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430071082425 = 325229531243609
BaseRepresentation
bin1100100001000100011…
…10111110110110111001
31112010002101121122010100
412100202032332312321
524021241144114200
6525323311510013
743033363612155
oct6204216766671
91463071548110
10430071082425
11156434a06736
126b425b28309
133172b66083a
1416b5bc32065
15b2c18b3d00
hex64223bedb9

430071082425 has 72 divisors (see below), whose sum is σ = 811903224600. Its totient is φ = 217283189760.

The previous prime is 430071082423. The next prime is 430071082447. The reversal of 430071082425 is 524280170034.

It is a happy number.

430071082425 is a `hidden beast` number, since 4 + 300 + 7 + 108 + 242 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 216981750969 + 213089331456 = 465813^2 + 461616^2 .

It is not a de Polignac number, because 430071082425 - 21 = 430071082423 is a prime.

It is a super-2 number, since 2×4300710824252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 430071082425.

It is not an unprimeable number, because it can be changed into a prime (430071082423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275980 + ... + 967629.

It is an arithmetic number, because the mean of its divisors is an integer number (11276433675).

Almost surely, 2430071082425 is an apocalyptic number.

430071082425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

430071082425 is a deficient number, since it is larger than the sum of its proper divisors (381832142175).

430071082425 is a wasteful number, since it uses less digits than its factorization.

430071082425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243707 (or 1243699 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 430071082425 in words is "four hundred thirty billion, seventy-one million, eighty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 53 75 87 145 159 225 261 265 435 477 725 795 1305 1325 1537 2175 2385 3975 4611 6525 7685 11925 13833 23055 38425 69165 115275 345825 1243609 3730827 6218045 11192481 18654135 31090225 36064661 55962405 65911277 93270675 108193983 180323305 197733831 279812025 324581949 329556385 540969915 593201493 901616525 988669155 1622909745 1647781925 1911427033 2704849575 2966007465 4943345775 5734281099 8114548725 9557135165 14830037325 17202843297 28671405495 47785675825 86014216485 143357027475 430071082425