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4224421113040 = 24589213591901
BaseRepresentation
bin111101011110010011000…
…111101010110011010000
3112221211222011121110121201
4331132103013222303100
51023203103301104130
612552401113200544
7614130043665322
oct75362307526320
915854864543551
104224421113040
111389626651517
1258287a100154
1324849073844b
1410866a959612
1574d483a4bca
hex3d7931eacd0

4224421113040 has 40 divisors (see below), whose sum is σ = 9821905775208. Its totient is φ = 1689746649600.

The previous prime is 4224421112999. The next prime is 4224421113067. The reversal of 4224421113040 is 403111244224.

It can be written as a sum of positive squares in 4 ways, for example, as 495830039104 + 3728591073936 = 704152^2 + 1930956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42244211130402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6841090 + ... + 7432990.

Almost surely, 24224421113040 is an apocalyptic number.

4224421113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224421113040 is an abundant number, since it is smaller than the sum of its proper divisors (5597484662168).

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

4224421113040 is a wasteful number, since it uses less digits than its factorization.

4224421113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681127 (or 681121 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4224421113040 its reverse (403111244224), we get a palindrome (4627532357264).

The spelling of 4224421113040 in words is "four trillion, two hundred twenty-four billion, four hundred twenty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89213 178426 356852 446065 591901 713704 892130 1183802 1427408 1784260 2367604 2959505 3568520 4735208 5919010 7137040 9470416 11838020 23676040 47352080 52805263913 105610527826 211221055652 264026319565 422442111304 528052639130 844884222608 1056105278260 2112210556520 4224421113040