Search a number
-
+
141977932782 = 237191103161303
BaseRepresentation
bin1000010000111010001…
…0110101001111101110
3111120110200112021102220
42010032202311033232
54311232322322112
6145120155500210
713154226342120
oct2041642651756
9446420467386
10141977932782
1155237929334
1223624157666
13105085b101a
146c2c1c1210
153a5e6c598c
hex210e8b53ee

141977932782 has 64 divisors (see below), whose sum is σ = 341912862720. Its totient is φ = 38395037664.

The previous prime is 141977932771. The next prime is 141977932793. The reversal of 141977932782 is 287239779141.

141977932782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141977932771) and next prime (141977932793).

It is a super-2 number, since 2×1419779327822 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 799543 + ... + 960845.

It is an arithmetic number, because the mean of its divisors is an integer number (5342388480).

Almost surely, 2141977932782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141977932782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170956431360).

141977932782 is an abundant number, since it is smaller than the sum of its proper divisors (199934929938).

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

141977932782 is a wasteful number, since it uses less digits than its factorization.

141977932782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162437.

The product of its digits is 10668672, while the sum is 60.

The spelling of 141977932782 in words is "one hundred forty-one billion, nine hundred seventy-seven million, nine hundred thirty-two thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1103 2206 3309 6618 7721 15442 20957 23163 41914 46326 62871 125742 146699 161303 293398 322606 440097 483909 880194 967818 1129121 2258242 3064757 3387363 6129514 6774726 9194271 18388542 21453299 42906598 64359897 128719794 177917209 355834418 533751627 1067503254 1245420463 2490840926 3380426971 3736261389 6760853942 7472522778 10141280913 20282561826 23662988797 47325977594 70988966391 141977932782