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144661444166441 = 1752642316164751
BaseRepresentation
bin100000111001000110011101…
…111111100000001100101001
3200222012111110202211100200202
4200321012131333200030221
5122430113114201311231
61231400314445041545
742320305304660546
oct4071063577401451
9628174422740622
10144661444166441
1142103634a09054
1214284434b562b5
136294691b67367
1427a1919091bcd
1511ace997335cb
hex83919dfe0329

144661444166441 has 8 divisors (see below), whose sum is σ = 153171241323264. Its totient is φ = 136151680392000.

The previous prime is 144661444166429. The next prime is 144661444166467.

144661444166441 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 144661444166441 - 238 = 144386566259497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144661444166641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866816 + ... + 17031566.

It is an arithmetic number, because the mean of its divisors is an integer number (19146405165408).

Almost surely, 2144661444166441 is an apocalyptic number.

It is an amenable number.

144661444166441 is a deficient number, since it is larger than the sum of its proper divisors (8509797156823).

144661444166441 is a wasteful number, since it uses less digits than its factorization.

144661444166441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691191.

The product of its digits is 21233664, while the sum is 56.

The spelling of 144661444166441 in words is "one hundred forty-four trillion, six hundred sixty-one billion, four hundred forty-four million, one hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 17 526423 8949191 16164751 274800767 8509496715673 144661444166441