Search a number
-
+
1345405433130 = 23251119179399587
BaseRepresentation
bin10011100101000000011…
…010011011010100101010
311202121201121200102222200
4103211000122123110222
5134020342242330010
62510023135401030
7166126254330423
oct23450032332452
94677647612880
101345405433130
11479646324140
121988b9683176
1399b42cccb35
14491919d464a
1524ee524bcc0
hex1394069b52a

1345405433130 has 192 divisors, whose sum is σ = 4039355174400. Its totient is φ = 307265650560.

The previous prime is 1345405433089. The next prime is 1345405433167. The reversal of 1345405433130 is 313345045431.

1345405433130 is a `hidden beast` number, since 1 + 3 + 4 + 54 + 0 + 543 + 31 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3167197 + ... + 3566783.

It is an arithmetic number, because the mean of its divisors is an integer number (21038308200).

Almost surely, 21345405433130 is an apocalyptic number.

1345405433130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345405433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019677587200).

1345405433130 is an abundant number, since it is smaller than the sum of its proper divisors (2693949741270).

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

1345405433130 is a wasteful number, since it uses less digits than its factorization.

1345405433130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399809 (or 399806 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 1345405433130 in words is "one trillion, three hundred forty-five billion, four hundred five million, four hundred thirty-three thousand, one hundred thirty".