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41402011031040 = 2935111925793717
BaseRepresentation
bin10010110100111101010000…
…01010010001011000000000
312102120222211100000202202110
421122132220022101120000
520411312304310443130
6224015453222215320
711502124300141032
oct1132365012213000
9172528740022673
1041402011031040
1112212548973790
124787ba1884540
131a14267a0b91a
14a31c21c11c52
154bbe646bcab0
hex25a7a8291600

41402011031040 has 320 divisors, whose sum is σ = 151988967440640. Its totient is φ = 9508595466240.

The previous prime is 41402011030999. The next prime is 41402011031053. The reversal of 41402011031040 is 4013011020414.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 41402011030998 and 41402011031016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11291739 + ... + 14501978.

It is an arithmetic number, because the mean of its divisors is an integer number (474965523252).

Almost surely, 241402011031040 is an apocalyptic number.

41402011031040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41402011031040 is an abundant number, since it is smaller than the sum of its proper divisors (110586956409600).

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

41402011031040 is a wasteful number, since it uses less digits than its factorization.

41402011031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25793773 (or 25793757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41402011031040 its reverse (4013011020414), we get a palindrome (45415022051454).

The spelling of 41402011031040 in words is "forty-one trillion, four hundred two billion, eleven million, thirty-one thousand, forty".