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144321730609 = 7477532
BaseRepresentation
bin1000011001101000111…
…1101101100000110001
3111210112000210112121211
42012122033231200301
54331032330334414
6150144523320121
713266266320000
oct2063217554061
9453460715554
10144321730609
115622a944331
1223b79080041
13107c004c544
146db15b0c37
153b4a3493c4
hex219a3ed831

144321730609 has 15 divisors (see below), whose sum is σ = 168387053163. Its totient is φ = 123688384848.

The previous prime is 144321730561. The next prime is 144321730633. The reversal of 144321730609 is 906037123441.

The square root of 144321730609 is 379897.

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

It can be written as a sum of positive squares in only one way, i.e., 143652370225 + 669360384 = 379015^2 + 25872^2 .

It is not a de Polignac number, because 144321730609 - 217 = 144321599537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144321730109) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18611077 + ... + 18618829.

Almost surely, 2144321730609 is an apocalyptic number.

144321730609 is the 379897-th square number.

144321730609 is the 189949-th centered octagonal number.

It is an amenable number.

144321730609 is a deficient number, since it is larger than the sum of its proper divisors (24065322554).

144321730609 is an frugal number, since it uses more digits than its factorization.

144321730609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15534 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

It can be divided in two parts, 14432 and 1730609, that added together give a square (1745041 = 13212).

The spelling of 144321730609 in words is "one hundred forty-four billion, three hundred twenty-one million, seven hundred thirty thousand, six hundred nine".

Divisors: 1 7 49 343 2401 7753 54271 379897 2659279 18614953 60109009 420763063 2945341441 20617390087 144321730609