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214007690349 = 3286932735377
BaseRepresentation
bin1100011101001111011…
…0100011010001101101
3202110101120020002020200
43013103312203101231
512001241432042344
6242151435304113
721314211232245
oct3072366432155
9673346202220
10214007690349
118283a8422a2
12355868ab039
13172473c154b
14a5025dab25
1558780c6069
hex31d3da346d

214007690349 has 12 divisors (see below), whose sum is σ = 309157892316. Its totient is φ = 142655329152.

The previous prime is 214007690317. The next prime is 214007690359. The reversal of 214007690349 is 943096700412.

It is a happy number.

214007690349 is a `hidden beast` number, since 214 + 0 + 0 + 7 + 6 + 90 + 349 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36330266025 + 177677424324 = 190605^2 + 421518^2 .

It is not a de Polignac number, because 214007690349 - 25 = 214007690317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214007690359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289452 + ... + 1445925.

It is an arithmetic number, because the mean of its divisors is an integer number (25763157693).

Almost surely, 2214007690349 is an apocalyptic number.

It is an amenable number.

214007690349 is a deficient number, since it is larger than the sum of its proper divisors (95150201967).

214007690349 is a wasteful number, since it uses less digits than its factorization.

214007690349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744076 (or 2744073 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 214007690349 in words is "two hundred fourteen billion, seven million, six hundred ninety thousand, three hundred forty-nine".

Divisors: 1 3 9 8693 26079 78237 2735377 8206131 24618393 23778632261 71335896783 214007690349