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415242338449 = 307220992
BaseRepresentation
bin1100000101011100101…
…11110100000010010001
31110200210221201101112111
412002232113310002101
523300404014312244
6514432032225321
742000043432351
oct6025627640221
91420727641474
10415242338449
11150115524924
126858799b241
1330207446713
141615266ab61
15ac04b2be34
hex60ae5f4091

415242338449 has 9 divisors (see below), whose sum is σ = 416797894857. Its totient is φ = 413692573284.

The previous prime is 415242338443. The next prime is 415242338479. The reversal of 415242338449 is 944833242514.

The square root of 415242338449 is 644393.

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

It is not a de Polignac number, because 415242338449 - 25 = 415242338417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415242338443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 197827602 + ... + 197829700.

Almost surely, 2415242338449 is an apocalyptic number.

415242338449 is the 644393-rd square number.

415242338449 is the 322197-th centered octagonal number.

It is an amenable number.

415242338449 is a deficient number, since it is larger than the sum of its proper divisors (1555556408).

415242338449 is an frugal number, since it uses more digits than its factorization.

415242338449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 2406 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

Multiplying 415242338449 by its sum of digits (49), we get a square (20346874584001 = 45107512).

The spelling of 415242338449 in words is "four hundred fifteen billion, two hundred forty-two million, three hundred thirty-eight thousand, four hundred forty-nine".

Divisors: 1 307 2099 94249 644393 4405801 197828651 1352580907 415242338449