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2003442144 = 253111897199
BaseRepresentation
bin111011101101010…
…0001100111100000
312011121211101221220
41313122201213200
513100340122034
6530444415040
7100434656124
oct16732414740
95147741856
102003442144
11938988810
1247ab47480
1325c0b1032
14150113584
15bad42749
hex776a19e0

2003442144 has 48 divisors (see below), whose sum is σ = 5737132800. Its totient is φ = 607103360.

The previous prime is 2003442101. The next prime is 2003442151. The reversal of 2003442144 is 4412443002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 947544 + ... + 949655.

It is an arithmetic number, because the mean of its divisors is an integer number (119523600).

Almost surely, 22003442144 is an apocalyptic number.

2003442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2003442144 is an abundant number, since it is smaller than the sum of its proper divisors (3733690656).

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

2003442144 is a wasteful number, since it uses less digits than its factorization.

2003442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897223 (or 1897215 counting only the distinct ones).

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

The square root of 2003442144 is about 44759.8273455115. The cubic root of 2003442144 is about 1260.6434405715.

Adding to 2003442144 its reverse (4412443002), we get a palindrome (6415885146).

The spelling of 2003442144 in words is "two billion, three million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1897199 3794398 5691597 7588796 11383194 15177592 20869189 22766388 30355184 41738378 45532776 60710368 62607567 83476756 91065552 125215134 166953512 182131104 250430268 333907024 500860536 667814048 1001721072 2003442144