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31324144122224 = 24177312740130977
BaseRepresentation
bin1110001111101001110000…
…11110111011100101110000
311002220120002110110200221022
413013310320132323211300
513101203321343402344
6150342040235115012
76412044330620522
oct707647036734560
9132816073420838
1031324144122224
119a87549813668
12361a9b45a2a68
131462b14654435
147a414d369a12
15394c2d6ad0ee
hex1c7d387bb970

31324144122224 has 160 divisors (see below), whose sum is σ = 65819611846656. Its totient is φ = 14387930726400.

The previous prime is 31324144122221. The next prime is 31324144122269. The reversal of 31324144122224 is 42222144142313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31324144122221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011191024 + ... + 1011222000.

Almost surely, 231324144122224 is an apocalyptic number.

31324144122224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31324144122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32909805923328).

31324144122224 is an abundant number, since it is smaller than the sum of its proper divisors (34495467724432).

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

31324144122224 is a wasteful number, since it uses less digits than its factorization.

31324144122224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31603 (or 31597 counting only the distinct ones).

The product of its digits is 73728, while the sum is 35.

Adding to 31324144122224 its reverse (42222144142313), we get a palindrome (73546288264537).

The spelling of 31324144122224 in words is "thirty-one trillion, three hundred twenty-four billion, one hundred forty-four million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 73 127 136 146 254 272 292 401 508 584 802 1016 1168 1241 1604 2032 2159 2482 3208 4318 4964 6416 6817 8636 9271 9928 13634 17272 18542 19856 27268 29273 30977 34544 37084 50927 54536 58546 61954 74168 101854 109072 117092 123908 148336 157607 203708 234184 247816 315214 407416 468368 495632 497641 526609 630428 814832 865759 995282 1053218 1260856 1731518 1990564 2106436 2261321 2521712 3463036 3717671 3934079 3981128 4212872 4522642 6926072 7435342 7868158 7962256 8425744 9045284 12421777 13852144 14870684 15736316 18090568 24843554 29741368 31472632 36181136 38442457 49687108 59482736 62945264 63200407 66879343 76884914 99374216 126400814 133758686 153769828 198748432 211170209 252801628 267517372 287187767 307539656 422340418 505603256 535034744 574375534 615079312 844680836 906789721 1011206512 1070069488 1148751068 1577565679 1689361672 1813579442 2297502136 3155131358 3378723344 3627158884 4595004272 4882192039 6310262716 7254317768 9764384078 12620525432 14508635536 15415425257 19528768156 25241050864 26818616543 30830850514 39057536312 53637233086 61661701028 78115072624 107274466172 115162294567 123323402056 214548932344 230324589134 246646804112 429097864688 460649178268 921298356536 1842596713072 1957759007639 3915518015278 7831036030556 15662072061112 31324144122224