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214384742286 = 2311132411036787
BaseRepresentation
bin1100011110101001010…
…0111000111110001110
3202111100211201022021020
43013222110320332032
512003024443223121
6242253105015010
721326440146111
oct3075224707616
9674324638236
10214384742286
1182a13663a70
1235671024466
13172a75598c0
14a53a70a578
15589b2551c6
hex31ea538f8e

214384742286 has 64 divisors (see below), whose sum is σ = 505819835136. Its totient is φ = 59718873600.

The previous prime is 214384742269. The next prime is 214384742287. The reversal of 214384742286 is 682247483412.

214384742286 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214384742287) 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, 311616 + ... + 725171.

It is an arithmetic number, because the mean of its divisors is an integer number (7903434924).

Almost surely, 2214384742286 is an apocalyptic number.

214384742286 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

214384742286 is an abundant number, since it is smaller than the sum of its proper divisors (291435092850).

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

214384742286 is a wasteful number, since it uses less digits than its factorization.

214384742286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037057.

The product of its digits is 4128768, while the sum is 51.

The spelling of 214384742286 in words is "two hundred fourteen billion, three hundred eighty-four million, seven hundred forty-two thousand, two hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 241 286 429 482 723 858 1446 2651 3133 5302 6266 7953 9399 15906 18798 34463 68926 103389 206778 1036787 2073574 3110361 6220722 11404657 13478231 22809314 26956462 34213971 40434693 68427942 80869386 148260541 249865667 296521082 444781623 499731334 749597001 889563246 1499194002 2748522337 3248253671 5497044674 6496507342 8245567011 9744761013 16491134022 19489522026 35730790381 71461580762 107192371143 214384742286