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238723193141 = 1723372895011
BaseRepresentation
bin1101111001010100000…
…0101101100100110101
3211211012000210201020222
43132111000231210311
512402401114140031
6301400134304125
723150532442556
oct3362500554465
9754160721228
10238723193141
1192273023364
123a323ab8045
13196859c7404
14b7a8c8832d
156322cece7b
hex379502d935

238723193141 has 48 divisors (see below), whose sum is σ = 274177249920. Its totient is φ = 206712760320.

The previous prime is 238723193131. The next prime is 238723193147. The reversal of 238723193141 is 141391327832.

238723193141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-238723193141 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 238723193092 and 238723193101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238723193147) 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 47 ways as a sum of consecutive naturals, for example, 47637326 + ... + 47642336.

It is an arithmetic number, because the mean of its divisors is an integer number (5712026040).

Almost surely, 2238723193141 is an apocalyptic number.

It is an amenable number.

238723193141 is a deficient number, since it is larger than the sum of its proper divisors (35454056779).

238723193141 is a wasteful number, since it uses less digits than its factorization.

238723193141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5177 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The spelling of 238723193141 in words is "two hundred thirty-eight billion, seven hundred twenty-three million, one hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 17 23 37 89 391 629 851 1369 1513 2047 3293 5011 14467 23273 31487 34799 55981 75739 85187 115253 121841 185407 445979 535279 1287563 1959301 2071297 2802343 3151919 4264361 6860059 7581643 10257517 16501223 47639831 72494137 116621003 157781357 174377789 280520791 379528129 610545251 2682283069 6451978193 10379269267 14042540773 238723193141