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41133833114 = 21121734928649
BaseRepresentation
bin100110010011110001…
…000111101110011010
310221011200120020010112
4212103301013232122
51133220230124424
630521400444322
72654222545463
oct462361075632
9127150506115
1041133833114
1116498a81700
127b7b7796a2
133b56c4ab2a
141dc2dd5d6a
15110b30260e
hex993c47b9a

41133833114 has 48 divisors (see below), whose sum is σ = 72017505000. Its totient is φ = 17546327040.

The previous prime is 41133833107. The next prime is 41133833161.

41133833114 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 40287314089 + 846519025 = 200717^2 + 29095^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1421462 + ... + 1450110.

Almost surely, 241133833114 is an apocalyptic number.

41133833114 is a deficient number, since it is larger than the sum of its proper divisors (30883671886).

41133833114 is a wasteful number, since it uses less digits than its factorization.

41133833114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29039 (or 29028 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 41133833114 in words is "forty-one billion, one hundred thirty-three million, eight hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 11 17 22 34 121 187 242 349 374 698 2057 3839 4114 5933 7678 11866 28649 42229 57298 65263 84458 130526 315139 487033 630278 717893 974066 1435786 3466529 5357363 6933058 9998501 10714726 19997002 58930993 109983511 117861986 169974517 219967022 339949034 1209818621 1869719687 2419637242 3739439374 20566916557 41133833114