Search a number
-
+
145258852541 = 1141944371143
BaseRepresentation
bin1000011101001000011…
…0100011000010111101
3111212221100011021020112
42013102012203002331
54334442231240131
6150421521155405
713331435605625
oct2072206430275
9455840137215
10145258852541
1156670920970
122419aa8bb65
131090c24276a
14705dc31885
153ba275a02b
hex21d21a30bd

145258852541 has 16 divisors (see below), whose sum is σ = 159203197440. Its totient is φ = 131439113520.

The previous prime is 145258852517. The next prime is 145258852553.

145258852541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145258852541 - 226 = 145191743677 is a prime.

It is a super-2 number, since 2×1452588525412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145258852541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145258854541) 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 15 ways as a sum of consecutive naturals, for example, 2006216 + ... + 2077358.

It is an arithmetic number, because the mean of its divisors is an integer number (9950199840).

Almost surely, 2145258852541 is an apocalyptic number.

145258852541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145258852541 is a deficient number, since it is larger than the sum of its proper divisors (13944344899).

145258852541 is a wasteful number, since it uses less digits than its factorization.

145258852541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72016.

The product of its digits is 2560000, while the sum is 50.

It can be divided in two parts, 145258 and 852541, that added together give a palindrome (997799).

The spelling of 145258852541 in words is "one hundred forty-five billion, two hundred fifty-eight million, eight hundred fifty-two thousand, five hundred forty-one".

Divisors: 1 11 419 443 4609 4873 71143 185617 782573 2041787 29808917 31516349 327898087 346679839 13205350231 145258852541