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10044434411 = 11171632291439
BaseRepresentation
bin10010101101011000…
…11110011111101011
3221221000101010200022
421112230132133223
5131032333400121
64340411031055
7503624166224
oct112654363753
927830333608
1010044434411
114294904270
121b43a3b48b
13c40c7751b
146b400c24b
153dbc38aab
hex256b1e7eb

10044434411 has 32 divisors (see below), whose sum is σ = 11732428800. Its totient is φ = 8498234880.

The previous prime is 10044434359. The next prime is 10044434429. The reversal of 10044434411 is 11443444001.

It is a cyclic number.

It is not a de Polignac number, because 10044434411 - 222 = 10040240107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10044434431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6979430 + ... + 6980868.

It is an arithmetic number, because the mean of its divisors is an integer number (366638400).

Almost surely, 210044434411 is an apocalyptic number.

10044434411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10044434411 is a deficient number, since it is larger than the sum of its proper divisors (1687994389).

10044434411 is a wasteful number, since it uses less digits than its factorization.

10044434411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10044434411 its reverse (11443444001), we get a palindrome (21487878412).

The spelling of 10044434411 in words is "ten billion, forty-four million, four hundred thirty-four thousand, four hundred eleven".

Divisors: 1 11 17 163 187 229 1439 1793 2519 2771 3893 15829 24463 30481 37327 42823 234557 269093 329531 410597 634559 2580127 3624841 3987469 5602027 6980149 43862159 53713553 61622297 590849083 913130401 10044434411