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5145314000 = 245319135403
BaseRepresentation
bin1001100101010111…
…10100001011010000
3111021120211000220012
410302223310023100
541014200022000
62210321534052
7241335306311
oct46253641320
914246730805
105145314000
112200439622
12bb71a4328
1363cca98c8
1436b4ca608
15201aac735
hex132af42d0

5145314000 has 80 divisors (see below), whose sum is σ = 13096274880. Its totient is φ = 1949788800.

The previous prime is 5145313997. The next prime is 5145314021. The reversal of 5145314000 is 4135415.

It is a tau number, because it is divible by the number of its divisors (80).

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, 29702 + ... + 105701.

It is an arithmetic number, because the mean of its divisors is an integer number (163703436).

Almost surely, 25145314000 is an apocalyptic number.

5145314000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5145314000 is an abundant number, since it is smaller than the sum of its proper divisors (7950960880).

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

5145314000 is a wasteful number, since it uses less digits than its factorization.

5145314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135445 (or 135429 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5145314000 is about 71730.8441327718. The cubic root of 5145314000 is about 1726.3835710716.

Adding to 5145314000 its reverse (4135415), we get a palindrome (5149449415).

The spelling of 5145314000 in words is "five billion, one hundred forty-five million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 135403 270806 541612 677015 1083224 1354030 2166448 2572657 2708060 3385075 5145314 5416120 6770150 10290628 10832240 12863285 13540300 16925375 20581256 25726570 27080600 33850750 41162512 51453140 54161200 64316425 67701500 102906280 128632850 135403000 205812560 257265700 270806000 321582125 514531400 643164250 1029062800 1286328500 2572657000 5145314000