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3453000000000 = 293591151
BaseRepresentation
bin110010001111110110110…
…101101010001000000000
3110020002210111200121101220
4302033312311222020000
5423033221000000000
611202141501355040
7504320362503405
oct62176665521000
913202714617356
103453000000000
111111455531571
1247926a868a80
131c08025c2495
14bd1a9dd22ac
155ec490761a0
hex323f6d6a200

3453000000000 has 400 divisors, whose sum is σ = 11508748821504. Its totient is φ = 920000000000.

The previous prime is 3452999999989. The next prime is 3453000000013. The reversal of 3453000000000 is 3543.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2999999425 + ... + 3000000575.

Almost surely, 23453000000000 is an apocalyptic number.

3453000000000 is a gapful number since it is divisible by the number (30) 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 3453000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754374410752).

3453000000000 is an abundant number, since it is smaller than the sum of its proper divisors (8055748821504).

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

3453000000000 is an frugal number, since it uses more digits than its factorization.

3453000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 3453000000000 its reverse (3543), we get a palindrome (3453000003543).

The spelling of 3453000000000 in words is "three trillion, four hundred fifty-three billion", and thus it is an aban number.