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5440656240 = 24325311731409
BaseRepresentation
bin1010001000100100…
…11101001101110000
3112001011112222021200
411010102131031300
542120301444430
62255512051200
7251552546355
oct50422351560
915034488250
105440656240
112342121618
12107a093b00
13689236626
1439880a62c
1521c99b460
hex14449d370

5440656240 has 240 divisors, whose sum is σ = 18983427840. Its totient is φ = 1394933760.

The previous prime is 5440656239. The next prime is 5440656257. The reversal of 5440656240 is 426560445.

5440656240 is a `hidden beast` number, since 5 + 4 + 406 + 5 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5440656195 and 5440656204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3860656 + ... + 3862064.

It is an arithmetic number, because the mean of its divisors is an integer number (79097616).

Almost surely, 25440656240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9491713920).

5440656240 is an abundant number, since it is smaller than the sum of its proper divisors (13542771600).

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

5440656240 is a wasteful number, since it uses less digits than its factorization.

5440656240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5440656240 is about 73760.8042255506. The cubic root of 5440656240 is about 1758.8025860076.

The spelling of 5440656240 in words is "five billion, four hundred forty million, six hundred fifty-six thousand, two hundred forty".