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41330001044224 = 28972573364679
BaseRepresentation
bin10010110010110111001000…
…00001111110001100000000
312102100002221211112102022201
421121123210001332030000
520404122320231403344
6223522423530242544
711463664645303354
oct1131334401761400
9172302854472281
1041330001044224
1112194a56133892
124776045886454
131a0a530031379
14a2c5502a1464
154ba14c8c54d4
hex2596e407e300

41330001044224 has 72 divisors (see below), whose sum is σ = 83353585059360. Its totient is φ = 20450848309248.

The previous prime is 41330001044219. The next prime is 41330001044239. The reversal of 41330001044224 is 42244010003314.

It is a junction number, because it is equal to n+sod(n) for n = 41330001044192 and 41330001044201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638969517 + ... + 639034195.

It is an arithmetic number, because the mean of its divisors is an integer number (1157688681380).

Almost surely, 241330001044224 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 41330001044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41676792529680).

41330001044224 is an abundant number, since it is smaller than the sum of its proper divisors (42023584015136).

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

41330001044224 is an equidigital number, since it uses as much as digits as its factorization.

41330001044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90525 (or 90511 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41330001044224 its reverse (42244010003314), we get a palindrome (83574011047538).

The spelling of 41330001044224 in words is "forty-one trillion, three hundred thirty billion, one million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 6208 12416 24832 25733 51466 64679 102932 129358 205864 258716 411728 517432 823456 1034864 1646912 2069728 2496101 3293824 4139456 4992202 6273863 6587648 8278912 9984404 12547726 16557824 19968808 25095452 39937616 50190904 79875232 100381808 159750464 200763616 319500928 401527232 639001856 803054464 1606108928 1664384707 3328769414 6657538828 13315077656 26630155312 53260310624 106520621248 161445316579 213041242496 322890633158 426082484992 645781266316 1291562532632 2583125065264 5166250130528 10332500261056 20665000522112 41330001044224