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14048598437316 = 223289270192
BaseRepresentation
bin1100110001101111000110…
…1110000010110111000100
31211202000212222110100211100
43030123301232002313010
53320133012144443231
645513500444140100
72646656236301532
oct314336156026704
954660788410740
1014048598437316
114526a82631973
1216aa867237630
137aba14518b31
14367d549a1152
151956826e01e6
hexcc6f1b82dc4

14048598437316 has 81 divisors (see below), whose sum is σ = 35920344022381. Its totient is φ = 4629589998528.

The previous prime is 14048598437287. The next prime is 14048598437347. The reversal of 14048598437316 is 61373489584041.

The square root of 14048598437316 is 3748146.

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

14048598437316 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 8 + 598 + 4 + 3 + 7 + 31 + 6 = 666.

14048598437316 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 only one way, i.e., 2697628862916 + 11350969574400 = 1642446^2 + 3369120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2001506455 + ... + 2001513473.

Almost surely, 214048598437316 is an apocalyptic number.

14048598437316 is the 3748146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14048598437316

14048598437316 is an abundant number, since it is smaller than the sum of its proper divisors (21871745585065).

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

14048598437316 is an frugal number, since it uses more digits than its factorization.

14048598437316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 14048598437316 in words is "fourteen trillion, forty-eight billion, five hundred ninety-eight million, four hundred thirty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 7019 7921 14038 15842 21057 23763 28076 31684 42114 47526 63171 71289 84228 95052 126342 142578 252684 285156 624691 1249382 1874073 2498764 3748146 5622219 7496292 11244438 22488876 49266361 55597499 98532722 111194998 147799083 166792497 197065444 222389996 295598166 333584994 443397249 500377491 591196332 667169988 886794498 1000754982 1773588996 2001509964 4384706129 8769412258 13154118387 17538824516 26308236774 39462355161 52616473548 78924710322 157849420644 390238845481 780477690962 1170716536443 1560955381924 2341433072886 3512149609329 4682866145772 7024299218658 14048598437316