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136541442040445 = 51361197771741249
BaseRepresentation
bin11111000010111100001000…
…001001100110001001111101
3122220110020022212021100000102
4133002330020021212021331
5120344043333130243240
61202222134511010445
740521536135502551
oct3702741011461175
9586406285240012
10136541442040445
113a56299a449482
1213392790809a25
135b25a587c3270
1425a08d90b5861
1510bbb52547815
hex7c2f0826627d

136541442040445 has 32 divisors (see below), whose sum is σ = 179355408540000. Its totient is φ = 99172570890240.

The previous prime is 136541442040439. The next prime is 136541442040463. The reversal of 136541442040445 is 544040244145631.

It can be written as a sum of positive squares in 16 ways, for example, as 119785100951044 + 16756341089401 = 10944638^2 + 4093451^2 .

It is not a de Polignac number, because 136541442040445 - 214 = 136541442024061 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 136541442040445.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 77545181 + ... + 79286429.

It is an arithmetic number, because the mean of its divisors is an integer number (5604856516875).

Almost surely, 2136541442040445 is an apocalyptic number.

It is an amenable number.

136541442040445 is a deficient number, since it is larger than the sum of its proper divisors (42813966499555).

136541442040445 is a wasteful number, since it uses less digits than its factorization.

136541442040445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761105.

The product of its (nonzero) digits is 3686400, while the sum is 47.

The spelling of 136541442040445 in words is "one hundred thirty-six trillion, five hundred forty-one billion, four hundred forty-two million, forty thousand, four hundred forty-five".

Divisors: 1 5 13 61 65 305 793 3965 19777 98885 257101 1206397 1285505 1741249 6031985 8706245 15683161 22636237 78415805 106216189 113181185 531080945 1380810457 6904052285 34436681473 172183407365 447676859149 2100637569853 2238384295745 10503187849265 27308288408089 136541442040445