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41404110100 = 225223831072027
BaseRepresentation
bin100110100011111000…
…001001010100010100
310221212112010201110021
4212203320021110110
51134243423010400
631004253434524
72664014062153
oct464370112424
9127775121407
1041404110100
11166175a4811
12803619ba44
133b9ac3ca42
14200ac6d59a
151124dde71a
hex9a3e09514

41404110100 has 144 divisors (see below), whose sum is σ = 95816867328. Its totient is φ = 15496792960.

The previous prime is 41404110073. The next prime is 41404110103. The reversal of 41404110100 is 101140414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41404110103) 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, 20425287 + ... + 20427313.

It is an arithmetic number, because the mean of its divisors is an integer number (665394912).

Almost surely, 241404110100 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 41404110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47908433664).

41404110100 is an abundant number, since it is smaller than the sum of its proper divisors (54412757228).

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

41404110100 is a wasteful number, since it uses less digits than its factorization.

41404110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41404110100 its reverse (101140414), we get a palindrome (41505250514).

The spelling of 41404110100 in words is "forty-one billion, four hundred four million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 83 92 100 107 115 166 214 230 332 415 428 460 535 575 830 1070 1150 1660 1909 2027 2075 2140 2300 2461 2675 3818 4054 4150 4922 5350 7636 8108 8300 8881 9545 9844 10135 10700 12305 17762 19090 20270 24610 35524 38180 40540 44405 46621 47725 49220 50675 61525 88810 93242 95450 101350 123050 168241 177620 186484 190900 202700 204263 216889 222025 233105 246100 336482 408526 433778 444050 466210 672964 817052 841205 867556 888100 932420 1021315 1084445 1165525 1682410 2042630 2168890 2331050 3364820 3869543 4085260 4206025 4337780 4662100 4988447 5106575 5422225 7739086 8412050 9976894 10213150 10844450 15478172 16824100 18001787 19347715 19953788 20426300 21688900 24942235 36003574 38695430 49884470 72007148 77390860 90008935 96738575 99768940 124711175 180017870 193477150 249422350 360035740 386954300 414041101 450044675 498844700 828082202 900089350 1656164404 1800178700 2070205505 4140411010 8280822020 10351027525 20702055050 41404110100