 424132314 565509752 706887190 848264628 1060330785 1413774380 1696529256 1767217975 2120661570 2827548760 3534435950 4241323140 5301653925 7068871900 8482646280 10603307850 14137743800 21206615700 42413231400