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5320144738944 = 2732731173123017
BaseRepresentation
bin100110101101011000101…
…0101100101101010000000
3200211121020000220220220200
41031122301111211222000
51144131124023121234
615152012445205200
71056240101100030
oct115326125455200
920747200826820
105320144738944
111771296011342
1271b0b5860800
132c78c2576b39
141456d40c98c0
15935c86dbd99
hex4d6b1565a80

5320144738944 has 384 divisors, whose sum is σ = 18165251220480. Its totient is φ = 1462492938240.

The previous prime is 5320144738943. The next prime is 5320144738981. The reversal of 5320144738944 is 4498374410235.

5320144738944 is a `hidden beast` number, since 53 + 2 + 0 + 1 + 4 + 473 + 89 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (5320144738943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43185724 + ... + 43308740.

It is an arithmetic number, because the mean of its divisors is an integer number (47305341720).

Almost surely, 25320144738944 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 5320144738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082625610240).

5320144738944 is an abundant number, since it is smaller than the sum of its proper divisors (12845106481536).

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

5320144738944 is a wasteful number, since it uses less digits than its factorization.

5320144738944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123248 (or 123233 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 5320144738944 in words is "five trillion, three hundred twenty billion, one hundred forty-four million, seven hundred thirty-eight thousand, nine hundred forty-four".