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841139931148 = 2211192934694767
BaseRepresentation
bin11000011110101111101…
…10001100100000001100
32222102010111011210001021
430033113312030200030
5102240123310244043
61442225255523524
7114525142306156
oct14172766144014
92872114153037
10841139931148
112a47a86209a0
121170280895a4
136141c250cba
142c9d60a7ad6
1516d2edeb3ed
hexc3d7d8c80c

841139931148 has 48 divisors (see below), whose sum is σ = 1748616307200. Its totient is φ = 349723241280.

The previous prime is 841139931133. The next prime is 841139931169.

841139931148 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×8411399311483 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 841139931095 and 841139931104.

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 15 ways as a sum of consecutive naturals, for example, 17323140 + ... + 17371627.

It is an arithmetic number, because the mean of its divisors is an integer number (36429506400).

Almost surely, 2841139931148 is an apocalyptic number.

It is an amenable number.

841139931148 is an abundant number, since it is smaller than the sum of its proper divisors (907476376052).

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

841139931148 is a wasteful number, since it uses less digits than its factorization.

841139931148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34694830 (or 34694828 counting only the distinct ones).

The product of its digits is 746496, while the sum is 52.

The spelling of 841139931148 in words is "eight hundred forty-one billion, one hundred thirty-nine million, nine hundred thirty-one thousand, one hundred forty-eight".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 12122 24244 34694767 69389534 138779068 381642437 659200573 763284874 1006148243 1318401146 1526569748 2012296486 2636802292 4024592972 7251206303 11067630673 14502412606 19116816617 22135261346 29004825212 38233633234 44270522692 76467266468 210284982787 420569965574 841139931148