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41444340808 = 23137310154049
BaseRepresentation
bin100110100110010001…
…100111010001001000
310221222022211122121111
4212212101213101020
51134334222401213
631012252020104
72665013040643
oct464621472110
9127868748544
1041444340808
1116638282732
128047761634
133ba63875b0
142012342a5a
1511286d9a3d
hex9a6467448

41444340808 has 64 divisors (see below), whose sum is σ = 85673574000. Its totient is φ = 18678988800.

The previous prime is 41444340787. The next prime is 41444340853. The reversal of 41444340808 is 80804344414.

It can be written as a sum of positive squares in 8 ways, for example, as 37203465924 + 4240874884 = 192882^2 + 65122^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 739768 + ... + 793816.

Almost surely, 241444340808 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 41444340808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42836787000).

41444340808 is an abundant number, since it is smaller than the sum of its proper divisors (44229233192).

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

41444340808 is a wasteful number, since it uses less digits than its factorization.

41444340808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54242 (or 54238 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 41444340808 in words is "forty-one billion, four hundred forty-four million, three hundred forty thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 52 73 101 104 146 202 292 404 584 808 949 1313 1898 2626 3796 5252 7373 7592 10504 14746 29492 54049 58984 95849 108098 191698 216196 383396 432392 702637 766792 1405274 2810548 3945577 5458949 5621096 7891154 10917898 15782308 21835796 31564616 43671592 51292501 70966337 102585002 141932674 205170004 283865348 398503277 410340008 567730696 797006554 1594013108 3188026216 5180542601 10361085202 20722170404 41444340808