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32314244443131 = 3741433794015743
BaseRepresentation
bin1110101100011101111110…
…00011111010101111111011
311020102012201020220022201010
413112032333003322233323
513213414033034140011
6152420543045125003
76543425046524430
oct726167703725773
9136365636808633
1032314244443131
11a329437615092
12375a8730b9763
1315052b29593a1
147da036ac5b87
153b087ac811a6
hex1d63bf0fabfb

32314244443131 has 128 divisors (see below), whose sum is σ = 51889086627840. Its totient is φ = 17502718464000.

The previous prime is 32314244443099. The next prime is 32314244443177. The reversal of 32314244443131 is 13134444241323.

It is not a de Polignac number, because 32314244443131 - 25 = 32314244443099 is a prime.

It is a super-2 number, since 2×323142444431312 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32314244443131.

It is not an unprimeable number, because it can be changed into a prime (32314244441131) 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 127 ways as a sum of consecutive naturals, for example, 5626715646 + ... + 5626721388.

It is an arithmetic number, because the mean of its divisors is an integer number (405383489280).

Almost surely, 232314244443131 is an apocalyptic number.

32314244443131 is a deficient number, since it is larger than the sum of its proper divisors (19574842184709).

32314244443131 is a wasteful number, since it uses less digits than its factorization.

32314244443131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617.

The product of its digits is 331776, while the sum is 39.

Adding to 32314244443131 its reverse (13134444241323), we get a palindrome (45448688684454).

The spelling of 32314244443131 in words is "thirty-two trillion, three hundred fourteen billion, two hundred forty-four million, four hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 41 43 123 129 287 301 379 401 861 903 1137 1203 1763 2653 2807 5289 5743 7959 8421 12341 15539 16297 16441 17229 17243 37023 40201 46617 48891 49323 51729 108773 114079 115087 120603 120701 151979 235463 246949 326319 342237 345261 362103 455937 668177 706389 706963 740847 1063853 1648241 1728643 2004531 2120889 2176597 2302943 3191559 4677239 4944723 4948741 5185929 6231139 6529791 6535097 6908829 10124909 14031717 14846223 15236179 16120601 18693417 19605291 30374727 43617973 45708537 45745679 48361803 70874363 89240477 93593671 94420663 99026549 130853919 137237037 212623089 267721431 267938977 280781013 283261989 297079647 624683339 655155697 660944641 693185843 803816931 872815397 1874050017 1875572839 1965467091 1982833923 2079557529 2618446191 3837340511 4060088509 5626718517 6109707779 11512021533 12180265527 18329123337 26861383577 28420619563 35785431277 37531062071 80584150731 85261858689 107356293831 112593186213 250498018939 262717434497 751494056817 788152303491 1538773544911 4616320634733 10771414814377 32314244443131