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214213041340 = 225109383256561
BaseRepresentation
bin1100011110000000010…
…1111001110010111100
3202110220212121222211221
43013200011321302330
512002202014310330
6242224052523124
721322253544214
oct3074005716274
9673825558757
10214213041340
118293574a561
12356236204a4
131727ab002cc
14a5219b3244
15588b13ab7a
hex31e0179cbc

214213041340 has 48 divisors (see below), whose sum is σ = 455161512960. Its totient is φ = 84677114880.

The previous prime is 214213041311. The next prime is 214213041353. The reversal of 214213041340 is 43140312412.

214213041340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706660 + ... + 963220.

It is an arithmetic number, because the mean of its divisors is an integer number (9482531520).

Almost surely, 2214213041340 is an apocalyptic number.

214213041340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214213041340 is an abundant number, since it is smaller than the sum of its proper divisors (240948471620).

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

214213041340 is a wasteful number, since it uses less digits than its factorization.

214213041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257062 (or 257060 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214213041340 its reverse (43140312412), we get a palindrome (257353353752).

The spelling of 214213041340 in words is "two hundred fourteen billion, two hundred thirteen million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 109 218 383 436 545 766 1090 1532 1915 2180 3830 7660 41747 83494 166988 208735 256561 417470 513122 834940 1026244 1282805 2565610 5131220 27965149 55930298 98262863 111860596 139825745 196525726 279651490 393051452 491314315 559302980 982628630 1965257260 10710652067 21421304134 42842608268 53553260335 107106520670 214213041340