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135422503334514 = 232112300120718913
BaseRepresentation
bin11110110010101010000010…
…001101001011001001110010
3122202111021011002200121210200
4132302222002031023021302
5120222230241323201024
61200004123355140030
740344644606436114
oct3662520215131162
9582437132617720
10135422503334514
113a1713a7747400
1213231956444616
135a7439718b526
1425626ac66b3b4
15109c9b40b82c9
hex7b2a8234b272

135422503334514 has 72 divisors (see below), whose sum is σ = 322621958767836. Its totient is φ = 41023445760000.

The previous prime is 135422503334513. The next prime is 135422503334527. The reversal of 135422503334514 is 415433305224531.

135422503334514 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 22 + 50 + 33 + 34 + 514 = 666.

135422503334514 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134050477652289 + 1372025682225 = 11578017^2 + 1171335^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135422503334514.

It is not an unprimeable number, because it can be changed into a prime (135422503334513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3823279 + ... + 16895634.

Almost surely, 2135422503334514 is an apocalyptic number.

135422503334514 is an abundant number, since it is smaller than the sum of its proper divisors (187199455433322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135422503334514 is a wasteful number, since it uses less digits than its factorization.

135422503334514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20721944 (or 20721930 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 135422503334514 in words is "one hundred thirty-five trillion, four hundred twenty-two billion, five hundred three million, three hundred thirty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3001 6002 9003 18006 27009 33011 54018 66022 99033 198066 297099 363121 594198 726242 1089363 2178726 3268089 6536178 20718913 41437826 62156739 124313478 186470217 227908043 372940434 455816086 683724129 1367448258 2051172387 2506988473 4102344774 5013976946 7520965419 15041930838 22562896257 45125792514 62177457913 124354915826 186532373739 373064747478 559597121217 683952037043 1119194242434 1367904074086 2051856111129 4103712222258 6155568333387 7523472407473 12311136666774 15046944814946 22570417222419 45140834444838 67711251667257 135422503334514