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13884027949440 = 27325112127227691
BaseRepresentation
bin1100101000001010000010…
…0011011101000110000000
31211011022002210001101010200
43022002200203131012000
53304433442123340230
645310122343325200
72632042104240015
oct312024043350600
954138083041120
1013884027949440
114473201904600
121682998a50800
137993483c5b1c
1435ddc207370c
1519124e88e160
hexca0a08dd180

13884027949440 has 1152 divisors, whose sum is σ = 53424114831360. Its totient is φ = 3319800422400.

The previous prime is 13884027949433. The next prime is 13884027949481. The reversal of 13884027949440 is 4494972048831.

13884027949440 is a `hidden beast` number, since 1 + 3 + 8 + 84 + 0 + 2 + 79 + 49 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 20092659495 + ... + 20092660185.

It is an arithmetic number, because the mean of its divisors is an integer number (46375099680).

Almost surely, 213884027949440 is an apocalyptic number.

13884027949440 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 13884027949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712057415680).

13884027949440 is an abundant number, since it is smaller than the sum of its proper divisors (39540086881920).

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

13884027949440 is a wasteful number, since it uses less digits than its factorization.

13884027949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 13884027949440 in words is "thirteen trillion, eight hundred eighty-four billion, twenty-seven million, nine hundred forty-nine thousand, four hundred forty".