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144241130432321 = 13211364111783273
BaseRepresentation
bin100000110010111111000001…
…010101110110011101000001
3200220201022120101101101010222
4200302333001111312131001
5122401221313342313241
61230435243251032425
742245035451122106
oct4062770125663501
9626638511341128
10144241130432321
1141a6135785263a
1214216a9289b715
136263b59b55200
14278944509aaad
1511a209979aa4b
hex832fc1576741

144241130432321 has 24 divisors (see below), whose sum is σ = 157818149124696. Its totient is φ = 131761490165760.

The previous prime is 144241130432291. The next prime is 144241130432353. The reversal of 144241130432321 is 123234031142441.

It can be written as a sum of positive squares in 12 ways, for example, as 114980820313921 + 29260310118400 = 10722911^2 + 5409280^2 .

It is not a de Polignac number, because 144241130432321 - 218 = 144241130170177 is a prime.

It is a super-2 number, since 2×1442411304323212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144241130432921) 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 23 ways as a sum of consecutive naturals, for example, 6349541 + ... + 18132813.

It is an arithmetic number, because the mean of its divisors is an integer number (6575756213529).

Almost surely, 2144241130432321 is an apocalyptic number.

It is an amenable number.

144241130432321 is a deficient number, since it is larger than the sum of its proper divisors (13577018692375).

144241130432321 is a wasteful number, since it uses less digits than its factorization.

144241130432321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784053 (or 11784040 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 144241130432321 its reverse (123234031142441), we get a palindrome (267475161574762).

The spelling of 144241130432321 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred thirty million, four hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 13 113 169 641 1469 8333 19097 72433 108329 941629 11783273 12241177 153182549 1331509849 1991373137 7553077993 17309628037 98190013909 225025164481 853497813209 1276470180817 11095471571717 144241130432321