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1304713912320 = 213325713192389
BaseRepresentation
bin10010111111000111000…
…000100110000000000000
311121201200202102000021100
4102333013000212000000
5132334023230143240
62435213255054400
7163156012162110
oct22770700460000
94551622360240
101304713912320
11463364a982a5
12190a42071400
13960598b9780
1447211659040
1523e12bb9e30
hex12fc7026000

1304713912320 has 2688 divisors, whose sum is σ = 6182865561600. Its totient is φ = 246650241024.

The previous prime is 1304713912309. The next prime is 1304713912379. The reversal of 1304713912320 is 232193174031.

1304713912320 is a `hidden beast` number, since 1 + 30 + 4 + 7 + 1 + 391 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14659706836 + ... + 14659706924.

It is an arithmetic number, because the mean of its divisors is an integer number (2300173200).

Almost surely, 21304713912320 is an apocalyptic number.

1304713912320 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 1304713912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091432780800).

1304713912320 is an abundant number, since it is smaller than the sum of its proper divisors (4878151649280).

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

1304713912320 is a wasteful number, since it uses less digits than its factorization.

1304713912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1304713912320 in words is "one trillion, three hundred four billion, seven hundred thirteen million, nine hundred twelve thousand, three hundred twenty".