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1482652314000 = 243253111317311093
BaseRepresentation
bin10101100100110100111…
…101101110100110010000
312020201222120220101021200
4111210310331232212100
5143242432443022000
63053042052351200
7212055335505354
oct25446475564620
95221876811250
101482652314000
11521875640110
121bb421315500
13a9a7639a350
1451a91723464
15288793e4500
hex15934f6e990

1482652314000 has 1920 divisors, whose sum is σ = 6655470022656. Its totient is φ = 301916160000.

The previous prime is 1482652313977. The next prime is 1482652314041. The reversal of 1482652314000 is 4132562841.

It is a happy number.

1482652314000 is a `hidden beast` number, since 14 + 8 + 2 + 6 + 5 + 231 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1356497454 + ... + 1356498546.

Almost surely, 21482652314000 is an apocalyptic number.

1482652314000 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 1482652314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327735011328).

1482652314000 is an abundant number, since it is smaller than the sum of its proper divisors (5172817708656).

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

1482652314000 is a wasteful number, since it uses less digits than its factorization.

1482652314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1482652314000 its reverse (4132562841), we get a palindrome (1486784876841).

The spelling of 1482652314000 in words is "one trillion, four hundred eighty-two billion, six hundred fifty-two million, three hundred fourteen thousand".