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41680127391280 = 2457250112121869
BaseRepresentation
bin10010111101000011010010…
…01011111111011000110000
312110120120200202000201021021
421132201221023333120300
520430341400103010110
6224351330341105224
711531201261166400
oct1136415113773060
9173516622021237
1041680127391280
111230a49634a594
124811a7a3b8214
131a3455ab39861
14a41486822800
154c42e0a852da
hex25e8692ff630

41680127391280 has 120 divisors (see below), whose sum is σ = 112750281488880. Its totient is φ = 14287470865920.

The previous prime is 41680127391257. The next prime is 41680127391337. The reversal of 41680127391280 is 8219372108614.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18582186 + ... + 20704054.

It is an arithmetic number, because the mean of its divisors is an integer number (939585679074).

Almost surely, 241680127391280 is an apocalyptic number.

41680127391280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41680127391280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56375140744440).

41680127391280 is an abundant number, since it is smaller than the sum of its proper divisors (71070154097600).

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

41680127391280 is a wasteful number, since it uses less digits than its factorization.

41680127391280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126907 (or 2126894 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

Adding to 41680127391280 its reverse (8219372108614), we get a palindrome (49899499499894).

The spelling of 41680127391280 in words is "forty-one trillion, six hundred eighty billion, one hundred twenty-seven million, three hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 5011 10022 20044 25055 35077 40088 50110 70154 80176 100220 140308 175385 200440 245539 280616 350770 400880 491078 561232 701540 982156 1227695 1403080 1964312 2121869 2455390 2806160 3928624 4243738 4910780 8487476 9821560 10609345 14853083 16974952 19643120 21218690 29706166 33949904 42437380 59412332 74265415 84874760 103971581 118824664 148530830 169749520 207943162 237649328 297061660 415886324 519857905 594123320 831772648 1039715810 1188246640 1663545296 2079431620 4158863240 8317726480 10632685559 21265371118 42530742236 53163427795 74428798913 85061484472 106326855590 148857597826 170122968944 212653711180 297715195652 372143994565 425307422360 521001592391 595430391304 744287989130 850614844720 1042003184782 1190860782608 1488575978260 2084006369564 2605007961955 2977151956520 4168012739128 5210015923910 5954303913040 8336025478256 10420031847820 20840063695640 41680127391280