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14718475941120 = 28365719233509
BaseRepresentation
bin1101011000101110100110…
…0001111011010100000000
31221010001221220011102000000
43112023221201323110000
53412121414320103440
651145324032000000
73046242361160460
oct326135141732400
957101856142000
1014718475941120
114765085a60306
121798657990000
13829c3c101813
1438c541491ba0
151a7cdc023730
hexd62e987b500

14718475941120 has 2016 divisors, whose sum is σ = 63987969427200. Its totient is φ = 3167245172736.

The previous prime is 14718475941079. The next prime is 14718475941131. The reversal of 14718475941120 is 2114957481741.

14718475941120 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 8 + 47 + 594 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28916455426 + ... + 28916455934.

It is an arithmetic number, because the mean of its divisors is an integer number (31740064200).

Almost surely, 214718475941120 is an apocalyptic number.

14718475941120 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 14718475941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31993984713600).

14718475941120 is an abundant number, since it is smaller than the sum of its proper divisors (49269493486080).

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

14718475941120 is an equidigital number, since it uses as much as digits as its factorization.

14718475941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 14718475941120 in words is "fourteen trillion, seven hundred eighteen billion, four hundred seventy-five million, nine hundred forty-one thousand, one hundred twenty".