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10433043144 = 2332144903377
BaseRepresentation
bin10011011011101101…
…11001101011001000
3222221002121111122100
421231312321223020
5132331324340034
64443132153400
7516353255256
oct115566715310
928832544570
1010433043144
1144741a9807
122032008860
13ca362ac14
1470d8895d6
15410dec099
hex26ddb9ac8

10433043144 has 24 divisors (see below), whose sum is σ = 28256158710. Its totient is φ = 3477681024.

The previous prime is 10433043121. The next prime is 10433043169. The reversal of 10433043144 is 44134033401.

10433043144 is a `hidden beast` number, since 1 + 0 + 43 + 304 + 314 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9768950244 + 664092900 = 98838^2 + 25770^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72451617 + ... + 72451760.

Almost surely, 210433043144 is an apocalyptic number.

It is an amenable number.

10433043144 is an abundant number, since it is smaller than the sum of its proper divisors (17823115566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10433043144 is a wasteful number, since it uses less digits than its factorization.

10433043144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144903389 (or 144903382 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10433043144 its reverse (44134033401), we get a palindrome (54567076545).

The spelling of 10433043144 in words is "ten billion, four hundred thirty-three million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 144903377 289806754 434710131 579613508 869420262 1159227016 1304130393 1738840524 2608260786 3477681048 5216521572 10433043144