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41430413344 = 256133762981
BaseRepresentation
bin100110100101011100…
…011111000000100000
310221221100122001201111
4212211130133000200
51134322141211334
631011033313104
72664453463045
oct464534370040
9127840561644
1041430413344
111663042a831
128042b65794
133ba351c1a8
1420105591cc
151127388064
hex9a571f020

41430413344 has 48 divisors (see below), whose sum is σ = 83150599896. Its totient is φ = 20314828800.

The previous prime is 41430413287. The next prime is 41430413377. The reversal of 41430413344 is 44331403414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24056010000 + 17374403344 = 155100^2 + 131812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626334 + ... + 689314.

Almost surely, 241430413344 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 41430413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41575299948).

41430413344 is an abundant number, since it is smaller than the sum of its proper divisors (41720186552).

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

41430413344 is a wasteful number, since it uses less digits than its factorization.

41430413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63389 (or 63381 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 41430413344 its reverse (44331403414), we get a palindrome (85761816758).

The spelling of 41430413344 in words is "forty-one billion, four hundred thirty million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 244 337 488 674 976 1348 1952 2696 5392 10784 20557 41114 62981 82228 125962 164456 251924 328912 503848 657824 1007696 2015392 3841841 7683682 15367364 21224597 30734728 42449194 61469456 84898388 122938912 169796776 339593552 679187104 1294700417 2589400834 5178801668 10357603336 20715206672 41430413344