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214024011330441 = 31340158272348597
BaseRepresentation
bin110000101010011101011001…
…001010110011001110001001
31001001210111101100002222110210
4300222131121022303032021
5211023032133400033231
62035105135022431333
763036503342636124
oct6052353112631611
91031714340088423
10214024011330441
116221608988a984
1220007354432549
1392564ba978460
143abcb62ddb3bb
1519b23c7e6aa46
hexc2a7592b3389

214024011330441 has 32 divisors (see below), whose sum is σ = 308135907289728. Its totient is φ = 131356034841600.

The previous prime is 214024011330427. The next prime is 214024011330473. The reversal of 214024011330441 is 144033110420412.

It is a happy number.

It is not a de Polignac number, because 214024011330441 - 29 = 214024011329929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214024011330399 and 214024011330408.

It is not an unprimeable number, because it can be changed into a prime (214024011331441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89954155 + ... + 92302751.

It is an arithmetic number, because the mean of its divisors is an integer number (9629247102804).

Almost surely, 2214024011330441 is an apocalyptic number.

It is an amenable number.

214024011330441 is a deficient number, since it is larger than the sum of its proper divisors (94111895959287).

214024011330441 is a wasteful number, since it uses less digits than its factorization.

214024011330441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354841.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 214024011330441 its reverse (144033110420412), we get a palindrome (358057121750853).

The spelling of 214024011330441 in words is "two hundred fourteen trillion, twenty-four billion, eleven million, three hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 13 39 401 1203 5213 5827 15639 17481 75751 227253 2336627 2348597 7009881 7045791 30376151 30531761 91128453 91595283 941787397 2825362191 12243236161 13685274719 36729708483 41055824157 177908571347 533725714041 5487795162319 16463385486957 71341337110147 214024011330441