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6230114406 = 2331717339229
BaseRepresentation
bin1011100110101100…
…00000000001100110
3121002012001121022000
411303112000001212
5100224402130111
62510112550130
7310250045565
oct56326000146
917065047260
106230114406
11270781218a
12125a552346
13783968139
144315cdbdc
15266e3ec56
hex173580066

6230114406 has 64 divisors (see below), whose sum is σ = 14744203200. Its totient is φ = 1943198208.

The previous prime is 6230114393. The next prime is 6230114419. The reversal of 6230114406 is 6044110326.

It is an interprime number because it is at equal distance from previous prime (6230114393) and next prime (6230114419).

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6230114406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139200 + ... + 178428.

It is an arithmetic number, because the mean of its divisors is an integer number (230378175).

Almost surely, 26230114406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6230114406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372101600).

6230114406 is an abundant number, since it is smaller than the sum of its proper divisors (8514088794).

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

6230114406 is a wasteful number, since it uses less digits than its factorization.

6230114406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39430 (or 39424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6230114406 is about 78931.0737669265. The cubic root of 6230114406 is about 1840.0600962965.

The spelling of 6230114406 in words is "six billion, two hundred thirty million, one hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 173 306 346 459 519 918 1038 1557 2941 3114 4671 5882 8823 9342 17646 26469 39229 52938 78458 79407 117687 158814 235374 353061 666893 706122 1059183 1333786 2000679 2118366 4001358 6002037 6786617 12004074 13573234 18006111 20359851 36012222 40719702 61079553 115372489 122159106 183238659 230744978 346117467 366477318 692234934 1038352401 2076704802 3115057203 6230114406