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41344110024 = 233717101143329
BaseRepresentation
bin100110100000010011…
…010000110111001000
310221201100020101211020
4212200103100313020
51134133043010044
630554311432440
72662355064630
oct464023206710
9127640211736
1041344110024
1116596743878
12801a085720
133b8b692a39
142002cd16c0
15111e9dba19
hex9a04d0dc8

41344110024 has 128 divisors (see below), whose sum is σ = 126313862400. Its totient is φ = 11007590400.

The previous prime is 41344110013. The next prime is 41344110037. The reversal of 41344110024 is 42001144314.

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 = 41344109976 and 41344110003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216792 + ... + 360120.

It is an arithmetic number, because the mean of its divisors is an integer number (986827050).

Almost surely, 241344110024 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 41344110024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63156931200).

41344110024 is an abundant number, since it is smaller than the sum of its proper divisors (84969752376).

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

41344110024 is a wasteful number, since it uses less digits than its factorization.

41344110024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143463 (or 143459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41344110024 its reverse (42001144314), we get a palindrome (83345254338).

The spelling of 41344110024 in words is "forty-one billion, three hundred forty-four million, one hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 101 102 119 136 168 202 204 238 303 357 404 408 476 606 707 714 808 952 1212 1414 1428 1717 2121 2424 2828 2856 3434 4242 5151 5656 6868 8484 10302 12019 13736 16968 20604 24038 36057 41208 48076 72114 96152 143329 144228 286658 288456 429987 573316 859974 1003303 1146632 1719948 2006606 2436593 3009909 3439896 4013212 4873186 6019818 7309779 8026424 9746372 12039636 14476229 14619558 17056151 19492744 24079272 28952458 29239116 34112302 43428687 51168453 57904916 58478232 68224604 86857374 101333603 102336906 115809832 136449208 173714748 202667206 204673812 246095893 304000809 347429496 405334412 409347624 492191786 608001618 738287679 810668824 984383572 1216003236 1476575358 1722671251 1968767144 2432006472 2953150716 3445342502 5168013753 5906301432 6890685004 10336027506 13781370008 20672055012 41344110024