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3142023323040 = 253257244529809
BaseRepresentation
bin101101101110001111001…
…011110001110110100000
3102010101010000012121121200
4231232033023301312200
5402434330432314130
610403231532121200
7443001160404300
oct55561713616640
912111100177550
103142023323040
111001585287418
12428b41306200
1319a3a3644064
14ac109131600
1556ae7dd3760
hex2db8f2f1da0

3142023323040 has 216 divisors, whose sum is σ = 12472710721380. Its totient is φ = 718176743424.

The previous prime is 3142023323017. The next prime is 3142023323057. The reversal of 3142023323040 is 403233202413.

3142023323040 is a `hidden beast` number, since 3 + 1 + 4 + 20 + 2 + 332 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2914299665424 + 227723657616 = 1707132^2 + 477204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3142023322995 and 3142023323013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22194345 + ... + 22335464.

Almost surely, 23142023323040 is an apocalyptic number.

3142023323040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142023323040 is an abundant number, since it is smaller than the sum of its proper divisors (9330687398340).

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

3142023323040 is a wasteful number, since it uses less digits than its factorization.

3142023323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44529844 (or 44529826 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3142023323040 its reverse (403233202413), we get a palindrome (3545256525453).

The spelling of 3142023323040 in words is "three trillion, one hundred forty-two billion, twenty-three million, three hundred twenty-three thousand, forty".