Search a number
-
+
148305286691145 = 32534760185918397
BaseRepresentation
bin100001101110001000000011…
…111011100111100101001001
3201110002211212102101201002100
4201232020003323213211021
5123414313211343104040
61243230301432224013
743144463154254463
oct4156100373474511
9643084772351070
10148305286691145
1143288a12032011
121477268453b009
13649a1894b016c
14288a02ac7b133
151222b62ce7b30
hex86e203ee7949

148305286691145 has 96 divisors (see below), whose sum is σ = 258546940928640. Its totient is φ = 78641045683200.

The previous prime is 148305286691131. The next prime is 148305286691173. The reversal of 148305286691145 is 541196682503841.

It is a happy number.

148305286691145 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 0 + 528 + 6 + 6 + 91 + 14 + 5 = 666.

It is not a de Polignac number, because 148305286691145 - 211 = 148305286689097 is a prime.

It is a super-2 number, since 2×1483052866911452 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8061375087 + ... + 8061393483.

It is an arithmetic number, because the mean of its divisors is an integer number (2693197301340).

Almost surely, 2148305286691145 is an apocalyptic number.

148305286691145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148305286691145 is a deficient number, since it is larger than the sum of its proper divisors (110241654237495).

148305286691145 is a wasteful number, since it uses less digits than its factorization.

148305286691145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20215 (or 20212 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 148305286691145 in words is "one hundred forty-eight trillion, three hundred five billion, two hundred eighty-six million, six hundred ninety-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 347 601 859 1041 1735 1803 2577 3005 3123 4295 5205 5409 7731 9015 12885 15615 18397 27045 38655 55191 91985 165573 208547 275955 298073 516259 625641 827865 894219 1042735 1490365 1548777 1876923 2581295 2682657 3128205 4471095 4646331 6383759 7743885 9384615 11056597 13413285 15803023 19151277 23231655 31918795 33169791 47409069 55282985 57453831 79015115 95756385 99509373 142227207 165848955 179141873 237045345 287269155 497546865 537425619 711136035 895709365 1612276857 2687128095 3836639159 5483648981 8061384285 9497616823 11509917477 16450946943 19183195795 27418244905 28492850469 34529752431 47488084115 49352840829 57549587385 82254734715 85478551407 142464252345 172648762155 246764204145 427392757035 3295673037581 9887019112743 16478365187905 29661057338229 49435095563715 148305286691145