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321441133232340 = 2232511162344006683
BaseRepresentation
bin100100100010110010101100…
…0100100000000000011010100
31120011010110202020211121000100
41021011211120210000003110
5314112442420101413330
63055352003521014100
7124464232636046142
oct11105453044000324
91504113666747010
10321441133232340
119346a467836040
1230075541184330
1310a489cc08cc44
145953b9617a592
15272664ca89060
hex12459589000d4

321441133232340 has 72 divisors (see below), whose sum is σ = 1063677931793568. Its totient is φ = 77925123207360.

The previous prime is 321441133232321. The next prime is 321441133232371. The reversal of 321441133232340 is 43232331144123.

321441133232340 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 411 + 3 + 3 + 2 + 3 + 234 + 0 = 666.

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 = 321441133232295 and 321441133232304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81172001362 + ... + 81172005321.

It is an arithmetic number, because the mean of its divisors is an integer number (14773304608244).

Almost surely, 2321441133232340 is an apocalyptic number.

321441133232340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321441133232340 is an abundant number, since it is smaller than the sum of its proper divisors (742236798561228).

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

321441133232340 is a wasteful number, since it uses less digits than its factorization.

321441133232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162344006709 (or 162344006704 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 321441133232340 its reverse (43232331144123), we get a palindrome (364673464376463).

The spelling of 321441133232340 in words is "three hundred twenty-one trillion, four hundred forty-one billion, one hundred thirty-three million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 162344006683 324688013366 487032020049 649376026732 811720033415 974064040098 1461096060147 1623440066830 1785784073513 1948128080196 2435160100245 2922192120294 3246880133660 3571568147026 4870320200490 5357352220539 5844384240588 7143136294052 7305480300735 8928920367565 9740640400980 10714704441078 14610960601470 16072056661617 17857840735130 21429408882156 26786761102695 29221921202940 32144113323234 35715681470260 53573522205390 64288226646468 80360283308085 107147044410780 160720566616170 321441133232340