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139630016241 = 34415192
BaseRepresentation
bin1000001000001010011…
…0001111011011110001
3111100102001111202110000
42002002212033123301
54241430241004431
6144051203500213
713042106361312
oct2020246173361
9440361452400
10139630016241
115424255a941
1223089987669
131022302cbb1
146a8843c609
1539734db9e6
hex208298f6f1

139630016241 has 15 divisors (see below), whose sum is σ = 208588134601. Its totient is φ = 93084435468.

The previous prime is 139630016221. The next prime is 139630016311. The reversal of 139630016241 is 142610036931.

The square root of 139630016241 is 373671.

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

139630016241 is a `hidden beast` number, since 1 + 3 + 9 + 630 + 0 + 16 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 139630016241 - 25 = 139630016209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 139630016196 and 139630016205.

It is not an unprimeable number, because it can be changed into a prime (139630016221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3342280 + ... + 3383798.

Almost surely, 2139630016241 is an apocalyptic number.

139630016241 is the 373671-st square number.

139630016241 is the 186836-th centered octagonal number.

It is an amenable number.

139630016241 is a deficient number, since it is larger than the sum of its proper divisors (68958118360).

139630016241 is an frugal number, since it uses more digits than its factorization.

139630016241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83050 (or 41522 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 139630016241 by its sum of digits (36), we get a square (5026680584676 = 22420262).

The spelling of 139630016241 in words is "one hundred thirty-nine billion, six hundred thirty million, sixteen thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 41519 124557 373671 1121013 3363039 1723827361 5171482083 15514446249 46543338747 139630016241