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14293209336 = 2337421202087
BaseRepresentation
bin11010100111111000…
…10001000011111000
31100220010012021011120
431103330101003320
5213233030144321
610322145025240
71014125163150
oct152374210370
940803167146
1014293209336
1160751647aa
12292a925220
13146a29cb23
149983dd760
15589c4eec6
hex353f110f8

14293209336 has 64 divisors (see below), whose sum is σ = 40934945280. Its totient is φ = 4074053760.

The previous prime is 14293209319. The next prime is 14293209341. The reversal of 14293209336 is 63390239241.

14293209336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 30316 + ... + 171771.

It is an arithmetic number, because the mean of its divisors is an integer number (639608520).

Almost surely, 214293209336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14293209336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467472640).

14293209336 is an abundant number, since it is smaller than the sum of its proper divisors (26641735944).

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

14293209336 is a wasteful number, since it uses less digits than its factorization.

14293209336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202524 (or 202520 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 14293209336 in words is "fourteen billion, two hundred ninety-three million, two hundred nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 421 842 1263 1684 2526 2947 3368 5052 5894 8841 10104 11788 17682 23576 35364 70728 202087 404174 606261 808348 1212522 1414609 1616696 2425044 2829218 4243827 4850088 5658436 8487654 11316872 16975308 33950616 85078627 170157254 255235881 340314508 510471762 595550389 680629016 1020943524 1191100778 1786651167 2041887048 2382201556 3573302334 4764403112 7146604668 14293209336