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1044240230200 = 235229318156599
BaseRepresentation
bin11110011001000011001…
…00010110011100111000
310200211100220012222022111
433030201210112130320
5114102100444331300
62115414540102104
7135305150335006
oct17144144263470
93624326188274
101044240230200
11372950428712
1214a469b34934
137761897134b
1438781c1da76
151c26a6279ba
hexf321916738

1044240230200 has 96 divisors (see below), whose sum is σ = 2512411740000. Its totient is φ = 403158873600.

The previous prime is 1044240230183. The next prime is 1044240230203. The reversal of 1044240230200 is 20320424401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044240230203) 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 23 ways as a sum of consecutive naturals, for example, 18421501 + ... + 18478099.

It is an arithmetic number, because the mean of its divisors is an integer number (26170955625).

Almost surely, 21044240230200 is an apocalyptic number.

1044240230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044240230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256205870000).

1044240230200 is an abundant number, since it is smaller than the sum of its proper divisors (1468171509800).

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

1044240230200 is a wasteful number, since it uses less digits than its factorization.

1044240230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59825 (or 59816 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1044240230200 its reverse (20320424401), we get a palindrome (1064560654601).

The spelling of 1044240230200 in words is "one trillion, forty-four billion, two hundred forty million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 3181 5800 6362 12724 15905 25448 31810 56599 63620 79525 92249 113198 127240 159050 184498 226396 282995 318100 368996 452792 461245 565990 636200 737992 922490 1131980 1414975 1641371 1844980 2263960 2306225 2829950 3282742 3689960 4612450 5659900 6565484 8206855 9224900 11319800 13130968 16413710 18449800 32827420 41034275 65654840 82068550 164137100 180041419 328274200 360082838 720165676 900207095 1440331352 1800414190 3600828380 4501035475 5221201151 7201656760 9002070950 10442402302 18004141900 20884804604 26106005755 36008283800 41769609208 52212011510 104424023020 130530028775 208848046040 261060057550 522120115100 1044240230200