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41010244224 = 273318341507
BaseRepresentation
bin100110001100011001…
…101010101010000000
310220212002000021001020
4212030121222222000
51132442110303344
630501223505440
72651162216145
oct461431525200
9126762007036
1041010244224
1116435239524
127b462b8280
133b37468501
141db08243cc
15110053d719
hex98c66aa80

41010244224 has 128 divisors (see below), whose sum is σ = 113804974080. Its totient is φ = 13069409280.

The previous prime is 41010244181. The next prime is 41010244259. The reversal of 41010244224 is 42244201014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41010244194 and 41010244203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967279 + ... + 1008785.

It is an arithmetic number, because the mean of its divisors is an integer number (889101360).

Almost surely, 241010244224 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 41010244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56902487040).

41010244224 is an abundant number, since it is smaller than the sum of its proper divisors (72794729856).

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

41010244224 is a wasteful number, since it uses less digits than its factorization.

41010244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41638 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41010244224 its reverse (42244201014), we get a palindrome (83254445238).

The spelling of 41010244224 in words is "forty-one billion, ten million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 83 93 96 124 128 166 186 192 248 249 332 372 384 496 498 664 744 992 996 1328 1488 1984 1992 2573 2656 2976 3968 3984 5146 5312 5952 7719 7968 10292 10624 11904 15438 15936 20584 30876 31872 41168 41507 61752 82336 83014 123504 124521 164672 166028 247008 249042 329344 332056 494016 498084 664112 988032 996168 1286717 1328224 1992336 2573434 2656448 3445081 3860151 3984672 5146868 5312896 6890162 7720302 7969344 10293736 10335243 13780324 15440604 15938688 20587472 20670486 27560648 30881208 41174944 41340972 55121296 61762416 82349888 82681944 106797511 110242592 123524832 164699776 165363888 213595022 220485184 247049664 320392533 330727776 427190044 440970368 494099328 640785066 661455552 854380088 1281570132 1322911104 1708760176 2563140264 3417520352 5126280528 6835040704 10252561056 13670081408 20505122112 41010244224