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3141140625 = 325673191
BaseRepresentation
bin1011101100111010…
…0000000010010001
322002220121110212200
42323032200002101
522413113000000
61235405313413
7140561153250
oct27316400221
98086543780
103141140625
111372101497
12737b65869
133b0a00abc
1421b266797
15135b73500
hexbb3a0091

3141140625 has 84 divisors (see below), whose sum is σ = 6483667008. Its totient is φ = 1435500000.

The previous prime is 3141140603. The next prime is 3141140701. The reversal of 3141140625 is 5260411413.

It is a happy number.

3141140625 is a `hidden beast` number, since 31 + 4 + 1 + 1 + 4 + 0 + 625 = 666.

It is not a de Polignac number, because 3141140625 - 25 = 3141140593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 982780 + ... + 985970.

It is an arithmetic number, because the mean of its divisors is an integer number (77186512).

Almost surely, 23141140625 is an apocalyptic number.

3141140625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3141140625 is an abundant number, since it is smaller than the sum of its proper divisors (3342526383).

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

3141140625 is an frugal number, since it uses more digits than its factorization.

3141140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3141140625 is about 56045.8796433779. The cubic root of 3141140625 is about 1464.5216398418.

The spelling of 3141140625 in words is "three billion, one hundred forty-one million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 625 875 1125 1575 1875 2625 3125 3191 4375 5625 7875 9375 9573 13125 15625 15955 21875 22337 28125 28719 39375 46875 47865 65625 67011 79775 109375 111685 140625 143595 196875 201033 239325 328125 335055 398875 558425 717975 984375 1005165 1196625 1675275 1994375 2792125 3589875 5025825 5983125 8376375 9971875 13960625 17949375 25129125 29915625 41881875 49859375 69803125 89746875 125645625 149578125 209409375 349015625 448734375 628228125 1047046875 3141140625