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41411042144320 = 265174174330561
BaseRepresentation
bin10010110101001110000100…
…11101001111000001000000
312102121212010201122212011111
421122213002131033001000
520411434303242104240
6224023545314253104
711502564141265252
oct1132470235170100
9172555121585144
1041411042144320
1112216362785872
1247898a2287194
131a15076a63834
14a3243b405cd2
154bc2e24931ea
hex25a9c274f040

41411042144320 has 56 divisors (see below), whose sum is σ = 98666685321048. Its totient is φ = 16554902323200.

The previous prime is 41411042144281. The next prime is 41411042144369. The reversal of 41411042144320 is 2344124011414.

It can be written as a sum of positive squares in 4 ways, for example, as 6952545485824 + 34458496658496 = 2636768^2 + 5870136^2 .

It is a super-2 number, since 2×414110421443202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36608161 + ... + 37722400.

Almost surely, 241411042144320 is an apocalyptic number.

41411042144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41411042144320 is an abundant number, since it is smaller than the sum of its proper divisors (57255643176728).

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

41411042144320 is a wasteful number, since it uses less digits than its factorization.

41411042144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74332319 (or 74332309 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 41411042144320 its reverse (2344124011414), we get a palindrome (43755166155734).

The spelling of 41411042144320 in words is "forty-one trillion, four hundred eleven billion, forty-two million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1741 3482 6964 8705 13928 17410 27856 34820 55712 69640 111424 139280 278560 557120 74330561 148661122 297322244 371652805 594644488 743305610 1189288976 1486611220 2378577952 2973222440 4757155904 5946444880 11892889760 23785779520 129409506701 258819013402 517638026804 647047533505 1035276053608 1294095067010 2070552107216 2588190134020 4141104214432 5176380268040 8282208428864 10352760536080 20705521072160 41411042144320