Search a number
-
+
41131133140 = 22517243732267
BaseRepresentation
bin100110010011100110…
…110100100011010100
310221011111111001110111
4212103212310203110
51133214032230030
630521222532404
72654160602026
oct462346644324
9127144431414
1041131133140
11164974a8119
127b7a897104
133b56513c06
141dc28d2016
15110ae6c62a
hex9939b48d4

41131133140 has 144 divisors (see below), whose sum is σ = 95217135552. Its totient is φ = 14910787584.

The previous prime is 41131133137. The next prime is 41131133159. The reversal of 41131133140 is 4133113114.

It is a super-2 number, since 2×411311331402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 18142287 + ... + 18144553.

It is an arithmetic number, because the mean of its divisors is an integer number (661230108).

Almost surely, 241131133140 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 41131133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47608567776).

41131133140 is an abundant number, since it is smaller than the sum of its proper divisors (54086002412).

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

41131133140 is a wasteful number, since it uses less digits than its factorization.

41131133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 41131133140 its reverse (4133113114), we get a palindrome (45264246254).

The spelling of 41131133140 in words is "forty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 73 85 86 146 170 172 215 289 292 340 365 430 578 730 731 860 1156 1241 1445 1460 1462 2267 2482 2890 2924 3139 3655 4534 4964 5780 6205 6278 7310 9068 11335 12410 12427 12556 14620 15695 21097 22670 24820 24854 31390 38539 42194 45340 49708 53363 62135 62780 77078 84388 97481 105485 106726 124270 154156 165491 192695 194962 210970 213452 248540 266815 330982 385390 389924 421940 487405 533630 655163 661964 770780 827455 907171 974810 1067260 1310326 1654910 1657177 1814342 1949620 2620652 2813347 3275815 3309820 3314354 3628684 4535855 5626694 6551630 6628708 7116113 8285885 9071710 11253388 13103260 14066735 14232226 16571770 18143420 28133470 28172009 28464452 33143540 35580565 47826899 56266940 56344018 71161130 95653798 112688036 120973921 140860045 142322260 191307596 239134495 241947842 281720090 478268990 483895684 563440180 604869605 956537980 1209739210 2056556657 2419478420 4113113314 8226226628 10282783285 20565566570 41131133140