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1024443345444 = 223612180364189
BaseRepresentation
bin11101110100001011001…
…01001110101000100100
310121221021012220000210120
432322011211032220210
5113241024444023234
62102342304121540
7134004442521561
oct16720545165044
93557235800716
101024443345444
1136551161a132
121466640062b0
13757b23a195c
14378248cb868
151b9ac62e049
hexee8594ea24

1024443345444 has 48 divisors (see below), whose sum is σ = 2429703447360. Its totient is φ = 335862426240.

The previous prime is 1024443345407. The next prime is 1024443345449. The reversal of 1024443345444 is 4445433444201.

It is a junction number, because it is equal to n+sod(n) for n = 1024443345396 and 1024443345405.

It is not an unprimeable number, because it can be changed into a prime (1024443345449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15927702 + ... + 15991890.

It is an arithmetic number, because the mean of its divisors is an integer number (50618821820).

Almost surely, 21024443345444 is an apocalyptic number.

It is an amenable number.

1024443345444 is an abundant number, since it is smaller than the sum of its proper divisors (1405260101916).

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

1024443345444 is a wasteful number, since it uses less digits than its factorization.

1024443345444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86060 (or 86058 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 42.

Adding to 1024443345444 its reverse (4445433444201), we get a palindrome (5469876789645).

The spelling of 1024443345444 in words is "one trillion, twenty-four billion, four hundred forty-three million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 21803 43606 64189 65409 87212 128378 130818 192567 256756 261636 385134 770268 1329983 2659966 3915529 3989949 5319932 7831058 7979898 11746587 15662116 15959796 23493174 46986348 1399512767 2799025534 4198538301 5598051068 8397076602 16794153204 85370278787 170740557574 256110836361 341481115148 512221672722 1024443345444