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3783823141 = 731243103127
BaseRepresentation
bin1110000110001000…
…1000111100100101
3100202200221010112211
43201202020330211
530222124320031
61423244243421
7162523652230
oct34142107445
910680833484
103783823141
11167196236a
12897240571
13483bc2207
1427c760417
151722c2bb1
hexe1888f25

3783823141 has 48 divisors (see below), whose sum is σ = 4653023232. Its totient is φ = 3011994720.

The previous prime is 3783823073. The next prime is 3783823171. The reversal of 3783823141 is 1413283873.

It is a happy number.

3783823141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3783823141 - 221 = 3781725989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3783823094 and 3783823103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783823171) 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, 29793820 + ... + 29793946.

It is an arithmetic number, because the mean of its divisors is an integer number (96937984).

Almost surely, 23783823141 is an apocalyptic number.

3783823141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3783823141 is a deficient number, since it is larger than the sum of its proper divisors (869200091).

3783823141 is a wasteful number, since it uses less digits than its factorization.

3783823141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 3783823141 is about 61512.7884346011. The cubic root of 3783823141 is about 1558.2732291828.

The spelling of 3783823141 in words is "three billion, seven hundred eighty-three million, eight hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 7 31 43 103 127 217 301 721 889 961 1333 3193 3937 4429 5461 6727 9331 13081 22351 27559 31003 38227 41323 91567 98983 122047 137299 169291 289261 405511 562483 692881 854329 961093 1185037 2838577 3937381 4256269 5248021 12570841 17436973 29793883 36736147 87995887 122058811 540546163 3783823141