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4040004440 = 2351728121143
BaseRepresentation
bin1111000011001101…
…1001001101011000
3101102112222111020002
43300303121031120
531233220120230
61504515152132
7202054320413
oct36063311530
911375874202
104040004440
11179352814a
12948ba5648
134c4cba294
142a47a8b7a
15189a28545
hexf0cd9358

4040004440 has 64 divisors (see below), whose sum is σ = 9659424960. Its totient is φ = 1515458560.

The previous prime is 4040004431. The next prime is 4040004443. The reversal of 4040004440 is 444000404.

4040004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

4040004440 is a modest number, since divided by 4440 gives 4040 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040004443) 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, 180509 + ... + 201651.

It is an arithmetic number, because the mean of its divisors is an integer number (150928515).

Almost surely, 24040004440 is an apocalyptic number.

4040004440 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 4040004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829712480).

4040004440 is an abundant number, since it is smaller than the sum of its proper divisors (5619420520).

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

4040004440 is a wasteful number, since it uses less digits than its factorization.

4040004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21452 (or 21448 counting only the distinct ones).

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

The square root of 4040004440 is about 63561.0292553543. The cubic root of 4040004440 is about 1592.6754318128.

Adding to 4040004440 its reverse (444000404), we get a palindrome (4484004844).

The spelling of 4040004440 in words is "four billion, forty million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 281 340 562 680 1124 1405 2248 2810 4777 5620 9554 11240 19108 21143 23885 38216 42286 47770 84572 95540 105715 169144 191080 211430 359431 422860 718862 845720 1437724 1797155 2875448 3594310 5941183 7188620 11882366 14377240 23764732 29705915 47529464 59411830 101000111 118823660 202000222 237647320 404000444 505000555 808000888 1010001110 2020002220 4040004440