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5440315104 = 25357891123
BaseRepresentation
bin1010001000100010…
…01001111011100000
3112001010220122100000
411010101021323200
542120210040404
62255500500000
7251546625660
oct50421117340
915033818300
105440315104
112341a09294
121079b4a600
13689147283
1439875c1a0
1521c930339
hex144449ee0

5440315104 has 288 divisors, whose sum is σ = 18558408960. Its totient is φ = 1535542272.

The previous prime is 5440315081. The next prime is 5440315121. The reversal of 5440315104 is 4015130445.

It is a happy number.

5440315104 is a `hidden beast` number, since 544 + 0 + 3 + 15 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4843887 + ... + 4845009.

It is an arithmetic number, because the mean of its divisors is an integer number (64438920).

Almost surely, 25440315104 is an apocalyptic number.

5440315104 is a gapful number since it is divisible by the number (54) 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 5440315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9279204480).

5440315104 is an abundant number, since it is smaller than the sum of its proper divisors (13118093856).

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

5440315104 is a wasteful number, since it uses less digits than its factorization.

5440315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5440315104 is about 73758.4917416293. The cubic root of 5440315104 is about 1758.7658255267.

Adding to 5440315104 its reverse (4015130445), we get a palindrome (9455445549).

The spelling of 5440315104 in words is "five billion, four hundred forty million, three hundred fifteen thousand, one hundred four".