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3214401120045 = 34548611632749
BaseRepresentation
bin101110110001101001001…
…111001010011100101101
3102101021221010210122210000
4232301221033022130231
5410131043141320140
610500401523334513
7451142566464603
oct56615117123455
912337833718700
103214401120045
11102a2466a6585
1243ab80521439
131a41695a228b
14b1813867873
1558932131a30
hex2ec693ca72d

3214401120045 has 40 divisors (see below), whose sum is σ = 5763300543000. Its totient is φ = 1713993540480.

The previous prime is 3214401120037. The next prime is 3214401120053. The reversal of 3214401120045 is 5400211044123.

3214401120045 is a `hidden beast` number, since 3 + 2 + 1 + 440 + 11 + 200 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3214401120037) and next prime (3214401120053).

It can be written as a sum of positive squares in 4 ways, for example, as 772013521449 + 2442387598596 = 878643^2 + 1562814^2 .

It is not a de Polignac number, because 3214401120045 - 23 = 3214401120037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152331 + ... + 2785079.

It is an arithmetic number, because the mean of its divisors is an integer number (144082513575).

Almost surely, 23214401120045 is an apocalyptic number.

It is an amenable number.

3214401120045 is a deficient number, since it is larger than the sum of its proper divisors (2548899422955).

3214401120045 is a wasteful number, since it uses less digits than its factorization.

3214401120045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637627 (or 1637618 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 3214401120045 its reverse (5400211044123), we get a palindrome (8614612164168).

The spelling of 3214401120045 in words is "three trillion, two hundred fourteen billion, four hundred one million, one hundred twenty thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 4861 14583 24305 43749 72915 131247 218745 393741 656235 1632749 1968705 4898247 8163745 14694741 24491235 44084223 73473705 132252669 220421115 661263345 7936792889 23810378667 39683964445 71431136001 119051893335 214293408003 357155680005 642880224009 1071467040015 3214401120045