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4420869249024 = 21135194383131
BaseRepresentation
bin100000001010101000001…
…0101110101100000000000
3120122122000222102202200000
41000111100111311200000
51034412420011432044
613222530322400000
7634253155412544
oct100252025654000
916578028382600
104420869249024
111454975491708
125b4964200000
13260b69c2c327
14113d8501ba24
1579ee4ac4d69
hex40550575800

4420869249024 has 1152 divisors, whose sum is σ = 14544244915200. Its totient is φ = 1336884756480.

The previous prime is 4420869249019. The next prime is 4420869249031. The reversal of 4420869249024 is 4209429680244.

It is a happy number.

4420869249024 is a `hidden beast` number, since 4 + 42 + 0 + 8 + 6 + 92 + 490 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 33747093439 + ... + 33747093569.

It is an arithmetic number, because the mean of its divisors is an integer number (12625212600).

Almost surely, 24420869249024 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 4420869249024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272122457600).

4420869249024 is an abundant number, since it is smaller than the sum of its proper divisors (10123375666176).

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

4420869249024 is a wasteful number, since it uses less digits than its factorization.

4420869249024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4420869249024 in words is "four trillion, four hundred twenty billion, eight hundred sixty-nine million, two hundred forty-nine thousand, twenty-four".