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1020440024019 = 321324495232857
BaseRepresentation
bin11101101100101101111…
…01110001001111010011
310121112221012221020012200
432312112331301033103
5113204330121232034
62100441135054243
7133503312042543
oct16662675611723
93545835836180
101020440024019
11363847877529
12145927371383
13752c4b89500
1437564d51323
151b825e4ea99
hexed96f713d3

1020440024019 has 72 divisors (see below), whose sum is σ = 1603247115600. Its totient is φ = 625147600896.

The previous prime is 1020440023987. The next prime is 1020440024029. The reversal of 1020440024019 is 9104200440201.

It is a happy number.

1020440024019 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 400 + 240 + 19 = 666.

It is not a de Polignac number, because 1020440024019 - 25 = 1020440023987 is a prime.

It is a super-2 number, since 2×10204400240192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020440023983 and 1020440024001.

It is not an unprimeable number, because it can be changed into a prime (1020440024029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357170439 + ... + 357173295.

It is an arithmetic number, because the mean of its divisors is an integer number (22267321050).

Almost surely, 21020440024019 is an apocalyptic number.

1020440024019 is a deficient number, since it is larger than the sum of its proper divisors (582807091581).

1020440024019 is a wasteful number, since it uses less digits than its factorization.

1020440024019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1020440024019 in words is "one trillion, twenty billion, four hundred forty million, twenty-four thousand, nineteen".

Divisors: 1 3 9 13 39 117 169 449 507 523 1347 1521 1569 2857 4041 4707 5837 6799 8571 17511 20397 25713 37141 52533 61191 75881 88387 111423 227643 234827 265161 334269 482833 682929 704481 795483 1282793 1448499 1494211 2113443 3052751 3848379 4345497 4482633 9158253 11545137 13447899 16676309 19424743 27474759 39685763 50028927 58274229 119057289 150086781 174822687 216792017 252521659 357171867 650376051 670900739 757564977 1951128153 2012702217 2272694931 6038106651 8721709607 26165128821 78495386463 113382224891 340146674673 1020440024019