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41303424330 = 23257337194543
BaseRepresentation
bin100110011101111000…
…000011110101001010
310221121111200100112200
4212131320003311022
51134042134034310
630550255421030
72661352212510
oct463570036512
9127544610480
1041303424330
1116575785033
128008524776
133b8311906c
141ddb7404b0
15111b1519c0
hex99de03d4a

41303424330 has 96 divisors (see below), whose sum is σ = 123094992384. Its totient is φ = 9412720128.

The previous prime is 41303424317. The next prime is 41303424347. The reversal of 41303424330 is 3342430314.

41303424330 is a `hidden beast` number, since 4 + 1 + 303 + 4 + 24 + 330 = 666.

41303424330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413034243302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41303424294 and 41303424303.

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, 115039 + ... + 309581.

It is an arithmetic number, because the mean of its divisors is an integer number (1282239504).

Almost surely, 241303424330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41303424330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61547496192).

41303424330 is an abundant number, since it is smaller than the sum of its proper divisors (81791568054).

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

41303424330 is a wasteful number, since it uses less digits than its factorization.

41303424330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194900 (or 194897 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 41303424330 its reverse (3342430314), we get a palindrome (44645854644).

The spelling of 41303424330 in words is "forty-one billion, three hundred three million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 337 630 674 1011 1685 2022 2359 3033 3370 4718 5055 6066 7077 10110 11795 14154 15165 21231 23590 30330 35385 42462 70770 106155 194543 212310 389086 583629 972715 1167258 1361801 1750887 1945430 2723602 2918145 3501774 4085403 5836290 6809005 8170806 8754435 12256209 13618010 17508870 20427015 24512418 40854030 61281045 65560991 122562090 131121982 196682973 327804955 393365946 458926937 590048919 655609910 917853874 983414865 1180097838 1376780811 1966829730 2294634685 2753561622 2950244595 4130342433 4589269370 5900489190 6883904055 8260684866 13767808110 20651712165 41303424330