Search a number
-
+
14282850312 = 2333275324019
BaseRepresentation
bin11010100110101001…
…10000000000001000
31100212101200222021000
431103110300000020
5213222402202222
610321135015000
71013641140003
oct152324600010
940771628230
1014282850312
11606a329925
12292736a460
1314680b3a23
14996ca453a
15588da59ac
hex353530008

14282850312 has 64 divisors (see below), whose sum is σ = 39690648000. Its totient is φ = 4759022592.

The previous prime is 14282850269. The next prime is 14282850319. The reversal of 14282850312 is 21305828241.

It is a happy number.

14282850312 is a `hidden beast` number, since 14 + 282 + 8 + 50 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14282850319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582639 + ... + 606657.

It is an arithmetic number, because the mean of its divisors is an integer number (620166375).

Almost surely, 214282850312 is an apocalyptic number.

14282850312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14282850312 is an abundant number, since it is smaller than the sum of its proper divisors (25407797688).

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

14282850312 is a wasteful number, since it uses less digits than its factorization.

14282850312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26787 (or 26777 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14282850312 in words is "fourteen billion, two hundred eighty-two million, eight hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2753 5506 8259 11012 16518 22024 24019 24777 33036 48038 49554 66072 72057 74331 96076 99108 144114 148662 192152 198216 216171 288228 297324 432342 576456 594648 648513 864684 1297026 1729368 2594052 5188104 66124307 132248614 198372921 264497228 396745842 528994456 595118763 793491684 1190237526 1586983368 1785356289 2380475052 3570712578 4760950104 7141425156 14282850312