Search a number
-
+
41301242430 = 2357432106367
BaseRepresentation
bin100110011101101111…
…101111001000111110
310221121100120111112120
4212131233233020332
51134041104224210
630550140543410
72661324524340
oct463557571076
9127540514476
1041301242430
1116574524808
128007851b66
133b82833bb6
141ddb333290
15111ad70270
hex99dbef23e

41301242430 has 96 divisors (see below), whose sum is σ = 115980263424. Its totient is φ = 9220655808.

The previous prime is 41301242407. The next prime is 41301242441. The reversal of 41301242430 is 3424210314.

It is a self number, because there is not a number n which added to its sum of digits gives 41301242430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335107 + ... + 441473.

It is an arithmetic number, because the mean of its divisors is an integer number (1208127744).

Almost surely, 241301242430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41301242430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57990131712).

41301242430 is an abundant number, since it is smaller than the sum of its proper divisors (74679020994).

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

41301242430 is a wasteful number, since it uses less digits than its factorization.

41301242430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106470 (or 106427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41301242430 its reverse (3424210314), we get a palindrome (44725452744).

The spelling of 41301242430 in words is "forty-one billion, three hundred one million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 1849 3010 3698 4515 5547 9030 9245 11094 12943 18490 25886 27735 38829 55470 64715 77658 106367 129430 194145 212734 319101 388290 531835 638202 744569 1063670 1489138 1595505 2233707 3191010 3722845 4467414 4573781 7445690 9147562 11168535 13721343 22337070 22868905 27442686 32016467 45737810 64032934 68606715 96049401 137213430 160082335 192098802 196672583 320164670 393345166 480247005 590017749 960494010 983362915 1180035498 1376708081 1966725830 2753416162 2950088745 4130124243 5900177490 6883540405 8260248486 13767080810 20650621215 41301242430