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332042424240233 = 7175947292753773
BaseRepresentation
bin100101101111111011010011…
…0101111110100100001101001
31121112122221112110011220020002
41023133312212233310201221
5322010140341101141413
63134110103415112345
7126640162544601050
oct11337664657644151
91545587473156202
10332042424240233
1196887446178a23
12312a80680726b5
131133760a482a55
145bdcd20bad397
15285c2bad60958
hex12dfda6bf4869

332042424240233 has 16 divisors (see below), whose sum is σ = 408609392607360. Its totient is φ = 263326053002496.

The previous prime is 332042424240193. The next prime is 332042424240259.

332042424240233 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 332042424240233 - 232 = 332038129272937 is a prime.

It is a super-2 number, since 2×3320424242402332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332042424240283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23646369866 + ... + 23646383907.

It is an arithmetic number, because the mean of its divisors is an integer number (25538087037960).

Almost surely, 2332042424240233 is an apocalyptic number.

It is an amenable number.

332042424240233 is a deficient number, since it is larger than the sum of its proper divisors (76566968367127).

332042424240233 is a wasteful number, since it uses less digits than its factorization.

332042424240233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47292753856.

The product of its (nonzero) digits is 663552, while the sum is 38.

The spelling of 332042424240233 in words is "three hundred thirty-two trillion, forty-two billion, four hundred twenty-four million, two hundred forty thousand, two hundred thirty-three".

Divisors: 1 7 17 59 119 413 1003 7021 47292753773 331049276411 803976814141 2790272472607 5627837698987 19531907308249 47434632034319 332042424240233