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41424424100 = 22524354117807
BaseRepresentation
bin100110100101000101…
…101000110010100100
310221220221100210000122
4212211011220302210
51134314123032400
631010301101112
72664351536513
oct464505506244
9127827323018
1041424424100
1116628009a44
128040b57798
133ba2203067
14200d83a67a
151126aa3685
hex9a5168ca4

41424424100 has 72 divisors (see below), whose sum is σ = 92156684928. Its totient is φ = 16153603200.

The previous prime is 41424424061. The next prime is 41424424109. The reversal of 41424424100 is 142442414.

It is a self number, because there is not a number n which added to its sum of digits gives 41424424100.

It is not an unprimeable number, because it can be changed into a prime (41424424109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2317397 + ... + 2335203.

Almost surely, 241424424100 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 41424424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46078342464).

41424424100 is an abundant number, since it is smaller than the sum of its proper divisors (50732260828).

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

41424424100 is a wasteful number, since it uses less digits than its factorization.

41424424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18405 (or 18398 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 41424424100 its reverse (142442414), we get a palindrome (41566866514).

The spelling of 41424424100 in words is "forty-one billion, four hundred twenty-four million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 541 860 1075 1082 2150 2164 2705 4300 5410 10820 13525 17807 23263 27050 35614 46526 54100 71228 89035 93052 116315 178070 232630 356140 445175 465260 581575 765701 890350 1163150 1531402 1780700 2326300 3062804 3828505 7657010 9633587 15314020 19142525 19267174 38285050 38534348 48167935 76570100 96335870 192671740 240839675 414244241 481679350 828488482 963358700 1656976964 2071221205 4142442410 8284884820 10356106025 20712212050 41424424100