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41124140436036 = 223723137229266269
BaseRepresentation
bin10010101100110111101011…
…10010000100101001000100
312101121102121001110222202210
421112123311302010221010
520342234214422423121
6223244100323103420
711443056352066200
oct1126336562045104
9171542531428683
1041124140436036
1112115717198a49
124742173511b70
1319c3cb379c9c8
14a225c1ad7b00
154b4aeeb9e876
hex2566f5c84a44

41124140436036 has 288 divisors, whose sum is σ = 118854748185600. Its totient is φ = 11015059829760.

The previous prime is 41124140435947. The next prime is 41124140436083. The reversal of 41124140436036 is 63063404142114.

It is a super-2 number, since 2×411241404360362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41124140435985 and 41124140436003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154312710 + ... + 154578978.

Almost surely, 241124140436036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41124140436036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59427374092800).

41124140436036 is an abundant number, since it is smaller than the sum of its proper divisors (77730607749564).

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

41124140436036 is a wasteful number, since it uses less digits than its factorization.

41124140436036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266587 (or 266578 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 41124140436036 in words is "forty-one trillion, one hundred twenty-four billion, one hundred forty million, four hundred thirty-six thousand, thirty-six".