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3158140285440 = 293557319241
BaseRepresentation
bin101101111101001111110…
…101000111001000000000
3102011220201020010010200000
4231331033311013020000
5403220332403113230
610414455110400000
7444111442335000
oct55751765071000
912156636103600
103158140285440
1110083a5949858
1243009a960000
1319ba716cc6ba
14acbd782c000
155723ccceb60
hex2df4fd47200

3158140285440 has 2880 divisors, whose sum is σ = 14300872185600. Its totient is φ = 667188264960.

The previous prime is 3158140285369. The next prime is 3158140285453. The reversal of 3158140285440 is 445820418513.

3158140285440 is a `hidden beast` number, since 3 + 1 + 5 + 81 + 4 + 0 + 28 + 544 + 0 = 666.

3158140285440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77027811820 + ... + 77027811860.

It is an arithmetic number, because the mean of its divisors is an integer number (4965580620).

Almost surely, 23158140285440 is an apocalyptic number.

3158140285440 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 3158140285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150436092800).

3158140285440 is an abundant number, since it is smaller than the sum of its proper divisors (11142731900160).

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

3158140285440 is an frugal number, since it uses more digits than its factorization.

3158140285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 3158140285440 in words is "three trillion, one hundred fifty-eight billion, one hundred forty million, two hundred eighty-five thousand, four hundred forty".