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1399493055312 = 24321123273137167
BaseRepresentation
bin10100010111011000010…
…010010101001101010000
311221210100002002100002200
4110113120102111031100
5140412130210232222
62550530201043200
7203052512460132
oct24273022251520
94853302070080
101399493055312
1149a581388240
121a7293486500
13a1c8288cac1
144ba43167052
152660d8c3eac
hex145d8495350

1399493055312 has 720 divisors, whose sum is σ = 4588085593728. Its totient is φ = 394794639360.

The previous prime is 1399493055307. The next prime is 1399493055341. The reversal of 1399493055312 is 2135503949931.

1399493055312 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 49 + 30 + 553 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8380197853 + ... + 8380198019.

Almost surely, 21399493055312 is an apocalyptic number.

1399493055312 is a gapful number since it is divisible by the number (12) 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 1399493055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294042796864).

1399493055312 is an abundant number, since it is smaller than the sum of its proper divisors (3188592538416).

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

1399493055312 is a wasteful number, since it uses less digits than its factorization.

1399493055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 1399493055312 in words is "one trillion, three hundred ninety-nine billion, four hundred ninety-three million, fifty-five thousand, three hundred twelve".