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4000044040 = 235434749481
BaseRepresentation
bin1110111001101011…
…1101010000001000
3101022202210021212021
43232122331100020
531143002402130
61500530454224
7201060545656
oct35632752010
911282707767
104000044040
111772a14323
12937734374
134b9938785
1429d365dd6
1518628337a
hexee6bd408

4000044040 has 64 divisors (see below), whose sum is σ = 9405538560. Its totient is φ = 1529525760.

The previous prime is 4000043923. The next prime is 4000044077. The reversal of 4000044040 is 404400004.

4000044040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56100 + ... + 105580.

It is an arithmetic number, because the mean of its divisors is an integer number (146961540).

Almost surely, 24000044040 is an apocalyptic number.

4000044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702769280).

4000044040 is an abundant number, since it is smaller than the sum of its proper divisors (5405494520).

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

4000044040 is a wasteful number, since it uses less digits than its factorization.

4000044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49582 (or 49578 counting only the distinct ones).

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

The square root of 4000044040 is about 63245.9013691796. The cubic root of 4000044040 is about 1587.4068777087.

Adding to 4000044040 its reverse (404400004), we get a palindrome (4404444044).

The spelling of 4000044040 in words is "four billion, forty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 40 43 47 86 94 172 188 215 235 344 376 430 470 860 940 1720 1880 2021 4042 8084 10105 16168 20210 40420 49481 80840 98962 197924 247405 395848 494810 989620 1979240 2127683 2325607 4255366 4651214 8510732 9302428 10638415 11628035 17021464 18604856 21276830 23256070 42553660 46512140 85107320 93024280 100001101 200002202 400004404 500005505 800008808 1000011010 2000022020 4000044040