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214049463441 = 31147791746929
BaseRepresentation
bin1100011101011001010…
…1111001110010010001
3202110111110211101011020
43013112111321302101
512001333130312231
6242155530510053
721315226263552
oct3072625716221
9673443741136
10214049463441
1182861384010
1235598895329
1317252c59158
14a507d92329
15587bac8396
hex31d6579c91

214049463441 has 32 divisors (see below), whose sum is σ = 321994137600. Its totient is φ = 125359553280.

The previous prime is 214049463401. The next prime is 214049463443. The reversal of 214049463441 is 144364940412.

It is not a de Polignac number, because 214049463441 - 218 = 214049201297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214049463393 and 214049463402.

It is not an unprimeable number, because it can be changed into a prime (214049463443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750936 + ... + 995993.

It is an arithmetic number, because the mean of its divisors is an integer number (10062316800).

Almost surely, 2214049463441 is an apocalyptic number.

It is an amenable number.

214049463441 is a deficient number, since it is larger than the sum of its proper divisors (107944674159).

214049463441 is a wasteful number, since it uses less digits than its factorization.

214049463441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747069.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 214049463441 in words is "two hundred fourteen billion, forty-nine million, four hundred sixty-three thousand, four hundred forty-one".

Divisors: 1 3 11 33 47 79 141 237 517 869 1551 2607 3713 11139 40843 122529 1746929 5240787 19216219 57648657 82105663 138007391 246316989 414022173 903162293 1518081301 2709486879 4554243903 6486347377 19459042131 71349821147 214049463441