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41304032040 = 23352330614889
BaseRepresentation
bin100110011101111010…
…011000001100101000
310221121112211020011110
4212131322120030220
51134042313011130
630550320430320
72661360323325
oct463572301450
9127545736143
1041304032040
111657605a677
1280087783a0
133b8329c85b
141ddb85bb4c
15111b221ab0
hex99de98328

41304032040 has 128 divisors (see below), whose sum is σ = 129368275200. Its totient is φ = 10529925120.

The previous prime is 41304032039. The next prime is 41304032057. The reversal of 41304032040 is 4023040314.

It is a super-2 number, since 2×413040320402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41304031998 and 41304032016.

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, 8445916 + ... + 8450804.

It is an arithmetic number, because the mean of its divisors is an integer number (1010689650).

Almost surely, 241304032040 is an apocalyptic number.

41304032040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41304032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64684137600).

41304032040 is an abundant number, since it is smaller than the sum of its proper divisors (88064243160).

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

41304032040 is a wasteful number, since it uses less digits than its factorization.

41304032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 41304032040 its reverse (4023040314), we get a palindrome (45327072354).

The spelling of 41304032040 in words is "forty-one billion, three hundred four million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 3061 4889 6122 9183 9778 12244 14667 15305 18366 19556 24445 24488 29334 30610 36732 39112 45915 48890 58668 61220 70403 73335 73464 91830 97780 112447 117336 122440 140806 146670 183660 195560 211209 224894 281612 293340 337341 352015 367320 422418 449788 562235 563224 586680 674682 704030 844836 899576 1056045 1124470 1349364 1408060 1686705 1689672 2112090 2248940 2698728 2816120 3373410 4224180 4497880 6746820 8448360 13493640 14965229 29930458 44895687 59860916 74826145 89791374 119721832 149652290 179582748 224478435 299304580 344200267 359165496 448956870 598609160 688400534 897913740 1032600801 1376801068 1721001335 1795827480 2065201602 2753602136 3442002670 4130403204 5163004005 6884005340 8260806408 10326008010 13768010680 20652016020 41304032040