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41441324312334 = 235319940910311553
BaseRepresentation
bin10010110110000110011110…
…11010100010011100001110
312102201202022010220101021210
421123003033122202130032
520412433313010443314
6224045514230235250
711505015435414342
oct1133031732423416
9172652263811253
1041441324312334
1112228192223901
1247937337b5b26
131a17b9172204b
14a33ab1101622
154bceb5c57559
hex25b0cf6a270e

41441324312334 has 128 divisors (see below), whose sum is σ = 85215691008000. Its totient is φ = 13430359388160.

The previous prime is 41441324312303. The next prime is 41441324312371. The reversal of 41441324312334 is 43321342314414.

41441324312334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41441324312292 and 41441324312301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26684689702 + ... + 26684691254.

It is an arithmetic number, because the mean of its divisors is an integer number (665747586000).

Almost surely, 241441324312334 is an apocalyptic number.

41441324312334 is an abundant number, since it is smaller than the sum of its proper divisors (43774366695666).

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

41441324312334 is a wasteful number, since it uses less digits than its factorization.

41441324312334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250.

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

Adding to 41441324312334 its reverse (43321342314414), we get a palindrome (84762666626748).

The spelling of 41441324312334 in words is "forty-one trillion, four hundred forty-one billion, three hundred twenty-four million, three hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 53 106 159 199 318 398 409 597 818 1031 1194 1227 1553 2062 2454 3093 3106 4659 6186 9318 10547 21094 21677 31641 43354 54643 63282 65031 81391 82309 109286 130062 162782 163929 164618 205169 244173 246927 309047 327858 410338 421679 488346 493854 615507 618094 635177 843358 927141 1231014 1265037 1270354 1601143 1854282 1905531 2530074 3202286 3811062 4313723 4803429 8627446 9606858 10873957 12941169 16379491 21747914 22348987 25882338 32621871 32758982 33664381 44697974 49138473 65243742 67046961 67328762 83914121 84860579 98276946 100993143 126400223 134093922 167828242 169721158 201986286 251742363 252800446 254581737 318627457 379200669 503484726 509163474 637254914 654867487 758401338 955882371 1309734974 1911764742 1964602461 3929204922 4447448413 6699211819 8894896826 13342345239 13398423638 16887255221 20097635457 26684690478 33774510442 34707976811 40195270914 50661765663 69415953622 101323531326 104123930433 130318629913 208247860866 260637259826 390955889739 781911779478 6906887385389 13813774770778 20720662156167 41441324312334