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41489232354544 = 241310914927194517
BaseRepresentation
bin10010110111011111101101…
…11101001101110011110000
312102220022221221100002022111
421123233312331031303300
520414224421440321134
6224123520142015104
711511332566146652
oct1133576675156360
9172808857302274
1041489232354544
1112246537051017
1247a0a83b77494
131a1c557c5b610
14a36137a7a6d2
154be36bb22c64
hex25bbf6f4dcf0

41489232354544 has 160 divisors (see below), whose sum is σ = 88001242560000. Its totient is φ = 18834759954432.

The previous prime is 41489232354503. The next prime is 41489232354601. The reversal of 41489232354544 is 44545323298414.

It is a happy number.

It is a super-2 number, since 2×414892323545442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 9185127774 + ... + 9185132290.

It is an arithmetic number, because the mean of its divisors is an integer number (550007766000).

Almost surely, 241489232354544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41489232354544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44000621280000).

41489232354544 is an abundant number, since it is smaller than the sum of its proper divisors (46512010205456).

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

41489232354544 is a wasteful number, since it uses less digits than its factorization.

41489232354544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7509 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 58.

The spelling of 41489232354544 in words is "forty-one trillion, four hundred eighty-nine billion, two hundred thirty-two million, three hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 149 208 218 298 436 596 872 1192 1417 1744 1937 2384 2719 2834 3874 4517 5438 5668 7748 9034 10876 11336 15496 16241 18068 21752 22672 30992 32482 35347 36136 43504 58721 64964 70694 72272 117442 129928 141388 211133 234884 259856 282776 296371 405131 422266 469768 492353 565552 592742 673033 810262 844532 939536 984706 1185484 1346066 1620524 1689064 1969412 2370968 2692132 3241048 3378128 3852823 3938824 4741936 5266703 5384264 6400589 6482096 7705646 7877648 8749429 10533406 10768528 12281723 12801178 15411292 17498858 21066812 24563446 25602356 30822584 34997716 42133624 44159279 49126892 51204712 61645168 69995432 73360597 84267248 88318558 98253784 102409424 139990864 146721194 159662399 176637116 196507568 293442388 319324798 353274232 574070627 586884776 638649596 706548464 953687761 1148141254 1173769552 1277299192 1338707807 1829976727 1907375522 2296282508 2554598384 2677415614 3659953454 3814751044 4592565016 5354831228 7319906908 7629502088 9185130032 10709662456 14639813816 15259004176 17403201491 21419324912 23789697451 29279627632 34806402982 47579394902 69612805964 95158789804 139225611928 190317579608 199467463243 278451223856 380635159216 398934926486 797869852972 1595739705944 2593077022159 3191479411888 5186154044318 10372308088636 20744616177272 41489232354544