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331144112021214 = 234112892381438601
BaseRepresentation
bin100101101001011000111111…
…1001010101001111011011110
31121102111001211112020222020110
41023102301333022221323132
5321400431120134134324
63132141301022430450
7126515241536661552
oct11322617712517336
91542431745228213
10331144112021214
119657047a365a48
1231181b45132426
13112a09a958561b
145bab663a0b862
152843c41ac2329
hex12d2c7f2a9ede

331144112021214 has 64 divisors (see below), whose sum is σ = 679254636594240. Its totient is φ = 107560158720000.

The previous prime is 331144112021213. The next prime is 331144112021249. The reversal of 331144112021214 is 412120211441133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331144112021213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754781514 + ... + 755220114.

It is an arithmetic number, because the mean of its divisors is an integer number (10613353696785).

Almost surely, 2331144112021214 is an apocalyptic number.

331144112021214 is an abundant number, since it is smaller than the sum of its proper divisors (348110524573026).

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

331144112021214 is a wasteful number, since it uses less digits than its factorization.

331144112021214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442317.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 331144112021214 its reverse (412120211441133), we get a palindrome (743264323462347).

The spelling of 331144112021214 in words is "three hundred thirty-one trillion, one hundred forty-four billion, one hundred twelve million, twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 41 82 123 246 1289 2381 2578 3867 4762 7143 7734 14286 52849 97621 105698 158547 195242 292863 317094 438601 585726 877202 1315803 2631606 3069109 6138218 9207327 17982641 18414654 35965282 53947923 107895846 125833469 251666938 377500407 565356689 755000814 1044308981 1130713378 1696070067 2088617962 3132926943 3392140134 6265853886 23179624249 42816668221 46359248498 69538872747 85633336442 128450004663 139077745494 256900009326 1346114276509 2692228553018 4038342829527 8076685659054 55190685336869 110381370673738 165572056010607 331144112021214