Search a number
-
+
41044533544014 = 237111364310628183
BaseRepresentation
bin10010101010100011011001…
…10101111000010001001110
312101022211010010001212112120
421111101230311320101032
520334433201041402024
6223143333131113410
711434240542503040
oct1125215465702116
9171284103055476
1041044533544014
111209498617a7a0
12472a8572a2866
1319b9637c35480
14a1c7cd24ba90
154b29e0e82479
hex25546cd7844e

41044533544014 has 128 divisors (see below), whose sum is σ = 110388910399488. Its totient is φ = 9825541695360.

The previous prime is 41044533544009. The next prime is 41044533544019.

41044533544014 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (41044533544009) and next prime (41044533544019).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41044533544019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1452234 + ... + 9175949.

It is an arithmetic number, because the mean of its divisors is an integer number (862413362496).

Almost surely, 241044533544014 is an apocalyptic number.

41044533544014 is an abundant number, since it is smaller than the sum of its proper divisors (69344376855474).

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

41044533544014 is a wasteful number, since it uses less digits than its factorization.

41044533544014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628862.

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 4104453 and 3544014, that added together give a palindrome (7648467).

The spelling of 41044533544014 in words is "forty-one trillion, forty-four billion, five hundred thirty-three million, five hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 643 858 1001 1286 1929 2002 3003 3858 4501 6006 7073 8359 9002 13503 14146 16718 21219 25077 27006 42438 49511 50154 58513 91949 99022 117026 148533 175539 183898 275847 297066 351078 551694 643643 1287286 1930929 3861858 10628183 21256366 31884549 63769098 74397281 116910013 138166379 148794562 223191843 233820026 276332758 350730039 414499137 446383686 701460078 818370091 828998274 967164653 1519830169 1636740182 1934329306 2455110273 2901493959 3039660338 4559490507 4910220546 5802987918 6833921669 9118981014 10638811183 13667843338 20501765007 21277622366 31916433549 41003530014 47837451683 63832867098 75173138359 88840981697 95674903366 143512355049 150346276718 177681963394 225519415077 266522945091 287024710098 451038830154 526211968513 533045890182 621886871879 977250798667 1052423937026 1243773743758 1578635905539 1865660615637 1954501597334 2931752396001 3157271811078 3731321231274 5863504792002 6840755590669 13681511181338 20522266772007 41044533544014