Search a number
-
+
10455145305241 = 7131946113116989
BaseRepresentation
bin1001100000100100011100…
…1110001101010010011001
31101000111120001102101022211
42120021013032031102121
52332244114144231431
634123005532315121
72126234150533060
oct230110716152231
941014501371284
1010455145305241
113371002a6144a
12120a33b012aa1
135aabba50c1a0
142820631091d7
15131e67c8b2b1
hex9824738d499

10455145305241 has 32 divisors (see below), whose sum is σ = 13574510611200. Its totient is φ = 7819823566080.

The previous prime is 10455145305193. The next prime is 10455145305263. The reversal of 10455145305241 is 14250354155401.

It is a cyclic number.

It is not a de Polignac number, because 10455145305241 - 221 = 10455143208089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10455145305194 and 10455145305203.

It is not an unprimeable number, because it can be changed into a prime (10455145305281) 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 31 ways as a sum of consecutive naturals, for example, 5761426 + ... + 7355563.

It is an arithmetic number, because the mean of its divisors is an integer number (424203456600).

Almost surely, 210455145305241 is an apocalyptic number.

It is an amenable number.

10455145305241 is a deficient number, since it is larger than the sum of its proper divisors (3119365305959).

10455145305241 is a wasteful number, since it uses less digits than its factorization.

10455145305241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13117489.

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 10455145305241 in words is "ten trillion, four hundred fifty-five billion, one hundred forty-five million, three hundred five thousand, two hundred forty-one".

Divisors: 1 7 13 19 91 133 247 461 1729 3227 5993 8759 41951 61313 113867 797069 13116989 91818923 170520857 249222791 1193645999 1744559537 3239896283 6046931929 22679273981 42328523503 78610115077 114891706651 550270805539 804241946557 1493592186463 10455145305241