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14001301323000 = 2332531741893567
BaseRepresentation
bin1100101110111110111010…
…0101110111110011111000
31211120111210202121000022200
43023233232211313303320
53313344131114314000
645440035314550200
72643363204411135
oct313575645676370
954514722530280
1014001301323000
114508a11646942
1216a1667598360
137a7417733164
1436594921558c
151943152a0500
hexcbbee977cf8

14001301323000 has 192 divisors, whose sum is σ = 47351633771520. Its totient is φ = 3731531616000.

The previous prime is 14001301322951. The next prime is 14001301323011. The reversal of 14001301323000 is 32310310041.

14001301323000 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 301 + 323 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15222217 + ... + 16115783.

It is an arithmetic number, because the mean of its divisors is an integer number (246623092560).

Almost surely, 214001301323000 is an apocalyptic number.

14001301323000 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 14001301323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675816885760).

14001301323000 is an abundant number, since it is smaller than the sum of its proper divisors (33350332448520).

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

14001301323000 is a wasteful number, since it uses less digits than its factorization.

14001301323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895335 (or 895318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 14001301323000 its reverse (32310310041), we get a palindrome (14033611633041).

The spelling of 14001301323000 in words is "fourteen trillion, one billion, three hundred one million, three hundred twenty-three thousand".