Search a number
-
+
141332233141 = 11172101440179
BaseRepresentation
bin1000001110100000001…
…1101011101110110101
3111111210200112100001101
42003220003223232311
54303422022430031
6144532132130101
713132226105641
oct2035003535665
9444720470041
10141332233141
1154a363a7670
1223483a66931
13104348a4528
146baa53dc21
153a22b7c361
hex20e80ebbb5

141332233141 has 24 divisors (see below), whose sum is σ = 165405558240. Its totient is φ = 119728416000.

The previous prime is 141332233121. The next prime is 141332233187.

141332233141 is nontrivially palindromic in base 10.

141332233141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141332233141 - 27 = 141332233013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141332233121) 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 23 ways as a sum of consecutive naturals, for example, 100990 + ... + 541168.

It is an arithmetic number, because the mean of its divisors is an integer number (6891898260).

Almost surely, 2141332233141 is an apocalyptic number.

141332233141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141332233141 is a deficient number, since it is larger than the sum of its proper divisors (24073325099).

141332233141 is a wasteful number, since it uses less digits than its factorization.

141332233141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440325 (or 440308 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 141332 and 233141, that added together give a palindrome (374473).

The spelling of 141332233141 in words is "one hundred forty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 11 17 101 187 289 1111 1717 3179 18887 29189 321079 440179 4841969 7483043 44458079 82313473 127211731 489038869 755787343 1399329041 8313660773 12848384831 141332233141