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320013243540 = 223251777851353
BaseRepresentation
bin1001010100000100100…
…01101001010010010100
31010121000021101010201100
410222002101221102110
520220341342243130
6403002334230100
732056140455214
oct4520221512224
91117007333640
10320013243540
111137981513a1
125202b955330
132423c192553
14116bb0b4244
1584ce693c60
hex4a82469494

320013243540 has 36 divisors (see below), whose sum is σ = 970706839284. Its totient is φ = 85336864896.

The previous prime is 320013243481. The next prime is 320013243541. The reversal of 320013243540 is 45342310023.

It can be written as a sum of positive squares in 2 ways, for example, as 233022460176 + 86990783364 = 482724^2 + 294942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320013243541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888925497 + ... + 888925856.

It is an arithmetic number, because the mean of its divisors is an integer number (26964078869).

Almost surely, 2320013243540 is an apocalyptic number.

320013243540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320013243540 is an abundant number, since it is smaller than the sum of its proper divisors (650693595744).

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

320013243540 is a wasteful number, since it uses less digits than its factorization.

320013243540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777851368 (or 1777851363 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 320013243540 its reverse (45342310023), we get a palindrome (365355553563).

The spelling of 320013243540 in words is "three hundred twenty billion, thirteen million, two hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1777851353 3555702706 5333554059 7111405412 8889256765 10667108118 16000662177 17778513530 21334216236 26667770295 32001324354 35557027060 53335540590 64002648708 80003310885 106671081180 160006621770 320013243540