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10104442443441 = 324279726233517
BaseRepresentation
bin1001001100001001111110…
…1100111101011010110001
31022202222022222010002211100
42103002133230331122301
52311022344231142231
633253530005035013
72062010334434043
oct223023754753261
938688288102740
1010104442443441
1132462a7378685
1211723853b5a69
13583aca13ba08
1426d0b4195a93
15127c8e19c1e6
hex9309fb3d6b1

10104442443441 has 12 divisors (see below), whose sum is σ = 14595647343732. Its totient is φ = 6736137304416.

The previous prime is 10104442443427. The next prime is 10104442443457. The reversal of 10104442443441 is 14434424440101.

10104442443441 is a `hidden beast` number, since 1 + 0 + 104 + 442 + 44 + 34 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9553069366416 + 551373077025 = 3090804^2 + 742545^2 .

It is not a de Polignac number, because 10104442443441 - 26 = 10104442443377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10104442443396 and 10104442443405.

It is not an unprimeable number, because it can be changed into a prime (10104442443341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12731586 + ... + 13501931.

It is an arithmetic number, because the mean of its divisors is an integer number (1216303945311).

Almost surely, 210104442443441 is an apocalyptic number.

It is an amenable number.

10104442443441 is a deficient number, since it is larger than the sum of its proper divisors (4491204900291).

10104442443441 is a wasteful number, since it uses less digits than its factorization.

10104442443441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26276320 (or 26276317 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 10104442443441 its reverse (14434424440101), we get a palindrome (24538866883542).

The spelling of 10104442443441 in words is "ten trillion, one hundred four billion, four hundred forty-two million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 9 42797 128391 385173 26233517 78700551 236101653 1122715827049 3368147481147 10104442443441