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41214133141214 = 211731371733108089
BaseRepresentation
bin10010101111011111010011…
…10000111111111011011110
312101221000212210122002021112
421113233221300333323132
520400223021041004324
6223353302243102022
711452423432341065
oct1127575160777336
9171830783562245
1041214133141214
111214a8a7787360
1247576a9971912
1319cc625c39807
14a26abba571dc
154b711a589c0e
hex257be9c3fede

41214133141214 has 64 divisors (see below), whose sum is σ = 68904552553920. Its totient is φ = 18331448094720.

The previous prime is 41214133141213. The next prime is 41214133141253.

41214133141214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214133141213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381244082 + ... + 381352170.

It is an arithmetic number, because the mean of its divisors is an integer number (1076633633655).

Almost surely, 241214133141214 is an apocalyptic number.

41214133141214 is a deficient number, since it is larger than the sum of its proper divisors (27690419412706).

41214133141214 is a wasteful number, since it uses less digits than its factorization.

41214133141214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110045.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 4121413 and 3141214, that added together give a palindrome (7262627).

The spelling of 41214133141214 in words is "forty-one trillion, two hundred fourteen billion, one hundred thirty-three million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 11 22 73 137 146 274 803 1507 1606 1733 3014 3466 10001 19063 20002 38126 108089 110011 126509 216178 220022 237421 253018 474842 1188979 1391599 2377958 2611631 2783198 5223262 7890497 14808193 15780994 17331733 29616386 34663466 86795467 162890123 173590934 187318237 190649063 325780246 374636474 381298126 1080998089 2060500607 2161996178 4121001214 11890978979 13674231301 23781957958 25662598469 27348462602 51325196938 150416544311 282288583159 300833088622 564577166318 1873369688237 3746739376474 20607066570607 41214133141214