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144524666896 = 2410129412
BaseRepresentation
bin1000011010011001010…
…1110110100000010000
3111211001011122202212121
42012212111312200100
54331441303320041
6150221013104024
713304312253661
oct2064625664020
9454034582777
10144524666896
1156324452375
1224015028014
13108230c419c
146dd0519368
153b5d0837d1
hex21a6576810

144524666896 has 45 divisors (see below), whose sum is σ = 283117301239. Its totient is φ = 71470832000.

The previous prime is 144524666879. The next prime is 144524666917. The reversal of 144524666896 is 698666425441.

It is a happy number.

The square root of 144524666896 is 380164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 61026785296 + 83497881600 = 247036^2 + 288960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153585786 + ... + 153586726.

Almost surely, 2144524666896 is an apocalyptic number.

144524666896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144524666896 is the 380164-th square number.

It is an amenable number.

144524666896 is a deficient number, since it is larger than the sum of its proper divisors (138592634343).

144524666896 is an frugal number, since it uses more digits than its factorization.

144524666896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 1044 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 61.

The spelling of 144524666896 in words is "one hundred forty-four billion, five hundred twenty-four million, six hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 101 202 404 808 941 1616 1882 3764 7528 10201 15056 20402 40804 81608 95041 163216 190082 380164 760328 885481 1520656 1770962 3541924 7083848 9599141 14167696 19198282 38396564 76793128 89433581 153586256 178867162 357734324 715468648 1430937296 9032791681 18065583362 36131166724 72262333448 144524666896