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42202213024 = 2537118130181
BaseRepresentation
bin100111010011011100…
…101010101010100000
311000221010220112211211
4213103130222222200
51142412231304044
631215403515504
73022544614636
oct472334525240
9130833815754
1042202213024
111699705a304
128219528b94
133c973aa2aa
142084c63356
15116eede634
hex9d372aaa0

42202213024 has 48 divisors (see below), whose sum is σ = 85406246856. Its totient is φ = 20512742400.

The previous prime is 42202213013. The next prime is 42202213037. The reversal of 42202213024 is 42031220224.

It can be written as a sum of positive squares in 4 ways, for example, as 42052884624 + 149328400 = 205068^2 + 12220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42202212986 and 42202213004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1383214 + ... + 1413394.

Almost surely, 242202213024 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 42202213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42703123428).

42202213024 is an abundant number, since it is smaller than the sum of its proper divisors (43204033832).

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

42202213024 is a wasteful number, since it uses less digits than its factorization.

42202213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31409 (or 31401 counting only the distinct ones).

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

Adding to 42202213024 its reverse (42031220224), we get a palindrome (84233433248).

The spelling of 42202213024 in words is "forty-two billion, two hundred two million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1181 1184 2362 4724 9448 18896 30181 37792 43697 60362 87394 120724 174788 241448 349576 482896 699152 965792 1116697 1398304 2233394 4466788 8933576 17867152 35643761 35734304 71287522 142575044 285150088 570300176 1140600352 1318819157 2637638314 5275276628 10550553256 21101106512 42202213024