Search a number
-
+
541350401012220 = 223528573158035241
BaseRepresentation
bin111101100010110101111011…
…0010110011111000111111100
32121222202121000020020210221110
41323011223312112133013330
51031423441110124342340
65155204535130202020
7222012163411314522
oct17305536626370774
92558677006223843
10541350401012220
11147544463439538
1250871401b83310
131a30b17bbcc827
1497976dbb9a312
15428bb761e8680
hex1ec5af659f1fc

541350401012220 has 48 divisors (see below), whose sum is σ = 1516311673234848. Its totient is φ = 144309578327040.

The previous prime is 541350401012209. The next prime is 541350401012227. The reversal of 541350401012220 is 22210104053145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541350401012227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1578846201 + ... + 1579189040.

It is an arithmetic number, because the mean of its divisors is an integer number (31589826525726).

Almost surely, 2541350401012220 is an apocalyptic number.

It is an amenable number.

541350401012220 is an abundant number, since it is smaller than the sum of its proper divisors (974961272222628).

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

541350401012220 is a wasteful number, since it uses less digits than its factorization.

541350401012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158038110 (or 3158038108 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 541350401012220 its reverse (22210104053145), we get a palindrome (563560505065365).

The spelling of 541350401012220 in words is "five hundred forty-one trillion, three hundred fifty billion, four hundred one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2857 5714 8571 11428 14285 17142 28570 34284 42855 57140 85710 171420 3158035241 6316070482 9474105723 12632140964 15790176205 18948211446 31580352410 37896422892 47370528615 63160704820 94741057230 189482114460 9022506683537 18045013367074 27067520050611 36090026734148 45112533417685 54135040101222 90225066835370 108270080202444 135337600253055 180450133670740 270675200506110 541350401012220