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400044004041 = 311232941114421
BaseRepresentation
bin1011101001001000111…
…10110001001011001001
31102020120202101000012010
411310210132301023021
523023242231112131
6503435551210133
740621314633453
oct5644436611311
91366522330163
10400044004041
11144726458280
1265645b16949
132b9547a7536
141550dd792d3
15a6156dbb46
hex5d247b12c9

400044004041 has 64 divisors (see below), whose sum is σ = 628413603840. Its totient is φ = 223807584000.

The previous prime is 400044004037. The next prime is 400044004057. The reversal of 400044004041 is 140400440004.

It is not a de Polignac number, because 400044004041 - 22 = 400044004037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400044003999 and 400044004017.

It is not an unprimeable number, because it can be changed into a prime (400044002041) 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 63 ways as a sum of consecutive naturals, for example, 90485011 + ... + 90489431.

It is an arithmetic number, because the mean of its divisors is an integer number (9818962560).

Almost surely, 2400044004041 is an apocalyptic number.

It is an amenable number.

400044004041 is a deficient number, since it is larger than the sum of its proper divisors (228369599799).

400044004041 is a wasteful number, since it uses less digits than its factorization.

400044004041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8598.

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 400044004041 its reverse (140400440004), we get a palindrome (540444444045).

The spelling of 400044004041 in words is "four hundred billion, forty-four million, four thousand, forty-one".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 4111 4421 7337 12333 13263 22011 45221 48631 94553 101683 119219 128209 135663 145893 283659 305049 357657 384627 1040083 1118513 1311409 1410299 2742037 2948807 3120249 3355539 3934227 4230897 8226111 8846421 18174731 30162407 32436877 54524193 90487221 97310631 199922041 418018813 527067199 599766123 1254056439 1581201597 4598206943 5797739189 12122545577 13794620829 17393217567 36367636731 133348001347 400044004041