Search a number
-
+
141787595835006 = 231127917231434793
BaseRepresentation
bin100000001111010001111111…
…010010001000011001111110
3200121000202120100011211120120
4200033101333102020121332
5122041021444013210011
61221320153341355410
741602546542133602
oct4017217722103176
9617022510154516
10141787595835006
11411a58664aa100
1213a9b476b68b66
136116688b51ab4
1427027b0511502
15115d34a08ba06
hex80f47f48867e

141787595835006 has 96 divisors (see below), whose sum is σ = 315827314414080. Its totient is φ = 42397414899840.

The previous prime is 141787595834921. The next prime is 141787595835007. The reversal of 141787595835006 is 600538595787141.

141787595835006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141787595835007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98103546 + ... + 99538338.

It is an arithmetic number, because the mean of its divisors is an integer number (3289867858480).

Almost surely, 2141787595835006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141787595835006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157913657207040).

141787595835006 is an abundant number, since it is smaller than the sum of its proper divisors (174039718579074).

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

141787595835006 is a wasteful number, since it uses less digits than its factorization.

141787595835006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436622 (or 1436611 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 69.

The spelling of 141787595835006 in words is "one hundred forty-one trillion, seven hundred eighty-seven billion, five hundred ninety-five million, eight hundred thirty-five thousand, six".

Divisors: 1 2 3 6 11 22 33 66 79 121 158 237 242 363 474 726 869 1723 1738 2607 3446 5169 5214 9559 10338 18953 19118 28677 37906 56859 57354 113718 136117 208483 272234 408351 416966 625449 816702 1250898 1434793 1497287 2869586 2994574 4304379 4491861 8608758 8983722 15782723 16470157 31565446 32940314 47348169 49410471 94696338 98820942 113348647 173609953 226697294 340045941 347219906 520829859 680091882 1041659718 1246835117 2472148339 2493670234 3740505351 4944296678 7416445017 7481010702 13715186287 14832890034 27193631729 27430372574 41145558861 54387263458 81580895187 82291117722 163161790374 195299718781 299129949019 390599437562 585899156343 598259898038 897389847057 1171798312686 1794779694114 2148296906591 4296593813182 6444890719773 12889781439546 23631265972501 47262531945002 70893797917503 141787595835006