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3001437144 = 2332194159907
BaseRepresentation
bin1011001011100110…
…0100101111011000
321202011201210201200
42302321210233120
522121331442034
61213455114200
7134243536416
oct26271445730
97664653650
103001437144
111300262172
126b9212960
1338aa98714
1420689c2b6
15128779a99
hexb2e64bd8

3001437144 has 192 divisors, whose sum is σ = 8923824000. Its totient is φ = 908029440.

The previous prime is 3001437139. The next prime is 3001437161. The reversal of 3001437144 is 4417341003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3308739 + ... + 3309645.

It is an arithmetic number, because the mean of its divisors is an integer number (46478250).

Almost surely, 23001437144 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 3001437144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461912000).

3001437144 is an abundant number, since it is smaller than the sum of its proper divisors (5922386856).

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

3001437144 is a wasteful number, since it uses less digits than its factorization.

3001437144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3001437144 is about 54785.3734494892. The cubic root of 3001437144 is about 1442.4798357993.

Adding to 3001437144 its reverse (4417341003), we get a palindrome (7418778147).

The spelling of 3001437144 in words is "three billion, one million, four hundred thirty-seven thousand, one hundred forty-four".