Search a number
-
+
540114450000 = 243553600763
BaseRepresentation
bin1111101110000010101…
…01000111011001010000
31220122010111121220121220
413313001111013121100
532322123244400000
61052043011045040
754010353034536
oct7670125073120
91818114556556
10540114450000
11199074587514
12888172a0780
133bc17b33018
141c1daaa4156
15e0b26c61a0
hex7dc1547650

540114450000 has 120 divisors (see below), whose sum is σ = 1744008438816. Its totient is φ = 144030480000.

The previous prime is 540114449981. The next prime is 540114450037. The reversal of 540114450000 is 54411045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650382 + ... + 1950381.

Almost surely, 2540114450000 is an apocalyptic number.

540114450000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540114450000 is an abundant number, since it is smaller than the sum of its proper divisors (1203893988816).

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

540114450000 is an equidigital number, since it uses as much as digits as its factorization.

540114450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600799 (or 3600773 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 540114450000 its reverse (54411045), we get a palindrome (540168861045).

The spelling of 540114450000 in words is "five hundred forty billion, one hundred fourteen million, four hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 75000 150000 3600763 7201526 10802289 14403052 18003815 21604578 28806104 36007630 43209156 54011445 57612208 72015260 86418312 90019075 108022890 144030520 172836624 180038150 216045780 270057225 288061040 360076300 432091560 450095375 540114450 720152600 864183120 900190750 1080228900 1350286125 1440305200 1800381500 2160457800 2250476875 2700572250 3600763000 4320915600 4500953750 5401144500 6751430625 7201526000 9001907500 10802289000 11252384375 13502861250 18003815000 21604578000 22504768750 27005722500 33757153125 36007630000 45009537500 54011445000 67514306250 90019075000 108022890000 135028612500 180038150000 270057225000 540114450000