Search a number
-
+
141786806511 = 371710318012141
BaseRepresentation
bin1000010000001100100…
…1101111100011101111
3111112222100220001111010
42010003021233203233
54310334410302021
6145045211200303
713146415653510
oct2040311574357
9445870801433
10141786806511
1155149a57339
1223590146093
13104a7b12a5c
146c10a6ca07
153a4ca20976
hex210326f8ef

141786806511 has 64 divisors (see below), whose sum is σ = 231222491136. Its totient is φ = 75437568000.

The previous prime is 141786806509. The next prime is 141786806521. The reversal of 141786806511 is 115608687141.

141786806511 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 141786806511 - 21 = 141786806509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141786806521) 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 63 ways as a sum of consecutive naturals, for example, 66223501 + ... + 66225641.

It is an arithmetic number, because the mean of its divisors is an integer number (3612851424).

Almost surely, 2141786806511 is an apocalyptic number.

141786806511 is a deficient number, since it is larger than the sum of its proper divisors (89435684625).

141786806511 is a wasteful number, since it uses less digits than its factorization.

141786806511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072.

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 141786806511 in words is "one hundred forty-one billion, seven hundred eighty-six million, eight hundred six thousand, five hundred eleven".

Divisors: 1 3 7 17 21 51 103 119 309 357 721 1751 1801 2141 2163 5253 5403 6423 12257 12607 14987 30617 36397 36771 37821 44961 91851 109191 185503 214319 220523 254779 556509 642957 661569 764337 1298521 1543661 3153551 3748891 3855941 3895563 4630983 9460653 11246673 11567823 22074857 26242237 26991587 65550997 66224571 78726711 80974761 196652991 397161923 458856979 1191485769 1376570937 2780133461 6751752691 8340400383 20255258073 47262268837 141786806511