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234283545382432 = 257131723205766021
BaseRepresentation
bin110101010001010001100011…
…011111111100111000100000
31010201112021210002200100212111
4311101101203133330320200
5221202000200104214212
62150140212552205104
7100230266442011530
oct6521214337747040
91121467702610774
10234283545382432
1168717103677577
1222339879399794
13a095ac7316850
1441bd553d7d4c0
151c143bcb39ea7
hexd514637fce20

234283545382432 has 192 divisors, whose sum is σ = 627214342132224. Its totient is φ = 83438944174080.

The previous prime is 234283545382429. The next prime is 234283545382441.

234283545382432 is nontrivially palindromic in base 10.

234283545382432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101744419 + ... + 104021602.

It is an arithmetic number, because the mean of its divisors is an integer number (3266741365272).

Almost surely, 2234283545382432 is an apocalyptic number.

It is an amenable number.

234283545382432 is an abundant number, since it is smaller than the sum of its proper divisors (392930796749792).

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

234283545382432 is a wasteful number, since it uses less digits than its factorization.

234283545382432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205766091 (or 205766083 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 58.

The spelling of 234283545382432 in words is "two hundred thirty-four trillion, two hundred eighty-three billion, five hundred forty-five million, three hundred eighty-two thousand, four hundred thirty-two".