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144252646443328 = 2617373583382513
BaseRepresentation
bin100000110011001001101111…
…101111111100100101000000
3200220202102021221210100102011
4200303021233233330211000
5122401413404442141303
61230444430111102304
742245624024445163
oct4063115757744500
9626672257710364
10144252646443328
1141a66227293105
1214219167511994
136264c7394c4c7
142789c186cdada
1511a25207b716d
hex83326fbfc940

144252646443328 has 56 divisors (see below), whose sum is σ = 311281272226152. Its totient is φ = 66048906461184.

The previous prime is 144252646443313. The next prime is 144252646443361. The reversal of 144252646443328 is 823344646252441.

144252646443328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78763637012544 + 65489009430784 = 8874888^2 + 8092528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791651001 + ... + 1791731512.

Almost surely, 2144252646443328 is an apocalyptic number.

It is an amenable number.

144252646443328 is an abundant number, since it is smaller than the sum of its proper divisors (167028625782824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144252646443328 is a wasteful number, since it uses less digits than its factorization.

144252646443328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583382579 (or 3583382569 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 58.

The spelling of 144252646443328 in words is "one hundred forty-four trillion, two hundred fifty-two billion, six hundred forty-six million, four hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 544 592 629 1088 1184 1258 2368 2516 5032 10064 20128 40256 3583382513 7166765026 14333530052 28667060104 57334120208 60917502721 114668240416 121835005442 132585152981 229336480832 243670010884 265170305962 487340021768 530340611924 974680043536 1060681223848 1949360087072 2121362447696 2253947600677 3898720174144 4242724895392 4507895201354 8485449790784 9015790402708 18031580805416 36063161610832 72126323221664 144252646443328