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330444431201 = 3782910773137
BaseRepresentation
bin1001100111100000000…
…01011101111101100001
31011120221020111101010002
410303300001131331201
520403222233244301
6411445402545345
732605502215103
oct4636001357541
91146836441102
10330444431201
111181602a3045
1254061208255
13252122c0a41
1411dca5d9573
1588e032616b
hex4cf005df61

330444431201 has 8 divisors (see below), whose sum is σ = 339784772520. Its totient is φ = 321125637888.

The previous prime is 330444431171. The next prime is 330444431227. The reversal of 330444431201 is 102134444033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67808680801 + 262635750400 = 260401^2 + 512480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 330444431201 - 210 = 330444430177 is a prime.

It is a super-2 number, since 2×3304444312012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330444431281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5355896 + ... + 5417241.

It is an arithmetic number, because the mean of its divisors is an integer number (42473096565).

Almost surely, 2330444431201 is an apocalyptic number.

It is an amenable number.

330444431201 is a deficient number, since it is larger than the sum of its proper divisors (9340341319).

330444431201 is a wasteful number, since it uses less digits than its factorization.

330444431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774003.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 330444431201 its reverse (102134444033), we get a palindrome (432578875234).

The spelling of 330444431201 in words is "three hundred thirty billion, four hundred forty-four million, four hundred thirty-one thousand, two hundred one".

Divisors: 1 37 829 30673 10773137 398606069 8930930573 330444431201