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40444441011 = 32132235412137
BaseRepresentation
bin100101101010101011…
…010011000110110011
310212101122100110221200
4211222223103012303
51130312234103021
630325132422243
72631152035122
oct455253230663
9125348313850
1040444441011
1116174918167
127a08917983
133a77183c00
141d5961dab9
1510baa28126
hex96aad31b3

40444441011 has 72 divisors (see below), whose sum is σ = 66162616416. Its totient is φ = 23751636480.

The previous prime is 40444441001. The next prime is 40444441027. The reversal of 40444441011 is 11014444404.

It is not a de Polignac number, because 40444441011 - 25 = 40444440979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40444441001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18924735 + ... + 18926871.

It is an arithmetic number, because the mean of its divisors is an integer number (918925228).

Almost surely, 240444441011 is an apocalyptic number.

40444441011 is a deficient number, since it is larger than the sum of its proper divisors (25718175405).

40444441011 is a wasteful number, since it uses less digits than its factorization.

40444441011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 40444441011 its reverse (11014444404), we get a palindrome (51458885415).

The spelling of 40444441011 in words is "forty billion, four hundred forty-four million, four hundred forty-one thousand, eleven".

Divisors: 1 3 9 13 23 39 69 117 169 207 299 507 541 897 1521 1623 2137 2691 3887 4869 6411 7033 11661 12443 19233 21099 27781 34983 37329 49151 63297 83343 91429 111987 147453 161759 250029 274287 361153 442359 485277 638963 822861 1083459 1156117 1455831 1916889 2102867 3250377 3468351 5750667 6308601 8306519 10405053 15029521 18925803 24919557 26590691 45088563 74758671 79772073 135265689 195383773 239316219 345678983 586151319 1037036949 1758453957 3111110847 4493826779 13481480337 40444441011