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41441413141240 = 2357148005046933
BaseRepresentation
bin10010110110000110101001…
…01101011001001011111000
312102201202112100001100122021
421123003110231121023320
520412434003231004430
6224045531122204224
711505020564431630
oct1133032455311370
9172652470040567
1041441413141240
1112228228385322
1247937594b3674
131a17ba6c53c28
14a33abcc256c0
154bcebd95207a
hex25b0d4b592f8

41441413141240 has 32 divisors (see below), whose sum is σ = 106563633792480. Its totient is φ = 14208484505472.

The previous prime is 41441413141223. The next prime is 41441413141267. The reversal of 41441413141240 is 4214131414414.

41441413141240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41441413141196 and 41441413141205.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 74002523187 + ... + 74002523746.

It is an arithmetic number, because the mean of its divisors is an integer number (3330113556015).

Almost surely, 241441413141240 is an apocalyptic number.

41441413141240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41441413141240 is an abundant number, since it is smaller than the sum of its proper divisors (65122220651240).

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

41441413141240 is a wasteful number, since it uses less digits than its factorization.

41441413141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148005046951 (or 148005046947 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 41441413141240 its reverse (4214131414414), we get a palindrome (45655544555654).

The spelling of 41441413141240 in words is "forty-one trillion, four hundred forty-one billion, four hundred thirteen million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 148005046933 296010093866 592020187732 740025234665 1036035328531 1184040375464 1480050469330 2072070657062 2960100938660 4144141314124 5180176642655 5920201877320 8288282628248 10360353285310 20720706570620 41441413141240