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4000440440 = 235112389057
BaseRepresentation
bin1110111001110001…
…1110000001111000
3101022210112102121202
43232130132001320
531143103043230
61500543153332
7201064116443
oct35634360170
911283472552
104000440440
111773165127
129378a5848
134b9a47029
1429d42a65a
15186310a45
hexee71e078

4000440440 has 32 divisors (see below), whose sum is σ = 9009107280. Its totient is φ = 1598733312.

The previous prime is 4000440427. The next prime is 4000440449. The reversal of 4000440440 is 440440004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000440449) by changing a digit.

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, 392 + ... + 89448.

Almost surely, 24000440440 is an apocalyptic number.

4000440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000440440 is an abundant number, since it is smaller than the sum of its proper divisors (5008666840).

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

4000440440 is a wasteful number, since it uses less digits than its factorization.

4000440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90191 (or 90187 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4000440440 is about 63249.0350914542. The cubic root of 4000440440 is about 1587.4593127398.

Adding to 4000440440 its reverse (440440004), we get a palindrome (4440880444).

The spelling of 4000440440 in words is "four billion, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1123 2246 4492 5615 8984 11230 22460 44920 89057 178114 356228 445285 712456 890570 1781140 3562280 100011011 200022022 400044044 500055055 800088088 1000110110 2000220220 4000440440