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10434321443341 = 53617920934649
BaseRepresentation
bin1001011111010110111000…
…0001011110101000001101
31100221111210210122121000101
42113311232001132220031
52331423442242141331
634105243332531101
72124566132610325
oct227655601365015
940844723577011
1010434321443341
113363197483824
1212062a9180a91
135a8c4c248503
14281049646285
15131649a33061
hex97d6e05ea0d

10434321443341 has 16 divisors (see below), whose sum is σ = 10649889558000. Its totient is φ = 10219450329088.

The previous prime is 10434321443297. The next prime is 10434321443347. The reversal of 10434321443341 is 14334412343401.

It can be written as a sum of positive squares in 8 ways, for example, as 2940847712100 + 7493473731241 = 1714890^2 + 2737421^2 .

It is a cyclic number.

It is not a de Polignac number, because 10434321443341 - 211 = 10434321441293 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10434321443341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434321443347) 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 15 ways as a sum of consecutive naturals, for example, 301126185 + ... + 301160833.

It is an arithmetic number, because the mean of its divisors is an integer number (665618097375).

Almost surely, 210434321443341 is an apocalyptic number.

It is an amenable number.

10434321443341 is a deficient number, since it is larger than the sum of its proper divisors (215568114659).

10434321443341 is an equidigital number, since it uses as much as digits as its factorization.

10434321443341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44528.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 10434321443341 its reverse (14334412343401), we get a palindrome (24768733786742).

The spelling of 10434321443341 in words is "ten trillion, four hundred thirty-four billion, three hundred twenty-one million, four hundred forty-three thousand, three hundred forty-one".

Divisors: 1 53 617 9209 32701 34649 488077 1836397 5681953 21378433 301143509 319082641 1133056949 16911379973 196873989497 10434321443341