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142332141233241 = 32173492665545653
BaseRepresentation
bin100000010111001101001000…
…101101111110010001011001
3200122221211010122102020111100
4200113031020231332101121
5122123432211123430431
61222414252155222013
741660105100505041
oct4027151055762131
9618854118366440
10142332141233241
11413957a4153603
1213b68b0a147909
136155b2b96257b
142720cab868721
15116c5bb7614e6
hex817348b7e459

142332141233241 has 24 divisors (see below), whose sum is σ = 218308189062600. Its totient is φ = 89050549142016.

The previous prime is 142332141233063. The next prime is 142332141233291.

142332141233241 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 321 + 4 + 1 + 2 + 3 + 324 + 1 = 666.

142332141233241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 105823912055625 + 36508229177616 = 10287075^2 + 6042204^2 .

It is not a de Polignac number, because 142332141233241 - 217 = 142332141102169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142332141233196 and 142332141233205.

It is not an unprimeable number, because it can be changed into a prime (142332141233291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332719430 + ... + 1332826223.

It is an arithmetic number, because the mean of its divisors is an integer number (9096174544275).

Almost surely, 2142332141233241 is an apocalyptic number.

It is an amenable number.

142332141233241 is a deficient number, since it is larger than the sum of its proper divisors (75976047829359).

142332141233241 is a wasteful number, since it uses less digits than its factorization.

142332141233241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665546025 (or 2665546022 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 142332141233241 in words is "one hundred forty-two trillion, three hundred thirty-two billion, one hundred forty-one million, two hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 349 1047 3141 5933 17799 53397 2665545653 7996636959 23989910877 45314276101 135942828303 407828484909 930275432897 2790826298691 8372478896073 15814682359249 47444047077747 142332141233241