Search a number
-
+
139261073329 = 728925992
BaseRepresentation
bin1000000110110010011…
…0110101011110110001
3111022110100021111220201
42001230212311132301
54240201313321304
6143550424035201
713030006410100
oct2015446653661
9438410244821
10139261073329
1154073277644
1222ba6302b01
1310194773791
146a51440037
153950e103a4
hex206c9b57b1

139261073329 has 27 divisors (see below), whose sum is σ = 164112200427. Its totient is φ = 117828398688.

The previous prime is 139261073251. The next prime is 139261073339. The reversal of 139261073329 is 923370162931.

The square root of 139261073329 is 373177.

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

139261073329 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., 26741079729 + 112519993600 = 163527^2 + 335440^2 .

It is not a de Polignac number, because 139261073329 - 233 = 130671138737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (139261073339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 232488972 + ... + 232489570.

Almost surely, 2139261073329 is an apocalyptic number.

139261073329 is the 373177-th square number.

139261073329 is the 186589-th centered octagonal number.

It is an amenable number.

139261073329 is a deficient number, since it is larger than the sum of its proper divisors (24851127098).

139261073329 is an frugal number, since it uses more digits than its factorization.

139261073329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 46.

The spelling of 139261073329 in words is "one hundred thirty-nine billion, two hundred sixty-one million, seventy-three thousand, three hundred twenty-nine".

Divisors: 1 7 49 89 599 623 4193 4361 7921 29351 53311 55447 358801 373177 388129 2511607 2612239 4744679 17581249 31933289 33212753 223533023 232489271 1564731161 2842062721 19894439047 139261073329