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41422541200 = 2452103556353
BaseRepresentation
bin100110100100111110…
…011101000110010000
310221220210211010011121
4212210332131012100
51134313132304300
631010152452024
72664326535145
oct464476350620
9127823733147
1041422541200
1116626a43327
1280403aa014
133ba19c4011
14200d4aa3cc
15112683081a
hex9a4f9d190

41422541200 has 30 divisors (see below), whose sum is σ = 99517656194. Its totient is φ = 16569016320.

The previous prime is 41422541197. The next prime is 41422541221. The reversal of 41422541200 is 214522414.

It can be written as a sum of positive squares in 3 ways, for example, as 1204645264 + 40217895936 = 34708^2 + 200544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51777777 + ... + 51778576.

Almost surely, 241422541200 is an apocalyptic number.

41422541200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41422541200 is an abundant number, since it is smaller than the sum of its proper divisors (58095114994).

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

41422541200 is a wasteful number, since it uses less digits than its factorization.

41422541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103556371 (or 103556360 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 41422541200 in words is "forty-one billion, four hundred twenty-two million, five hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 103556353 207112706 414225412 517781765 828450824 1035563530 1656901648 2071127060 2588908825 4142254120 5177817650 8284508240 10355635300 20711270600 41422541200