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10414141023341 = 1119317332192863
BaseRepresentation
bin1001011110001011101100…
…1011010010010001101101
31100212120201101122001001102
42113202323023102101231
52331111130100221331
634052105040252445
72123253060065516
oct227427313222155
940776641561042
1010414141023341
113355681125570
1212023b6911125
135a70843807a3
142800933d7a0d
15130d680294cb
hex978bb2d246d

10414141023341 has 32 divisors (see below), whose sum is σ = 12361437511680. Its totient is φ = 8667944913600.

The previous prime is 10414141023287. The next prime is 10414141023359. The reversal of 10414141023341 is 14332014141401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10414141023341 - 218 = 10414140761197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414141023371) 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, 3652676 + ... + 5845538.

It is an arithmetic number, because the mean of its divisors is an integer number (386294922240).

Almost surely, 210414141023341 is an apocalyptic number.

10414141023341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10414141023341 is a deficient number, since it is larger than the sum of its proper divisors (1947296488339).

10414141023341 is a wasteful number, since it uses less digits than its factorization.

10414141023341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193657.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10414141023341 its reverse (14332014141401), we get a palindrome (24746155164742).

The spelling of 10414141023341 in words is "ten trillion, four hundred fourteen billion, one hundred forty-one million, twenty-three thousand, three hundred forty-one".

Divisors: 1 11 19 31 209 341 589 733 6479 8063 13927 22723 153197 249953 431737 2192863 4749107 24121493 41664397 67978753 458308367 747766283 1291596307 1607368579 14207559377 17681054369 30540003001 49828425949 335940033011 548112685439 946740093031 10414141023341