Search a number
-
+
41122402020 = 22325737986113
BaseRepresentation
bin100110010011000101…
…100000111011100100
310221010220001110121200
4212103011200323210
51133204313331040
630520311442500
72654023435620
oct462305407344
9127126043550
1041122402020
1116492584317
127b77986430
133b54777a7b
141dc169c180
15110a2e5630
hex993160ee4

41122402020 has 144 divisors (see below), whose sum is σ = 142935461760. Its totient is φ = 9374496768.

The previous prime is 41122402001. The next prime is 41122402037. The reversal of 41122402020 is 2020422114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41122401984 and 41122402002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434484 + ... + 520596.

Almost surely, 241122402020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41122402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71467730880).

41122402020 is an abundant number, since it is smaller than the sum of its proper divisors (101813059740).

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

41122402020 is a wasteful number, since it uses less digits than its factorization.

41122402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86514 (or 86509 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41122402020 its reverse (2020422114), we get a palindrome (43142824134).

The spelling of 41122402020 in words is "forty-one billion, one hundred twenty-two million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 379 420 630 758 1137 1260 1516 1895 2274 2653 3411 3790 4548 5306 5685 6822 7580 7959 10612 11370 13265 13644 15918 17055 22740 23877 26530 31836 34110 39795 47754 53060 68220 79590 86113 95508 119385 159180 172226 238770 258339 344452 430565 477540 516678 602791 775017 861130 1033356 1205582 1291695 1550034 1722260 1808373 2411164 2583390 3013955 3100068 3616746 3875085 5166780 5425119 6027910 7233492 7750170 9041865 10850238 12055820 15500340 18083730 21700476 27125595 32636827 36167460 54251190 65273654 97910481 108502380 130547308 163184135 195820962 228457789 293731443 326368270 391641924 456915578 489552405 587462886 652736540 685373367 913831156 979104810 1142288945 1174925772 1370746734 1468657215 1958209620 2056120101 2284577890 2741493468 2937314430 3426866835 4112240202 4569155780 5874628860 6853733670 8224480404 10280600505 13707467340 20561201010 41122402020