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41005331340 = 22358931124691
BaseRepresentation
bin100110001100000110…
…111011001110001100
310220211201202122211120
4212030012323032030
51132434331100330
630500530320540
72651102364651
oct461406731614
9126751678746
1041005331340
1116432493396
127b44729150
133b3643828c
141dadd05c28
1510eedbcc10
hex98c1bb38c

41005331340 has 96 divisors (see below), whose sum is σ = 116483028480. Its totient is φ = 10776691200.

The previous prime is 41005331329. The next prime is 41005331387. The reversal of 41005331340 is 4313350014.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41005331340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648395 + ... + 1673085.

It is an arithmetic number, because the mean of its divisors is an integer number (1213364880).

Almost surely, 241005331340 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 41005331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58241514240).

41005331340 is an abundant number, since it is smaller than the sum of its proper divisors (75477697140).

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

41005331340 is a wasteful number, since it uses less digits than its factorization.

41005331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25103 (or 25101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 41005331340 its reverse (4313350014), we get a palindrome (45318681354).

The spelling of 41005331340 in words is "forty-one billion, five million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 311 356 445 534 622 890 933 1068 1244 1335 1555 1780 1866 2670 3110 3732 4665 5340 6220 9330 18660 24691 27679 49382 55358 74073 83037 98764 110716 123455 138395 148146 166074 246910 276790 296292 332148 370365 415185 493820 553580 740730 830370 1481460 1660740 2197499 4394998 6592497 7678901 8789996 10987495 13184994 15357802 21974990 23036703 26369988 30715604 32962485 38394505 43949980 46073406 65924970 76789010 92146812 115183515 131849940 153578020 230367030 460734060 683422189 1366844378 2050266567 2733688756 3417110945 4100533134 6834221890 8201066268 10251332835 13668443780 20502665670 41005331340