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32344031120214 = 23112322789332159
BaseRepresentation
bin1110101101010101011100…
…11111000100101101010110
311020112001121010210022001110
413112222232133010231112
513214411033431321324
6152442350501035450
76545531146226532
oct726525637045526
9136461533708043
1032344031120214
11a3400323a6490
1237645a66b5b86
13150804ba80cb8
147db660a80bc2
153b1520cbd329
hex1d6aae7c4b56

32344031120214 has 96 divisors (see below), whose sum is σ = 73797076684800. Its totient is φ = 9371691820480.

The previous prime is 32344031120189. The next prime is 32344031120281. The reversal of 32344031120214 is 41202113044323.

It is a super-2 number, since 2×323440311202142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97209067 + ... + 97541225.

It is an arithmetic number, because the mean of its divisors is an integer number (768719548800).

Almost surely, 232344031120214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32344031120214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36898538342400).

32344031120214 is an abundant number, since it is smaller than the sum of its proper divisors (41453045564586).

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

32344031120214 is a wasteful number, since it uses less digits than its factorization.

32344031120214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335010 (or 334987 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 32344031120214 its reverse (41202113044323), we get a palindrome (73546144164537).

The spelling of 32344031120214 in words is "thirty-two trillion, three hundred forty-four billion, thirty-one million, one hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 1058 1518 1587 2789 3174 5578 5819 8367 11638 16734 17457 30679 34914 61358 64147 92037 128294 184074 192441 332159 384882 664318 705617 996477 1411234 1475381 1992954 2116851 2950762 3653749 4233702 4426143 7307498 7639657 8852286 10961247 15279314 16229191 21922494 22918971 32458382 45837942 48687573 84036227 97375146 168072454 175712111 252108681 351424222 504217362 527136333 926391451 1054272666 1852782902 1932833221 2779174353 3865666442 5558348706 5798499663 10190305961 11596999326 20380611922 21307003373 30570917883 42614006746 61141835766 63921010119 127842020238 234377037103 468754074206 490061077579 703131111309 980122155158 1406262222618 1470183232737 2940366465474 5390671853369 10781343706738 16172015560107 32344031120214