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41120202114 = 23261101370793
BaseRepresentation
bin100110010010111101…
…000111110110000010
310221010201220200220200
4212102331013312002
51133203232431424
630520152350030
72653665644115
oct462275076602
9127121820820
1041120202114
1116491311512
127b770a5316
133b54187654
141dc128857c
15110a00d8c9
hex992f47d82

41120202114 has 48 divisors (see below), whose sum is σ = 91451148984. Its totient is φ = 13348512000.

The previous prime is 41120202103. The next prime is 41120202121.

41120202114 is a `hidden beast` number, since 411 + 20 + 20 + 211 + 4 = 666.

41120202114 is nontrivially palindromic in base 10.

41120202114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34887889089 + 6232313025 = 186783^2 + 78945^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74499 + ... + 296294.

Almost surely, 241120202114 is an apocalyptic number.

41120202114 is an abundant number, since it is smaller than the sum of its proper divisors (50330946870).

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

41120202114 is a wasteful number, since it uses less digits than its factorization.

41120202114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370963 (or 370960 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 41120202114 in words is "forty-one billion, one hundred twenty million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 61 101 122 183 202 303 366 549 606 909 1098 1818 6161 12322 18483 36966 55449 110898 370793 741586 1112379 2224758 3337137 6674274 22618373 37450093 45236746 67855119 74900186 112350279 135710238 203565357 224700558 337050837 407130714 674101674 2284455673 4568911346 6853367019 13706734038 20560101057 41120202114