Search a number
-
+
141304362525 = 325217293734429
BaseRepresentation
bin1000001110011001100…
…1010111011000011101
3111111201202002100202100
42003212121113120131
54303342404100100
6144525254515313
713131440156334
oct2034631273035
9444652070670
10141304362525
1154a216a0aa7
1223476665b39
131042bb96841
146ba6966d1b
153a204c4400
hex20e665761d

141304362525 has 144 divisors (see below), whose sum is σ = 284720950800. Its totient is φ = 66630574080.

The previous prime is 141304362503. The next prime is 141304362601. The reversal of 141304362525 is 525263403141.

141304362525 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 4 + 3 + 625 + 25 = 666.

141304362525 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 24 ways, for example, as 62721696249 + 78582666276 = 250443^2 + 280326^2 .

It is not a de Polignac number, because 141304362525 - 216 = 141304296989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141304362525.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4087011 + ... + 4121439.

It is an arithmetic number, because the mean of its divisors is an integer number (1977228825).

Almost surely, 2141304362525 is an apocalyptic number.

141304362525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141304362525 is an abundant number, since it is smaller than the sum of its proper divisors (143416588275).

141304362525 is a wasteful number, since it uses less digits than its factorization.

141304362525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34528 (or 34520 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 141304362525 its reverse (525263403141), we get a palindrome (666567765666).

The spelling of 141304362525 in words is "one hundred forty-one billion, three hundred four million, three hundred sixty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 29 37 45 51 75 85 87 111 145 153 185 225 255 261 333 425 435 493 555 629 725 765 925 1073 1275 1305 1479 1665 1887 2175 2465 2775 3145 3219 3825 4437 5365 5661 6525 7395 8325 9435 9657 12325 15725 16095 18241 22185 26825 28305 34429 36975 47175 48285 54723 80475 91205 103287 110925 141525 164169 172145 241425 273615 309861 456025 516435 585293 820845 860725 998441 1273873 1368075 1549305 1755879 2582175 2926465 2995323 3821619 4104225 4992205 5267637 6369365 7746525 8779395 8985969 11464857 14632325 14976615 16973497 19108095 21655841 24961025 26338185 31846825 36942317 43896975 44929845 50920491 57324285 64967523 74883075 84867485 95540475 108279205 110826951 131690925 152761473 184711585 194902569 224649225 254602455 286621425 324837615 332480853 424337425 541396025 554134755 628019389 763807365 923557925 974512845 1273012275 1624188075 1662404265 1884058167 2770673775 3140096945 3819036825 4872564225 5652174501 8312021325 9420290835 15700484725 28260872505 47101454175 141304362525