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431243420025 = 3521125128297
BaseRepresentation
bin1100100011010000001…
…11000110000101111001
31112020010002120112222110
412101220013012011321
524031141303420100
6530035511042533
743104420406065
oct6215007060571
91466102515873
10431243420025
11156986739290
126b6b2670449
13318874bb022
1416c2d800aa5
15b33e788250
hex64681c6179

431243420025 has 72 divisors (see below), whose sum is σ = 781011610272. Its totient is φ = 208229600000.

The previous prime is 431243420021. The next prime is 431243420029. The reversal of 431243420025 is 520024342134.

It is an interprime number because it is at equal distance from previous prime (431243420021) and next prime (431243420029).

It is not a de Polignac number, because 431243420025 - 22 = 431243420021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431243419974 and 431243420001.

It is not an unprimeable number, because it can be changed into a prime (431243420021) 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 71 ways as a sum of consecutive naturals, for example, 51971677 + ... + 51979973.

It is an arithmetic number, because the mean of its divisors is an integer number (10847383476).

Almost surely, 2431243420025 is an apocalyptic number.

It is an amenable number.

431243420025 is a deficient number, since it is larger than the sum of its proper divisors (349768190247).

431243420025 is a wasteful number, since it uses less digits than its factorization.

431243420025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 431243420025 its reverse (520024342134), we get a palindrome (951267762159).

The spelling of 431243420025 in words is "four hundred thirty-one billion, two hundred forty-three million, four hundred twenty thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 251 275 753 825 1255 2761 3765 6275 8283 8297 13805 18825 24891 41415 41485 63001 69025 91267 124455 189003 207075 207425 273801 315005 456335 622275 693011 945015 1369005 1575025 2079033 2082547 2281675 3465055 4725075 6247641 6845025 10395165 10412735 17325275 22908017 31238205 51975825 52063675 68724051 114540085 156191025 343620255 522719297 572700425 1568157891 1718101275 2613596485 5749912267 7840789455 13067982425 17249736801 28749561335 39203947275 86248684005 143747806675 431243420025