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3340149342192 = 243513280123593
BaseRepresentation
bin110000100110110000011…
…010100011111111110000
3102211022111202021012200000
4300212300122203333300
5414211111212422232
611034235440230000
7463214004650265
oct60466032437760
912738452235600
103340149342192
111078605254013
1245b41530b300
131b2c8963c710
14b794239d26c
155bd41a8927c
hex309b06a3ff0

3340149342192 has 240 divisors, whose sum is σ = 10443854654688. Its totient is φ = 1027327795200.

The previous prime is 3340149342161. The next prime is 3340149342203. The reversal of 3340149342192 is 2912439410433.

3340149342192 is a `hidden beast` number, since 3 + 3 + 40 + 14 + 93 + 421 + 92 = 666.

3340149342192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33401493421922 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141561948 + ... + 141585540.

Almost surely, 23340149342192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340149342192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221927327344).

3340149342192 is an abundant number, since it is smaller than the sum of its proper divisors (7103705312496).

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

3340149342192 is a wasteful number, since it uses less digits than its factorization.

3340149342192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26430 (or 26412 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3340149342192 in words is "three trillion, three hundred forty billion, one hundred forty-nine million, three hundred forty-two thousand, one hundred ninety-two".