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41317229911104 = 263272382612
BaseRepresentation
bin10010110010011111010101…
…10011111101110001000000
312102021212222210101122012100
421121033222303331301000
520403420141324123404
6223512512352430400
711463033321412200
oct1131175263756100
9172255883348170
1041317229911104
111218a5a2168514
124773680848400
131a092761b2c74
14a2ba9c0b0400
154b9b515d0d39
hex2593eacfdc40

41317229911104 has 189 divisors, whose sum is σ = 137767225836981. Its totient is φ = 11804614295040.

The previous prime is 41317229911099. The next prime is 41317229911151. The reversal of 41317229911104 is 40111992271314.

The square root of 41317229911104 is 6427848.

It is a perfect power (a square), and thus also a powerful number.

41317229911104 is a `hidden beast` number, since 4 + 1 + 317 + 229 + 9 + 1 + 1 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38661633751104 + 2655596160000 = 6217848^2 + 1629600^2 .

It is a super-2 number, since 2×413172299111042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41317229911104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1079859334 + ... + 1079897594.

Almost surely, 241317229911104 is an apocalyptic number.

41317229911104 is the 6427848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41317229911104

41317229911104 is an abundant number, since it is smaller than the sum of its proper divisors (96449995925877).

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

41317229911104 is an frugal number, since it uses more digits than its factorization.

41317229911104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76554 (or 38273 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 41317229911104 in words is "forty-one trillion, three hundred seventeen billion, two hundred twenty-nine million, nine hundred eleven thousand, one hundred four".