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13394362330944 = 2632729313695233
BaseRepresentation
bin1100001011101001111000…
…1101010110111101000000
31202102111012010210122012200
43002322132031112331000
53223423123224042234
644253141325553200
72551465533166440
oct302723615267500
952374163718180
1013394362330944
1142a4576388971
121603b00a15800
137621103106ba
1434440d576120
15183641169d99
hexc2e9e356f40

13394362330944 has 336 divisors, whose sum is σ = 46854384645120. Its totient is φ = 3575802101760.

The previous prime is 13394362330939. The next prime is 13394362330991. The reversal of 13394362330944 is 44903326349331.

13394362330944 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 4 + 3 + 623 + 3 + 0 + 9 + 4 + 4 = 666.

13394362330944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×133943623309442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777152 + ... + 5472384.

Almost surely, 213394362330944 is an apocalyptic number.

13394362330944 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 13394362330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23427192322560).

13394362330944 is an abundant number, since it is smaller than the sum of its proper divisors (33460022314176).

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

13394362330944 is a wasteful number, since it uses less digits than its factorization.

13394362330944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695318 (or 3695305 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 54.

The spelling of 13394362330944 in words is "thirteen trillion, three hundred ninety-four billion, three hundred sixty-two million, three hundred thirty thousand, nine hundred forty-four".