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20041004440143 = 3743832567581
BaseRepresentation
bin1001000111010001010001…
…11100110101101001001111
32121221220100001112220000000
410203220220330311221033
510111322434114041033
6110342413233335343
74135625526015411
oct443505074655117
977856301486000
1020041004440143
1164273845a18a5
1222b80b7a07553
13b24b2149947b
144d3dbddb09b1
1524b4a4b29a13
hex123a28f35a4f

20041004440143 has 64 divisors (see below), whose sum is σ = 31126488476160. Its totient is φ = 12892722968160.

The previous prime is 20041004440123. The next prime is 20041004440147. The reversal of 20041004440143 is 34104440014002.

20041004440143 is a `hidden beast` number, since 200 + 4 + 1 + 0 + 0 + 4 + 440 + 14 + 3 = 666.

It is not a de Polignac number, because 20041004440143 - 228 = 20040736004687 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20041004440147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6521613 + ... + 9089193.

It is an arithmetic number, because the mean of its divisors is an integer number (486351382440).

Almost surely, 220041004440143 is an apocalyptic number.

20041004440143 is a deficient number, since it is larger than the sum of its proper divisors (11085484036017).

20041004440143 is an frugal number, since it uses more digits than its factorization.

20041004440143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567728 (or 2567710 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20041004440143 its reverse (34104440014002), we get a palindrome (54145444454145).

The spelling of 20041004440143 in words is "twenty trillion, forty-one billion, four million, four hundred forty thousand, one hundred forty-three".

Divisors: 1 3 9 27 43 81 83 129 243 249 387 729 747 1161 2187 2241 3483 3569 6723 10449 10707 20169 31347 32121 60507 94041 96363 181521 289089 867267 2567581 2601801 7702743 7805403 23108229 69324687 110405983 207974061 213109223 331217949 623922183 639327669 993653847 1871766549 1917983007 2980961541 5615299647 5753949021 8942884623 9163696589 17261847063 26828653869 27491089767 51785541189 80485961607 82473269301 155356623567 241457884821 247419807903 466069870701 742259423709 2226778271127 6680334813381 20041004440143