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3005144000 = 2653375643
BaseRepresentation
bin1011001100011110…
…1101101111000000
321202102201010120122
42303013231233000
522123304102000
61214110355412
7134320205525
oct26307555700
97672633518
103005144000
111302364191
126ba4bbb68
1338b795a21
1420718514c
15128c5d085
hexb31edbc0

3005144000 has 56 divisors (see below), whose sum is σ = 7442258928. Its totient is φ = 1202054400.

The previous prime is 3005143961. The next prime is 3005144017. The reversal of 3005144000 is 4415003.

It is a self number, because there is not a number n which added to its sum of digits gives 3005144000.

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 7 ways as a sum of consecutive naturals, for example, 179822 + ... + 195821.

Almost surely, 23005144000 is an apocalyptic number.

It is an amenable number.

3005144000 is an abundant number, since it is smaller than the sum of its proper divisors (4437114928).

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

3005144000 is an equidigital number, since it uses as much as digits as its factorization.

3005144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375670 (or 375650 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3005144000 is about 54819.1937189886. The cubic root of 3005144000 is about 1443.0734253622.

Adding to 3005144000 its reverse (4415003), we get a palindrome (3009559003).

The spelling of 3005144000 in words is "three billion, five million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 375643 751286 1502572 1878215 3005144 3756430 6010288 7512860 9391075 12020576 15025720 18782150 24041152 30051440 37564300 46955375 60102880 75128600 93910750 120205760 150257200 187821500 300514400 375643000 601028800 751286000 1502572000 3005144000