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14205150431300 = 2252331342877001
BaseRepresentation
bin1100111010110110010011…
…1100100000100001000100
31212021222222100122122202202
43032231210330200201010
53330214122002300200
650113431144454032
72664200604266213
oct316554474404104
955258870578682
1014205150431300
114587409100084
12171507817a318
137c0703321cba
143717665ad07a
151997965e11d5
hexceb64f20844

14205150431300 has 36 divisors (see below), whose sum is σ = 30834481464276. Its totient is φ = 5680344960000.

The previous prime is 14205150431299. The next prime is 14205150431309. The reversal of 14205150431300 is 313405150241.

It can be written as a sum of positive squares in 6 ways, for example, as 1969874004484 + 12235276426816 = 1403522^2 + 3497896^2 .

It is not an unprimeable number, because it can be changed into a prime (14205150431309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21107201 + ... + 21769800.

Almost surely, 214205150431300 is an apocalyptic number.

14205150431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14205150431300 is an abundant number, since it is smaller than the sum of its proper divisors (16629331032976).

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

14205150431300 is a wasteful number, since it uses less digits than its factorization.

14205150431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42880328 (or 42880321 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 14205150431300 its reverse (313405150241), we get a palindrome (14518555581541).

The spelling of 14205150431300 in words is "fourteen trillion, two hundred five billion, one hundred fifty million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3313 6626 13252 16565 33130 66260 82825 165650 331300 42877001 85754002 171508004 214385005 428770010 857540020 1071925025 2143850050 4287700100 142051504313 284103008626 568206017252 710257521565 1420515043130 2841030086260 3551287607825 7102575215650 14205150431300