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202444440040 = 23529174521069
BaseRepresentation
bin1011110010001010100…
…0010000000111101000
3201100112200221002211201
42330202220100013220
511304101234040130
6233000210533544
720424522230233
oct2744250200750
9640480832751
10202444440040
1178946677187
123329a2972b4
13161238975bb
149b269cc41a
1553ecd77bca
hex2f22a101e8

202444440040 has 32 divisors (see below), whose sum is σ = 471206889000. Its totient is φ = 78185438464.

The previous prime is 202444440031. The next prime is 202444440047. The reversal of 202444440040 is 40044444202.

202444440040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 199610581284 + 2833858756 = 446778^2 + 53234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202444439990 and 202444440008.

It is not an unprimeable number, because it can be changed into a prime (202444440047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87259375 + ... + 87261694.

Almost surely, 2202444440040 is an apocalyptic number.

202444440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202444440040 is an abundant number, since it is smaller than the sum of its proper divisors (268762448960).

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

202444440040 is a wasteful number, since it uses less digits than its factorization.

202444440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174521109 (or 174521105 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 202444440040 its reverse (40044444202), we get a palindrome (242488884242).

The spelling of 202444440040 in words is "two hundred two billion, four hundred forty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 174521069 349042138 698084276 872605345 1396168552 1745210690 3490421380 5061111001 6980842760 10122222002 20244444004 25305555005 40488888008 50611110010 101222220020 202444440040