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4402468642044 = 2231128336530159
BaseRepresentation
bin100000000010000011110…
…0101000101110011111100
3120120212112121110002011210
41000010013211011303330
51034112223433021134
613210244405444420
7633032164010214
oct100040745056374
916525477402153
104402468642044
11144809285a300
125b1289a10710
1325c1c6a070c5
1411311b30d244
15797b94882e9
hex40107945cfc

4402468642044 has 72 divisors (see below), whose sum is σ = 11427218530560. Its totient is φ = 1318008100640.

The previous prime is 4402468641983. The next prime is 4402468642069.

4402468642044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4402468641984 and 4402468642002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18144564 + ... + 18385595.

It is an arithmetic number, because the mean of its divisors is an integer number (158711368480).

Almost surely, 24402468642044 is an apocalyptic number.

4402468642044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4402468642044 is an abundant number, since it is smaller than the sum of its proper divisors (7024749888516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4402468642044 is a wasteful number, since it uses less digits than its factorization.

4402468642044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36530271 (or 36530258 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 48.

The spelling of 4402468642044 in words is "four trillion, four hundred two billion, four hundred sixty-eight million, six hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 121 132 166 242 249 332 363 484 498 726 913 996 1452 1826 2739 3652 5478 10043 10956 20086 30129 40172 60258 120516 36530159 73060318 109590477 146120636 219180954 401831749 438361908 803663498 1205495247 1607326996 2410990494 3032003197 4420149239 4821980988 6064006394 8840298478 9096009591 12128012788 13260447717 17680596956 18192019182 26520895434 33352035167 36384038364 53041790868 66704070334 100056105501 133408140668 200112211002 366872386837 400224422004 733744773674 1100617160511 1467489547348 2201234321022 4402468642044