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214154414424 = 23322974366867
BaseRepresentation
bin1100011101110010011…
…0010000100101011000
3202110202210022102211200
43013130212100211120
512002042012230144
6242214200154200
721320642326236
oct3073446204530
9673683272750
10214154414424
1182905647265
1235607a68960
131726b914322
14a517cb1956
155885e09c69
hex31dc990958

214154414424 has 24 divisors (see below), whose sum is σ = 580001539260. Its totient is φ = 71384804784.

The previous prime is 214154414423. The next prime is 214154414447. The reversal of 214154414424 is 424414451412.

214154414424 is a `hidden beast` number, since 2 + 141 + 54 + 41 + 4 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2141544144242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214154414423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1487183362 + ... + 1487183505.

Almost surely, 2214154414424 is an apocalyptic number.

214154414424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214154414424 is an abundant number, since it is smaller than the sum of its proper divisors (365847124836).

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

214154414424 is a wasteful number, since it uses less digits than its factorization.

214154414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974366879 (or 2974366872 counting only the distinct ones).

The product of its digits is 81920, while the sum is 36.

Adding to 214154414424 its reverse (424414451412), we get a palindrome (638568865836).

The spelling of 214154414424 in words is "two hundred fourteen billion, one hundred fifty-four million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2974366867 5948733734 8923100601 11897467468 17846201202 23794934936 26769301803 35692402404 53538603606 71384804808 107077207212 214154414424