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4040000440 = 235729497537
BaseRepresentation
bin1111000011001101…
…1000001110111000
3101102112222021201221
43300303120032320
531233220003230
61504515121424
7202054302640
oct36063301670
911375867657
104040000440
111793525143
12948ba3274
134c4cb8508
142a47a7520
15189a2727a
hexf0cd83b8

4040000440 has 64 divisors (see below), whose sum is σ = 10746820800. Its totient is φ = 1337376768.

The previous prime is 4040000431. The next prime is 4040000467. The reversal of 4040000440 is 440000404.

4040000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 240649 + ... + 256888.

It is an arithmetic number, because the mean of its divisors is an integer number (167919075).

Almost surely, 24040000440 is an apocalyptic number.

4040000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040000440 is an abundant number, since it is smaller than the sum of its proper divisors (6706820360).

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

4040000440 is a wasteful number, since it uses less digits than its factorization.

4040000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497584 (or 497580 counting only the distinct ones).

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

The square root of 4040000440 is about 63560.9977895250. The cubic root of 4040000440 is about 1592.6749061777.

Adding to 4040000440 its reverse (440000404), we get a palindrome (4480000844).

The spelling of 4040000440 in words is "four billion, forty million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 497537 995074 1990148 2487685 3482759 3980296 4975370 6965518 9950740 13931036 14428573 17413795 19901480 27862072 28857146 34827590 57714292 69655180 72142865 101000011 115428584 139310360 144285730 202000022 288571460 404000044 505000055 577142920 808000088 1010000110 2020000220 4040000440