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2441142100 = 225240496029
BaseRepresentation
bin1001000110000000…
…1101111101010100
320022010102212102101
42101200031331110
514444413021400
61042122051444
7114331236235
oct22140157524
96263385371
102441142100
111042a63211
12581649b84
132cb9922a7
141922cd08c
15e44a156a
hex9180df54

2441142100 has 36 divisors (see below), whose sum is σ = 5299465500. Its totient is φ = 976053760.

The previous prime is 2441142083. The next prime is 2441142139. The reversal of 2441142100 is 12411442.

It can be written as a sum of positive squares in 6 ways, for example, as 386884 + 2440755216 = 622^2 + 49404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401886 + ... + 407914.

It is an arithmetic number, because the mean of its divisors is an integer number (147207375).

Almost surely, 22441142100 is an apocalyptic number.

2441142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441142100 is an abundant number, since it is smaller than the sum of its proper divisors (2858323400).

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

2441142100 is a wasteful number, since it uses less digits than its factorization.

2441142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2441142100 is about 49407.9153577643. The cubic root of 2441142100 is about 1346.4731168369.

Adding to 2441142100 its reverse (12411442), we get a palindrome (2453553542).

The spelling of 2441142100 in words is "two billion, four hundred forty-one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4049 6029 8098 12058 16196 20245 24116 30145 40490 60290 80980 101225 120580 150725 202450 301450 404900 602900 24411421 48822842 97645684 122057105 244114210 488228420 610285525 1220571050 2441142100