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41234311343214 = 23211434843118551
BaseRepresentation
bin10010110000000100111000…
…11110101110110001101110
312101222221222001110221201100
421120002130132232301232
520401040332200440324
6223410440420023530
711454036450254253
oct1130023436566156
9171887861427640
1041234311343214
1112158411860160
12475b59b531ba6
131a014c0508b02
14a27a7388942a
154b78ebca64c9
hex25809c7aec6e

41234311343214 has 48 divisors (see below), whose sum is σ = 99729497222784. Its totient is φ = 12204658746000.

The previous prime is 41234311343201. The next prime is 41234311343227.

41234311343214 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 431 + 1 + 3 + 4 + 3 + 214 = 666.

41234311343214 is nontrivially palindromic in base 10.

41234311343214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41234311343201) and next prime (41234311343227).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421550762 + ... + 2421567789.

It is an arithmetic number, because the mean of its divisors is an integer number (2077697858808).

Almost surely, 241234311343214 is an apocalyptic number.

41234311343214 is an abundant number, since it is smaller than the sum of its proper divisors (58495185879570).

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

41234311343214 is a wasteful number, since it uses less digits than its factorization.

41234311343214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843118613 (or 4843118610 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 4123431 and 1343214, that added together give a palindrome (5466645).

The spelling of 41234311343214 in words is "forty-one trillion, two hundred thirty-four billion, three hundred eleven million, three hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 4843118551 9686237102 14529355653 29058711306 43588066959 53274304061 87176133918 106548608122 159822912183 208254097693 319645824366 416508195386 479468736549 624762293079 958937473098 1249524586158 1874286879237 2290795074623 3748573758474 4581590149246 6872385223869 13744770447738 20617155671607 41234311343214