Search a number
-
+
41445544424319 = 327343331943289
BaseRepresentation
bin10010110110001110010101…
…11100111111001101111111
312102202011012020210021121200
421123013022330333031333
520413020433333034234
6224051453102030543
711505225140652000
oct1133071274771577
9172664166707550
1041445544424319
1112229a58387462
124794510b78453
131a183b4b20129
14a33d917911a7
154bd1614aad99
hex25b1caf3f37f

41445544424319 has 96 divisors (see below), whose sum is σ = 71653817664000. Its totient is φ = 23062486043520.

The previous prime is 41445544424261. The next prime is 41445544424321. The reversal of 41445544424319 is 91342444554414.

41445544424319 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 5 + 544 + 42 + 43 + 19 = 666.

It is not a de Polignac number, because 41445544424319 - 217 = 41445544293247 is a prime.

It is a super-2 number, since 2×414455444243192 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41445544424329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43465627 + ... + 44408915.

It is an arithmetic number, because the mean of its divisors is an integer number (746393934000).

Almost surely, 241445544424319 is an apocalyptic number.

41445544424319 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41445544424319 is a deficient number, since it is larger than the sum of its proper divisors (30208273239681).

41445544424319 is a wasteful number, since it uses less digits than its factorization.

41445544424319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943690 (or 943673 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 41445544424319 in words is "forty-one trillion, four hundred forty-five billion, five hundred forty-four million, four hundred twenty-four thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 331 343 387 441 903 993 1029 2107 2317 2709 2979 3087 6321 6951 14233 14749 16219 18963 20853 42699 44247 48657 99631 113533 128097 132741 145971 298893 340599 697417 896679 943289 1021797 2092251 2829867 4881919 6276753 6603023 8489601 14645757 19809069 40561427 43937271 46221161 59427207 121684281 138663483 283929989 312228659 323548127 365052843 415990449 851789967 936685977 970644381 1987509923 2185600613 2555369901 2810057931 2911933143 5962529769 6556801839 13425832337 13912569461 15299204291 17887589307 19670405517 40277497011 41737708383 45897612873 93980826359 107094430037 120832491033 125213125149 137692838619 281942479077 321283290111 657865784513 845827437231 963849870333 1973597353539 4605060491591 5920792060617 13815181474773 41445544424319