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442253325343025 = 52723531022728393
BaseRepresentation
bin110010010001110100010000…
…0010110111001100100110001
32010222220000010122100202121102
41210203220200112321210301
5430431334302241434100
64204332212313334145
7162103514452260500
oct14443504026714461
92128800118322542
10442253325343025
11118a086446aa179
12417277a7a07355
1315ca0404352151
147b2d2648ba837
15361e055a4dcd5
hex1923a205b9931

442253325343025 has 36 divisors (see below), whose sum is σ = 639735019558092. Its totient is φ = 302400330946560.

The previous prime is 442253325343003. The next prime is 442253325343129. The reversal of 442253325343025 is 520343523352244.

It can be written as a sum of positive squares in 6 ways, for example, as 3065146571536 + 439188178771489 = 1750756^2 + 20956817^2 .

It is a de Polignac number, because none of the positive numbers 2k-442253325343025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 510931772 + ... + 511796621.

It is an arithmetic number, because the mean of its divisors is an integer number (17770417209947).

Almost surely, 2442253325343025 is an apocalyptic number.

It is an amenable number.

442253325343025 is a deficient number, since it is larger than the sum of its proper divisors (197481694215067).

442253325343025 is a wasteful number, since it uses less digits than its factorization.

442253325343025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022728770 (or 1022728758 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 47.

Adding to 442253325343025 its reverse (520343523352244), we get a palindrome (962596848695269).

The spelling of 442253325343025 in words is "four hundred forty-two trillion, two hundred fifty-three billion, three hundred twenty-five million, three hundred forty-three thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 353 1225 1765 2471 8825 12355 17297 61775 86485 432425 1022728393 5113641965 7159098751 25568209825 35795493755 50113691257 178977468775 250568456285 361023122729 1252842281425 1805115613645 2527161859103 9025578068225 12635809295515 17690133013721 63179046477575 88450665068605 442253325343025