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41400301031331 = 31117363164117929
BaseRepresentation
bin10010110100111010000100…
…01111001000111110100011
312102120211102011100210010220
421122131002033020332203
520411300304031000311
6224015011415054123
711502034024320114
oct1132350217107643
9172524364323126
1041400301031331
11122118506a0690
1247877a5071343
131a14054670988
14a31adca8620b
154bbdb44e1206
hex25a7423c8fa3

41400301031331 has 64 divisors (see below), whose sum is σ = 60760715811840. Its totient is φ = 24866279424000.

The previous prime is 41400301031311. The next prime is 41400301031351. The reversal of 41400301031331 is 13313010300414.

41400301031331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41400301031311) and next prime (41400301031351).

It is not a de Polignac number, because 41400301031331 - 213 = 41400301023139 is a prime.

It is a super-2 number, since 2×414003010313312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41400301031311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2309115975 + ... + 2309133903.

It is an arithmetic number, because the mean of its divisors is an integer number (949386184560).

Almost surely, 241400301031331 is an apocalyptic number.

41400301031331 is a deficient number, since it is larger than the sum of its proper divisors (19360414780509).

41400301031331 is a wasteful number, since it uses less digits than its factorization.

41400301031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19388.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 41400301031331 its reverse (13313010300414), we get a palindrome (54713311331745).

The spelling of 41400301031331 in words is "forty-one trillion, four hundred billion, three hundred one million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 173 519 631 641 1893 1903 1923 5709 6941 7051 17929 20823 21153 53787 109163 110893 197219 327489 332679 404471 591657 1200793 1213413 1219823 3101717 3602379 3659469 4449181 9305151 11313199 11492489 13347543 33939597 34118887 34477467 69973483 102356661 124445189 126417379 209920449 373335567 379252137 769708313 1957183427 1988200597 2309124939 5871550281 5964601791 7251760559 21529017697 21755281677 21870206567 64587053091 65610619701 79769366149 239308098447 1254554576707 3763663730121 13800100343777 41400301031331