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41166364140 = 223251193722189
BaseRepresentation
bin100110010101101101…
…001101110111101100
310221020221202222022100
4212111231031313230
51133302042123030
630524522015100
72655066215226
oct462555156754
9127227688270
1041166364140
1116505380750
127b8a647490
133b608cab65
141dc7463416
15110e0cb360
hex995b4ddec

41166364140 has 144 divisors (see below), whose sum is σ = 136374769440. Its totient is φ = 9968624640.

The previous prime is 41166364133. The next prime is 41166364157. The reversal of 41166364140 is 4146366114.

41166364140 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 6 + 3 + 641 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41166364095 and 41166364104.

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, 1844166 + ... + 1866354.

It is an arithmetic number, because the mean of its divisors is an integer number (947047010).

Almost surely, 241166364140 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 41166364140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68187384720).

41166364140 is an abundant number, since it is smaller than the sum of its proper divisors (95208405300).

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

41166364140 is a wasteful number, since it uses less digits than its factorization.

41166364140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23152 (or 23147 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 41166364140 in words is "forty-one billion, one hundred sixty-six million, three hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 937 990 1874 1980 2811 3748 4685 5622 8433 9370 10307 11244 14055 16866 18740 20614 22189 28110 30921 33732 41228 42165 44378 51535 56220 61842 66567 84330 88756 92763 103070 110945 123684 133134 154605 168660 185526 199701 206140 221890 244079 266268 309210 332835 371052 399402 443780 463815 488158 618420 665670 732237 798804 927630 976316 998505 1220395 1331340 1464474 1855260 1997010 2196711 2440790 2928948 3661185 3994020 4393422 4881580 7322370 8786844 10983555 14644740 20791093 21967110 41582186 43934220 62373279 83164372 103955465 124746558 187119837 207910930 228702023 249493116 311866395 374239674 415821860 457404046 623732790 686106069 748479348 914808092 935599185 1143510115 1247465580 1372212138 1871198370 2058318207 2287020230 2744424276 3430530345 3742396740 4116636414 4574040460 6861060690 8233272828 10291591035 13722121380 20583182070 41166364140