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332144343441233 is a prime number
BaseRepresentation
bin100101110000101010110000…
…1100110101101111101010001
31121120000200121101010202022022
41023201111201212231331101
5322013323103410104413
63134225001021221225
7126650431314526541
oct11341254146557521
91546020541122268
10332144343441233
1196916696984154
1231303970701815
131134410078988b
145c03c2ca95321
15285ec837ec608
hex12e15619adf51

332144343441233 has 2 divisors, whose sum is σ = 332144343441234. Its totient is φ = 332144343441232.

The previous prime is 332144343441217. The next prime is 332144343441271.

332144343441233 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270669225312784 + 61475118128449 = 16452028^2 + 7840607^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332144343441233 - 24 = 332144343441217 is a prime.

It is a super-2 number, since 2×3321443434412332 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332144343441133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166072171720616 + 166072171720617.

It is an arithmetic number, because the mean of its divisors is an integer number (166072171720617).

Almost surely, 2332144343441233 is an apocalyptic number.

It is an amenable number.

332144343441233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332144343441233 is an equidigital number, since it uses as much as digits as its factorization.

332144343441233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2985984, while the sum is 44.

The spelling of 332144343441233 in words is "three hundred thirty-two trillion, one hundred forty-four billion, three hundred forty-three million, four hundred forty-one thousand, two hundred thirty-three".