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14840045123904 = 26327112133317069
BaseRepresentation
bin1101011111110011011110…
…0111100011100101000000
31221112200202021000202121100
43113330313213203211000
53421114403022431104
651321231141254400
73061105103162010
oct327746747434500
957480667022540
1014840045123904
11480169a658700
1217b8125104400
138385444219c0
14394394d89c40
151ab054b3c139
hexd7f379e3940

14840045123904 has 1008 divisors, whose sum is σ = 57726368103040. Its totient is φ = 3546801561600.

The previous prime is 14840045123887. The next prime is 14840045123929. The reversal of 14840045123904 is 40932154004841.

14840045123904 is a `hidden beast` number, since 1 + 4 + 8 + 40 + 0 + 4 + 512 + 3 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 14840045123904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2099309682 + ... + 2099316750.

Almost surely, 214840045123904 is an apocalyptic number.

14840045123904 is a gapful number since it is divisible by the number (14) 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 14840045123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28863184051520).

14840045123904 is an abundant number, since it is smaller than the sum of its proper divisors (42886322979136).

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

14840045123904 is a wasteful number, since it uses less digits than its factorization.

14840045123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14840045123904 in words is "fourteen trillion, eight hundred forty billion, forty-five million, one hundred twenty-three thousand, nine hundred four".