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41021342817 = 371319372111013
BaseRepresentation
bin100110001101000100…
…000000010001100001
310220212211220010110020
4212031010000101201
51133002430432232
630502301424053
72651355442440
oct461504002141
9126784803406
1041021342817
111644052a014
127b49b6b029
133b39853120
141db20b2d57
1511014d1e2c
hex98d100461

41021342817 has 128 divisors (see below), whose sum is σ = 73192304640. Its totient is φ = 19830666240.

The previous prime is 41021342797. The next prime is 41021342833. The reversal of 41021342817 is 71824312014.

It is not a de Polignac number, because 41021342817 - 211 = 41021340769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41021342867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40494403 + ... + 40495415.

It is an arithmetic number, because the mean of its divisors is an integer number (571814880).

Almost surely, 241021342817 is an apocalyptic number.

It is an amenable number.

41021342817 is a deficient number, since it is larger than the sum of its proper divisors (32170961823).

41021342817 is a wasteful number, since it uses less digits than its factorization.

41021342817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303.

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 41021342817 in words is "forty-one billion, twenty-one million, three hundred forty-two thousand, eight hundred seventeen".

Divisors: 1 3 7 13 19 21 37 39 57 91 111 133 211 247 259 273 399 481 633 703 741 777 1013 1443 1477 1729 2109 2743 3039 3367 4009 4431 4921 5187 7091 7807 8229 9139 10101 12027 13169 14763 19201 19247 21273 23421 27417 28063 37481 39507 52117 54649 57603 57741 63973 84189 92183 101491 112443 134729 148333 156351 163947 191919 213743 250211 262367 276549 304473 364819 404187 444999 487253 641229 710437 712139 750633 787101 1038331 1094457 1461759 1496201 1751477 1928329 2131311 2136417 2778659 3114993 3410771 4061117 4488603 4984973 5254431 5784987 7908491 8335977 9257807 10232313 12183351 13498303 14954919 19450613 23725473 27773421 28427819 40494909 52794521 55359437 58351839 64804649 85283457 102810383 150261329 158383563 166078311 194413947 308431149 369561647 450783987 719672681 1051829303 1108684941 1953397277 2159018043 3155487909 5860191831 13673780939 41021342817