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13944239989680 = 243572111373971171
BaseRepresentation
bin1100101011101010010101…
…1110001010001110110000
31211101001112001121221102010
43022322211132022032300
53311430300414132210
645353521224322520
72636303160156600
oct312724536121660
954331461557363
1013944239989680
11449679aa48630
1216925a1913440
137a1c22a646c0
14362c94b60c00
15192ac5a28920
hexcaea578a3b0

13944239989680 has 1920 divisors, whose sum is σ = 60553950299136. Its totient is φ = 2608555622400.

The previous prime is 13944239989661. The next prime is 13944239989733. The reversal of 13944239989680 is 8698993244931.

13944239989680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11907975495 + ... + 11907976665.

Almost surely, 213944239989680 is an apocalyptic number.

13944239989680 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 13944239989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30276975149568).

13944239989680 is an abundant number, since it is smaller than the sum of its proper divisors (46609710309456).

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

13944239989680 is a wasteful number, since it uses less digits than its factorization.

13944239989680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 75.

The spelling of 13944239989680 in words is "thirteen trillion, nine hundred forty-four billion, two hundred thirty-nine million, nine hundred eighty-nine thousand, six hundred eighty".