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2003244144 = 2431119719259
BaseRepresentation
bin111011101100111…
…0001010001110000
312011121110100100120
41313121301101300
513100312303034
6530440250240
7100433202636
oct16731612160
95147410316
102003244144
11938862a80
1247aa70980
1325c041b85
141500a1356
15bad03c49
hex77671470

2003244144 has 80 divisors (see below), whose sum is σ = 5674458240. Its totient is φ = 603930880.

The previous prime is 2003244137. The next prime is 2003244161. The reversal of 2003244144 is 4414423002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94387 + ... + 113645.

It is an arithmetic number, because the mean of its divisors is an integer number (70930728).

Almost surely, 22003244144 is an apocalyptic number.

2003244144 is a gapful number since it is divisible by the number (24) 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 2003244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837229120).

2003244144 is an abundant number, since it is smaller than the sum of its proper divisors (3671214096).

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

2003244144 is a wasteful number, since it uses less digits than its factorization.

2003244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19478 (or 19472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2003244144 is about 44757.6154860824. The cubic root of 2003244144 is about 1260.6019094455.

Adding to 2003244144 its reverse (4414423002), we get a palindrome (6417667146).

The spelling of 2003244144 in words is "two billion, three million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 197 264 394 528 591 788 1182 1576 2167 2364 3152 4334 4728 6501 8668 9456 13002 17336 19259 26004 34672 38518 52008 57777 77036 104016 115554 154072 211849 231108 308144 423698 462216 635547 847396 924432 1271094 1694792 2542188 3389584 3794023 5084376 7588046 10168752 11382069 15176092 22764138 30352184 41734253 45528276 60704368 83468506 91056552 125202759 166937012 182113104 250405518 333874024 500811036 667748048 1001622072 2003244144