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4000040000440 = 2351110190009901
BaseRepresentation
bin111010001101010100111…
…101101001101110111000
3112011101210122221221012221
4322031110331221232320
51011014040220003230
612301332031213424
7561664502002351
oct72152475515670
915141718857187
104000040000440
111302453332590
12547299377274
13230282192533
14db862792d28
156e0b475c27a
hex3a354f69bb8

4000040000440 has 64 divisors (see below), whose sum is σ = 9915490804320. Its totient is φ = 1440158400000.

The previous prime is 4000040000423. The next prime is 4000040000443. The reversal of 4000040000440 is 440000400004.

4000040000440 = 4999952 + 4999962 + ... + 5000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000040000443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44960511 + ... + 45049390.

Almost surely, 24000040000440 is an apocalyptic number.

4000040000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000040000440 is an abundant number, since it is smaller than the sum of its proper divisors (5915450803880).

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

4000040000440 is a wasteful number, since it uses less digits than its factorization.

4000040000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90010024 (or 90010020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4000040000440 its reverse (440000400004), we get a palindrome (4440040400444).

The spelling of 4000040000440 in words is "four trillion, forty million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 90009901 180019802 360039604 450049505 720079208 900099010 990108911 1800198020 1980217822 3600396040 3960435644 4950544555 7920871288 9091000001 9901089110 18182000002 19802178220 36364000004 39604356440 45455000005 72728000008 90910000010 100001000011 181820000020 200002000022 363640000040 400004000044 500005000055 800008000088 1000010000110 2000020000220 4000040000440