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214301441411334 = 2337151979156681
BaseRepresentation
bin110000101110011111110001…
…010010100100100100000110
31001002210000110220202022201000
4300232133301102210210012
5211042103323000130314
62035440420104114130
763065524331500164
oct6056376122444406
91032700426668630
10214301441411334
1162312804938972
122005107b165946
13927670185c234
143acc360806234
1519b9713e71209
hexc2e7f14a4906

214301441411334 has 64 divisors (see below), whose sum is σ = 476349070786560. Its totient is φ = 71415269640000.

The previous prime is 214301441411327. The next prime is 214301441411389. The reversal of 214301441411334 is 433114144103412.

214301441411334 is a `hidden beast` number, since 2 + 1 + 4 + 301 + 4 + 4 + 1 + 4 + 11 + 334 = 666.

It is a congruent number.

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, 3780805474 + ... + 3780862154.

It is an arithmetic number, because the mean of its divisors is an integer number (7442954231040).

Almost surely, 2214301441411334 is an apocalyptic number.

214301441411334 is an abundant number, since it is smaller than the sum of its proper divisors (262047629375226).

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

214301441411334 is a wasteful number, since it uses less digits than its factorization.

214301441411334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73634 (or 73628 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 214301441411334 its reverse (433114144103412), we get a palindrome (647415585514746).

The spelling of 214301441411334 in words is "two hundred fourteen trillion, three hundred one billion, four hundred forty-one million, four hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 7151 9791 14302 19582 21453 29373 42906 56681 58746 64359 88119 113362 128718 170043 176238 193077 264357 340086 386154 510129 528714 1020258 1530387 3060774 70015441 140030882 210046323 405325831 420092646 554963671 630138969 810651662 1109927342 1215977493 1260277938 1664891013 1890416907 2431954986 3329782026 3647932479 3780833814 4994673039 7295864958 9989346078 10943797437 14984019117 21887594874 29968038234 3968545211321 7937090422642 11905635633963 23811271267926 35716906901889 71433813803778 107150720705667 214301441411334