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41241544100 = 2252412415441
BaseRepresentation
bin100110011010001100…
…000000010110100100
310221110012020111211022
4212122030000112210
51133430313402400
630540205230312
72660001224621
oct463214002644
9127405214738
1041241544100
111654385a549
127bab862398
133b73361343
141dd3433348
1511159cbb85
hex99a3005a4

41241544100 has 18 divisors (see below), whose sum is σ = 89494150914. Its totient is φ = 16496617600.

The previous prime is 41241544093. The next prime is 41241544117. The reversal of 41241544100 is 144514214.

It can be written as a sum of positive squares in 3 ways, for example, as 428655616 + 40812888484 = 20704^2 + 202022^2 .

It is a super-3 number, since 3×412415441003 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41241544100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206207621 + ... + 206207820.

It is an arithmetic number, because the mean of its divisors is an integer number (4971897273).

Almost surely, 241241544100 is an apocalyptic number.

It is an amenable number.

41241544100 is an abundant number, since it is smaller than the sum of its proper divisors (48252606814).

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

41241544100 is a wasteful number, since it uses less digits than its factorization.

41241544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412415455 (or 412415448 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 41241544100 in words is "forty-one billion, two hundred forty-one million, five hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 412415441 824830882 1649661764 2062077205 4124154410 8248308820 10310386025 20620772050 41241544100