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12343080145984 = 267243214592
BaseRepresentation
bin1011001110011101100011…
…1010000101010001000000
31121200222122110220021222221
42303213120322011101000
53104212112004132414
642130155512140424
72412521014103200
oct263473072052100
947628573807887
1012343080145984
113a29741a60435
121474208697714
136b6c41766c23
143095a03d8400
151661126dc224
hexb39d8e85440

12343080145984 has 189 divisors, whose sum is σ = 29190231693207. Its totient is φ = 5163329380608.

The previous prime is 12343080145951. The next prime is 12343080145997. The reversal of 12343080145984 is 48954108034321.

The square root of 12343080145984 is 3513272.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 8459958247 + ... + 8459959705.

Almost surely, 212343080145984 is an apocalyptic number.

12343080145984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12343080145984 is the 3513272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343080145984

12343080145984 is an abundant number, since it is smaller than the sum of its proper divisors (16847151547223).

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

12343080145984 is an frugal number, since it uses more digits than its factorization.

12343080145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 12343080145984 in words is "twelve trillion, three hundred forty-three billion, eighty million, one hundred forty-five thousand, nine hundred eighty-four".