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4141045344 = 25349698681
BaseRepresentation
bin1111011011010011…
…0101011001100000
3101200121002220021210
43312310311121200
531440101422334
61522524550120
7204422206332
oct36664653140
911617086253
104141045344
11183556a727
129769b2340
1350cc067b7
142b3d8b452
151938365e9
hexf6d35660

4141045344 has 48 divisors (see below), whose sum is σ = 10873684080. Its totient is φ = 1379911680.

The previous prime is 4141045319. The next prime is 4141045361. The reversal of 4141045344 is 4435401414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 472684 + ... + 481364.

It is an arithmetic number, because the mean of its divisors is an integer number (226535085).

Almost surely, 24141045344 is an apocalyptic number.

It is an amenable number.

4141045344 is an abundant number, since it is smaller than the sum of its proper divisors (6732638736).

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

4141045344 is a wasteful number, since it uses less digits than its factorization.

4141045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13663 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4141045344 is about 64350.9544917556. The cubic root of 4141045344 is about 1605.8439086375.

Adding to 4141045344 its reverse (4435401414), we get a palindrome (8576446758).

The spelling of 4141045344 in words is "four billion, one hundred forty-one million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4969 8681 9938 14907 17362 19876 26043 29814 34724 39752 52086 59628 69448 79504 104172 119256 138896 159008 208344 238512 277792 416688 477024 833376 43135889 86271778 129407667 172543556 258815334 345087112 517630668 690174224 1035261336 1380348448 2070522672 4141045344