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41387864221314 = 232132695147127747
BaseRepresentation
bin10010110100100010111001…
…11100011110011010000010
312102112122022102022101002200
421122101130330132122002
520411044321220040224
6224005153343054030
711501113600220562
oct1132213474363202
9172478272271080
1041387864221314
11122075494121a6
1247852b3ba1316
131a12b21b79cb0
14a3127d040da2
154bb8d773a5c9
hex25a45cf1e682

41387864221314 has 96 divisors (see below), whose sum is σ = 96950277103680. Its totient is φ = 12684822155136.

The previous prime is 41387864221303. The next prime is 41387864221367. The reversal of 41387864221314 is 41312246878314.

41387864221314 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 7 + 86 + 422 + 131 + 4 = 666.

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, 323919189 + ... + 324046935.

It is an arithmetic number, because the mean of its divisors is an integer number (1009898719830).

Almost surely, 241387864221314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41387864221314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48475138551840).

41387864221314 is an abundant number, since it is smaller than the sum of its proper divisors (55562412882366).

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

41387864221314 is a wasteful number, since it uses less digits than its factorization.

41387864221314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133184 (or 133181 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 41387864221314 in words is "forty-one trillion, three hundred eighty-seven billion, eight hundred sixty-four million, two hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 269 538 807 1614 2421 3497 4842 5147 6994 10294 10491 15441 20982 30882 31473 46323 62946 66911 92646 127747 133822 200733 255494 383241 401466 602199 766482 1149723 1204398 1384543 1660711 2299446 2769086 3321422 4153629 4982133 8307258 9964266 12460887 14946399 17999059 24921774 29892798 34363943 35998118 53997177 68727886 103091829 107994354 161991531 206183658 309275487 323983062 446731259 618550974 657513809 893462518 1315027618 1340193777 1972541427 2680387554 3945082854 4020581331 5917624281 8041162662 8547679517 11835248562 17095359034 25643038551 51286077102 76929115653 153858231306 176871214621 353742429242 530613643863 1061227287726 1591840931589 2299325790073 3183681863178 4598651580146 6897977370219 13795954740438 20693932110657 41387864221314