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321442033142412 = 223471322563332717
BaseRepresentation
bin100100100010110011000111…
…0001100111000101010001100
31120011010120001222011202120000
41021011212032030320222030
5314113001240441024122
63055352233105124300
7124464264144131520
oct11105461614705214
91504116058152500
10321442033142412
119346a889806876
1230075752629690
1310a48b13654700
145953c3d8b1d80
1527266a1a990ac
hex124598e338a8c

321442033142412 has 360 divisors, whose sum is σ = 1039986292425696. Its totient is φ = 84770022445056.

The previous prime is 321442033142383. The next prime is 321442033142423. The reversal of 321442033142412 is 214241330244123.

321442033142412 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 4 + 203 + 31 + 4 + 2 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9824907478 + ... + 9824940194.

Almost surely, 2321442033142412 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 321442033142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519993146212848).

321442033142412 is an abundant number, since it is smaller than the sum of its proper divisors (718544259283284).

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

321442033142412 is a wasteful number, since it uses less digits than its factorization.

321442033142412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58399 (or 58375 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 321442033142412 its reverse (214241330244123), we get a palindrome (535683363386535).

The spelling of 321442033142412 in words is "three hundred twenty-one trillion, four hundred forty-two billion, thirty-three million, one hundred forty-two thousand, four hundred twelve".