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14160212640 = 2538574147
BaseRepresentation
bin11010011000000001…
…11011001010100000
31100112211221100000000
431030000323022200
5213000003301030
610301034300000
71010621551530
oct151400731240
940484840000
1014160212640
116007086382
1228b2287600
131448875362
1498489d4c0
1557d22d860
hex34c03b2a0

14160212640 has 864 divisors, whose sum is σ = 59994514944. Its totient is φ = 3090493440.

The previous prime is 14160212623. The next prime is 14160212641. The reversal of 14160212640 is 4621206141.

14160212640 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 0 + 2 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14160212641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 301281097 + ... + 301281143.

It is an arithmetic number, because the mean of its divisors is an integer number (69438096).

Almost surely, 214160212640 is an apocalyptic number.

14160212640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14160212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29997257472).

14160212640 is an abundant number, since it is smaller than the sum of its proper divisors (45834302304).

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

14160212640 is an frugal number, since it uses more digits than its factorization.

14160212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14160212640 its reverse (4621206141), we get a palindrome (18781418781).

The spelling of 14160212640 in words is "fourteen billion, one hundred sixty million, two hundred twelve thousand, six hundred forty".