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1416278505625 = 5418122632
BaseRepresentation
bin10100100111000000110…
…001101111100010011001
312000101122212212120011121
4110213000301233202121
5141201014244140000
63002343535325241
7204215462445064
oct24470061574231
95011585776147
101416278505625
114a6705326525
121aa598980821
13a37292a3519
144c7965578db
1526c9231ab1a
hex149c0c6f899

1416278505625 has 45 divisors (see below), whose sum is σ = 1786405760139. Its totient is φ = 1122478740000.

The previous prime is 1416278505611. The next prime is 1416278505643. The reversal of 1416278505625 is 5265058726141.

The square root of 1416278505625 is 1190075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1371566557321 + 44711948304 = 1171139^2 + 211452^2 .

It is not a de Polignac number, because 1416278505625 - 27 = 1416278505497 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 5385089244 + ... + 5385089506.

Almost surely, 21416278505625 is an apocalyptic number.

1416278505625 is the 1190075-th square number.

1416278505625 is the 595038-th centered octagonal number.

It is an amenable number.

1416278505625 is a deficient number, since it is larger than the sum of its proper divisors (370127254514).

1416278505625 is an frugal number, since it uses more digits than its factorization.

1416278505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 1416278505625 in words is "one trillion, four hundred sixteen billion, two hundred seventy-eight million, five hundred five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 181 263 625 905 1315 4525 6575 22625 32761 32875 47603 69169 113125 163805 164375 238015 345845 819025 1190075 1729225 4095125 5950375 8616143 8646125 12519589 20475625 29751875 43080715 43230625 62597945 215403575 312989725 1077017875 1564948625 2266045609 5385089375 7824743125 11330228045 56651140225 283255701125 1416278505625