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1345110230016 = 21034721917419
BaseRepresentation
bin10011100100101110110…
…100010100010000000000
311202120222001012120110000
4103210232310110100000
5134014241204330031
62505533552240000
7166116041210100
oct23445664242000
94676861176400
101345110230016
11479504726723
12198836840000
1399ac6ac1537
144916470d200
1524ec93893e6
hex1392ed14400

1345110230016 has 660 divisors, whose sum is σ = 4918766595600. Its totient is φ = 364069085184.

The previous prime is 1345110230003. The next prime is 1345110230021. The reversal of 1345110230016 is 6100320115431.

It is a happy number.

1345110230016 is a `hidden beast` number, since 1 + 345 + 1 + 1 + 0 + 2 + 300 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77212155 + ... + 77229573.

It is an arithmetic number, because the mean of its divisors is an integer number (7452676660).

Almost surely, 21345110230016 is an apocalyptic number.

1345110230016 is a gapful number since it is divisible by the number (16) 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 1345110230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459383297800).

1345110230016 is an abundant number, since it is smaller than the sum of its proper divisors (3573656365584).

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

1345110230016 is a wasteful number, since it uses less digits than its factorization.

1345110230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484 (or 17450 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1345110230016 its reverse (6100320115431), we get a palindrome (7445430345447).

The spelling of 1345110230016 in words is "one trillion, three hundred forty-five billion, one hundred ten million, two hundred thirty thousand, sixteen".