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3421135110441 = 331378811128521
BaseRepresentation
bin110001110010001011100…
…010110000000100101001
3110010001112210021111111010
4301302023202300010221
5422022441042013231
611135351530254133
7502111626426636
oct61621342600451
913101483244433
103421135110441
1110a99936433a4
12473057287349
131ba7c4a6a949
14bb82601d18d
155ded1877546
hex31c8b8b0129

3421135110441 has 32 divisors (see below), whose sum is σ = 4841413549056. Its totient is φ = 2145090816000.

The previous prime is 3421135110427. The next prime is 3421135110443. The reversal of 3421135110441 is 1440115311243.

It is a happy number.

It is not a de Polignac number, because 3421135110441 - 214 = 3421135094057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3421135110399 and 3421135110408.

It is not an unprimeable number, because it can be changed into a prime (3421135110443) 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 31 ways as a sum of consecutive naturals, for example, 2467261 + ... + 3595781.

It is an arithmetic number, because the mean of its divisors is an integer number (151294173408).

Almost surely, 23421135110441 is an apocalyptic number.

3421135110441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3421135110441 is a deficient number, since it is larger than the sum of its proper divisors (1420278438615).

3421135110441 is a wasteful number, since it uses less digits than its factorization.

3421135110441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129473.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 3421135110441 in words is "three trillion, four hundred twenty-one billion, one hundred thirty-five million, one hundred ten thousand, four hundred forty-one".

Divisors: 1 3 31 37 93 111 881 1147 2643 3441 27311 32597 81933 97791 1010507 1128521 3031521 3385563 34984151 41755277 104952453 125265831 994227001 1294413587 2982681003 3883240761 30821037031 36786399037 92463111093 110359197111 1140378370147 3421135110441