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14006740000000 = 28571163667
BaseRepresentation
bin1100101111010011001011…
…0000110001110100000000
31211121000211210102102121011
43023310302300301310000
53313441300420000000
645442335120410304
72643645034405246
oct313646260616400
954530753372534
1014006740000000
114510252636420
1216a2724a76994
137a7aa3425927
14365d03668796
151945329aa2ba
hexcbd32c31d00

14006740000000 has 288 divisors, whose sum is σ = 38126091459456. Its totient is φ = 5093280000000.

The previous prime is 14006739999997. The next prime is 14006740000003. The reversal of 14006740000000 is 4760041.

It is an interprime number because it is at equal distance from previous prime (14006739999997) and next prime (14006740000003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14006740000003) 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 31 ways as a sum of consecutive naturals, for example, 219968167 + ... + 220031833.

It is an arithmetic number, because the mean of its divisors is an integer number (132382262012).

Almost surely, 214006740000000 is an apocalyptic number.

14006740000000 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 14006740000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19063045729728).

14006740000000 is an abundant number, since it is smaller than the sum of its proper divisors (24119351459456).

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

14006740000000 is an frugal number, since it uses more digits than its factorization.

14006740000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63729 (or 63685 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 14006740000000 its reverse (4760041), we get a palindrome (14006744760041).

The spelling of 14006740000000 in words is "fourteen trillion, six billion, seven hundred forty million", and thus it is an aban number.