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145212245199 = 32753195122291
BaseRepresentation
bin1000011100111101010…
…0110000010011001111
3111212211002110100222200
42013033110300103033
54334343313321244
6150413134212543
713330331501310
oct2071724602317
9455732410880
10145212245199
11566475880aa
1224187354153
13109026a4658
14705797c607
153b9d600669
hex21cf5304cf

145212245199 has 48 divisors (see below), whose sum is σ = 244374534144. Its totient is φ = 81367416000.

The previous prime is 145212245179. The next prime is 145212245203. The reversal of 145212245199 is 991542212541.

145212245199 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 122 + 4 + 519 + 9 = 666.

145212245199 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 145212245199 - 28 = 145212244943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145212245159) 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, 6503244 + ... + 6525534.

It is an arithmetic number, because the mean of its divisors is an integer number (5091136128).

Almost surely, 2145212245199 is an apocalyptic number.

145212245199 is a deficient number, since it is larger than the sum of its proper divisors (99162288945).

145212245199 is a wasteful number, since it uses less digits than its factorization.

145212245199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24308 (or 24305 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 145212245199 in words is "one hundred forty-five billion, two hundred twelve million, two hundred forty-five thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 1951 3339 5853 13657 17559 22291 40971 66873 103403 122913 156037 200619 310209 468111 723821 930627 1181423 1404333 2171463 3544269 6514389 8269961 10632807 24809883 43489741 74429649 130469223 304428187 391407669 913284561 2304956273 2739853683 6914868819 16134693911 20744606457 48404081733 145212245199