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214330013433 = 32171481945881
BaseRepresentation
bin1100011110011100010…
…0000111011011111001
3202111020000201210101200
43013213010013123321
512002421440412213
6242243432004413
721325204024554
oct3074704073371
9674200653350
10214330013433
1182995783408
1235656830709
1317299106c73
14a53334169b
155896544273
hex31e71076f9

214330013433 has 24 divisors (see below), whose sum is σ = 328020527016. Its totient is φ = 134390630400.

The previous prime is 214330013419. The next prime is 214330013473. The reversal of 214330013433 is 334310033412.

214330013433 is a `hidden beast` number, since 2 + 14 + 3 + 300 + 1 + 343 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90367574544 + 123962438889 = 300612^2 + 352083^2 .

It is not a de Polignac number, because 214330013433 - 218 = 214329751289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214330013397 and 214330013406.

It is not an unprimeable number, because it can be changed into a prime (214330013473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246348 + ... + 699533.

It is an arithmetic number, because the mean of its divisors is an integer number (13667521959).

Almost surely, 2214330013433 is an apocalyptic number.

It is an amenable number.

214330013433 is a deficient number, since it is larger than the sum of its proper divisors (113690513583).

214330013433 is a wasteful number, since it uses less digits than its factorization.

214330013433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947385 (or 947382 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 214330013433 its reverse (334310033412), we get a palindrome (548640046845).

The spelling of 214330013433 in words is "two hundred fourteen billion, three hundred thirty million, thirteen thousand, four hundred thirty-three".

Divisors: 1 3 9 17 51 153 1481 4443 13329 25177 75531 226593 945881 2837643 8512929 16079977 48239931 144719793 1400849761 4202549283 12607647849 23814445937 71443337811 214330013433