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14065315050 = 2352374358937
BaseRepresentation
bin11010001100101101…
…11010110011101010
31100022020101000222110
431012112322303222
5212301210040200
610243404303150
71005360130263
oct150626726352
940266330873
1014065315050
115a6855a416
122886541ab6
131431cca137
1497603996a
15574c35b50
hex3465bacea

14065315050 has 96 divisors (see below), whose sum is σ = 36658492992. Its totient is φ = 3564449280.

The previous prime is 14065315039. The next prime is 14065315067. The reversal of 14065315050 is 5051356041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14065314999 and 14065315017.

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 47 ways as a sum of consecutive naturals, for example, 209182 + ... + 268118.

It is an arithmetic number, because the mean of its divisors is an integer number (381859302).

Almost surely, 214065315050 is an apocalyptic number.

14065315050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14065315050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329246496).

14065315050 is an abundant number, since it is smaller than the sum of its proper divisors (22593177942).

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

14065315050 is a wasteful number, since it uses less digits than its factorization.

14065315050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59032 (or 59027 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 14065315050 in words is "fourteen billion, sixty-five million, three hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 43 50 74 75 86 111 129 150 185 215 222 258 370 430 555 645 925 1075 1110 1290 1591 1850 2150 2775 3182 3225 4773 5550 6450 7955 9546 15910 23865 39775 47730 58937 79550 117874 119325 176811 238650 294685 353622 589370 884055 1473425 1768110 2180669 2534291 2946850 4361338 4420275 5068582 6542007 7602873 8840550 10903345 12671455 13084014 15205746 21806690 25342910 32710035 38014365 54516725 63357275 65420070 76028730 93768767 109033450 126714550 163550175 187537534 190071825 281306301 327100350 380143650 468843835 562612602 937687670 1406531505 2344219175 2813063010 4688438350 7032657525 14065315050