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13943834398494 = 232711213194936097
BaseRepresentation
bin1100101011101000110101…
…0010111100111100011110
31211101000110210102202220100
43022322031102330330132
53311423433101222434
645353413055201530
72636260133540160
oct312721522747436
954330423382810
1013943834398494
114496602003a00
1216924a9b162a6
137a1b89a16210
14362c56d42930
15192aa010d699
hexcae8d4bcf1e

13943834398494 has 288 divisors, whose sum is σ = 40893287198400. Its totient is φ = 3341369180160.

The previous prime is 13943834398493. The next prime is 13943834398517. The reversal of 13943834398494 is 49489343834931.

13943834398494 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 3 + 8 + 3 + 43 + 98 + 494 = 666.

It is a super-3 number, since 3×139438343984943 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13943834398493) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386269854 + ... + 386305950.

It is an arithmetic number, because the mean of its divisors is an integer number (141990580550).

Almost surely, 213943834398494 is an apocalyptic number.

13943834398494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13943834398494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446643599200).

13943834398494 is an abundant number, since it is smaller than the sum of its proper divisors (26949452799906).

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

13943834398494 is a wasteful number, since it uses less digits than its factorization.

13943834398494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38096 (or 38082 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 72.

The spelling of 13943834398494 in words is "thirteen trillion, nine hundred forty-three billion, eight hundred thirty-four million, three hundred ninety-eight thousand, four hundred ninety-four".