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1023204034404 = 22321719376313769
BaseRepresentation
bin11101110001110111011…
…01101000011101100100
310121211001211220111122200
432320323231220131210
5113231010213100104
62102015313254500
7133631643535056
oct16707355503544
93554054814580
101023204034404
11364a36003432
12146378b64430
13756456c5406
14377480878d6
151b93892ab39
hexee3bb68764

1023204034404 has 288 divisors, whose sum is σ = 2966100883200. Its totient is φ = 295343677440.

The previous prime is 1023204034403. The next prime is 1023204034427. The reversal of 1023204034404 is 4044304023201.

It is a happy number.

1023204034404 is a `hidden beast` number, since 1 + 0 + 23 + 204 + 0 + 34 + 404 = 666.

It is a super-3 number, since 3×10232040344043 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023204034403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271477032 + ... + 271480800.

It is an arithmetic number, because the mean of its divisors is an integer number (10298961400).

Almost surely, 21023204034404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023204034404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483050441600).

1023204034404 is an abundant number, since it is smaller than the sum of its proper divisors (1942896848796).

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

1023204034404 is a wasteful number, since it uses less digits than its factorization.

1023204034404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1023204034404 its reverse (4044304023201), we get a palindrome (5067508057605).

The spelling of 1023204034404 in words is "one trillion, twenty-three billion, two hundred four million, thirty-four thousand, four hundred four".