Search a number
-
+
214833430827028 = 2213171931259192969
BaseRepresentation
bin110000110110001111001110…
…010101001001000000010100
31001011122212122011200201121101
4300312033032111021000110
5211124312331242431103
62040525040551355444
763152126455065256
oct6066171625110024
91034585564621541
10214833430827028
11624a838a0078a2
12201181a9382b84
1392b4923281940
143b09dca375cd6
1519c849d19ea1d
hexc363ce549014

214833430827028 has 48 divisors (see below), whose sum is σ = 430915981421520. Its totient is φ = 92837779144704.

The previous prime is 214833430827017. The next prime is 214833430827091. The reversal of 214833430827028 is 820728034338412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9097209080964 + 205736221746064 = 3016158^2 + 14343508^2 .

It is a super-2 number, since 2×2148334308270282 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214833430827028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629425873 + ... + 629767096.

It is an arithmetic number, because the mean of its divisors is an integer number (8977416279615).

Almost surely, 2214833430827028 is an apocalyptic number.

It is an amenable number.

214833430827028 is an abundant number, since it is smaller than the sum of its proper divisors (216082550594492).

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

214833430827028 is a wasteful number, since it uses less digits than its factorization.

214833430827028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259193196 (or 1259193194 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 55.

The spelling of 214833430827028 in words is "two hundred fourteen trillion, eight hundred thirty-three billion, four hundred thirty million, eight hundred twenty-seven thousand, twenty-eight".

Divisors: 1 2 4 13 17 26 34 52 68 193 221 386 442 772 884 2509 3281 5018 6562 10036 13124 42653 85306 170612 1259192969 2518385938 5036771876 16369508597 21406280473 32739017194 42812560946 65478034388 85625121892 243024243017 278281646149 486048486034 556563292298 972096972068 1113126584596 3159315159221 4131412131289 6318630318442 8262824262578 12637260636884 16525648525156 53708357706757 107416715413514 214833430827028