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4140025440 = 25358625053
BaseRepresentation
bin1111011011000011…
…1100011001100000
3101200112012002020120
43312300330121200
531434321303230
61522451040240
7204410431005
oct36660743140
911615162216
104140025440
111834a33431
129765a0080
1350c93a4c5
142b3ba38ac
151936d4310
hexf6c3c660

4140025440 has 48 divisors (see below), whose sum is σ = 13041081648. Its totient is φ = 1104006656.

The previous prime is 4140025433. The next prime is 4140025441. The reversal of 4140025440 is 445200414.

It is a happy number.

4140025440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4140025440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140025441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4312047 + ... + 4313006.

It is an arithmetic number, because the mean of its divisors is an integer number (271689201).

Almost surely, 24140025440 is an apocalyptic number.

4140025440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140025440 is an abundant number, since it is smaller than the sum of its proper divisors (8901056208).

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

4140025440 is a wasteful number, since it uses less digits than its factorization.

4140025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625071 (or 8625063 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4140025440 is about 64343.0294592973. The cubic root of 4140025440 is about 1605.7120626125.

Adding to 4140025440 its reverse (445200414), we get a palindrome (4585225854).

The spelling of 4140025440 in words is "four billion, one hundred forty million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8625053 17250106 25875159 34500212 43125265 51750318 69000424 86250530 103500636 129375795 138000848 172501060 207001272 258751590 276001696 345002120 414002544 517503180 690004240 828005088 1035006360 1380008480 2070012720 4140025440