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41113100304 = 24324131122391
BaseRepresentation
bin100110010010100010…
…000010000000010000
310221010020112220001200
4212102202002000100
51133144423202204
630515340231200
72653551405123
oct462242020020
9127106486050
1041113100304
1116488300851
127b7483b500
133b5286bcb3
141dc035a3ba
1511095a9539
hex992882010

41113100304 has 120 divisors (see below), whose sum is σ = 118250181504. Its totient is φ = 13326528000.

The previous prime is 41113100293. The next prime is 41113100419. The reversal of 41113100304 is 40300131114.

41113100304 is a `hidden beast` number, since 41 + 11 + 310 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1824949 + ... + 1847339.

Almost surely, 241113100304 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 41113100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59125090752).

41113100304 is an abundant number, since it is smaller than the sum of its proper divisors (77137081200).

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

41113100304 is a wasteful number, since it uses less digits than its factorization.

41113100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22757 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41113100304 its reverse (40300131114), we get a palindrome (81413231418).

The spelling of 41113100304 in words is "forty-one billion, one hundred thirteen million, one hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 311 328 369 492 622 656 738 933 984 1244 1476 1866 1968 2488 2799 2952 3732 4976 5598 5904 7464 11196 12751 14928 22391 22392 25502 38253 44782 44784 51004 67173 76506 89564 102008 114759 134346 153012 179128 201519 204016 229518 268692 306024 358256 403038 459036 537384 612048 806076 918031 918072 1074768 1612152 1836062 1836144 2754093 3224304 3672124 5508186 6963601 7344248 8262279 11016372 13927202 14688496 16524558 20890803 22032744 27854404 33049116 41781606 44065488 55708808 62672409 66098232 83563212 111417616 125344818 132196464 167126424 250689636 285507641 334252848 501379272 571015282 856522923 1002758544 1142030564 1713045846 2284061128 2569568769 3426091692 4568122256 5139137538 6852183384 10278275076 13704366768 20556550152 41113100304