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321204042123040 = 2557866132552113
BaseRepresentation
bin100100100001000100010010…
…0110101001100011100100000
31120010021210202222002022220001
41021002020210311030130200
5314100101334240414130
63055051033323425344
7124441140411631216
oct11102104465143440
91503253688068801
10321204042123040
11933889620084aa
12300375b3985254
1310a2c546552c1b
145946503d78cb6
1527203c31c66ca
hex1242224d4c720

321204042123040 has 48 divisors (see below), whose sum is σ = 758845811554488. Its totient is φ = 128481403170816.

The previous prime is 321204042123011. The next prime is 321204042123049. The reversal of 321204042123040 is 40321240402123.

It can be written as a sum of positive squares in 4 ways, for example, as 76240349591184 + 244963692531856 = 8731572^2 + 15651316^2 .

It is not an unprimeable number, because it can be changed into a prime (321204042123049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124582024 + ... + 127134136.

Almost surely, 2321204042123040 is an apocalyptic number.

It is an amenable number.

321204042123040 is an abundant number, since it is smaller than the sum of its proper divisors (437641769431448).

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

321204042123040 is a wasteful number, since it uses less digits than its factorization.

321204042123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338741 (or 3338733 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 321204042123040 its reverse (40321240402123), we get a palindrome (361525282525163).

The spelling of 321204042123040 in words is "three hundred twenty-one trillion, two hundred four billion, forty-two million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 786613 1573226 2552113 3146452 3933065 5104226 6292904 7866130 10208452 12585808 12760565 15732260 20416904 25171616 25521130 31464520 40833808 51042260 62929040 81667616 102084520 125858080 204169040 408338080 2007525263269 4015050526538 8030101053076 10037626316345 16060202106152 20075252632690 32120404212304 40150505265380 64240808424608 80301010530760 160602021061520 321204042123040