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4413406043144 = 237647880713831
BaseRepresentation
bin100000000111001001101…
…1111111101110000001000
3120121220202212002121212102
41000032103133331300020
51034302123421340034
613215254000132532
7633600213253040
oct100162337756010
916556685077772
104413406043144
11145179572166a
125b3420907148
1326024a984887
14113877b66720
1579c097ae97e
hex403937fdc08

4413406043144 has 64 divisors (see below), whose sum is σ = 9473676226560. Its totient is φ = 1888185337920.

The previous prime is 4413406043131. The next prime is 4413406043159.

4413406043144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4413406043098 and 4413406043107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319088309 + ... + 319102139.

It is an arithmetic number, because the mean of its divisors is an integer number (148026191040).

Almost surely, 24413406043144 is an apocalyptic number.

It is an amenable number.

4413406043144 is an abundant number, since it is smaller than the sum of its proper divisors (5060270183416).

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

4413406043144 is a wasteful number, since it uses less digits than its factorization.

4413406043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23298 (or 23294 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 4413406043144 in words is "four trillion, four hundred thirteen billion, four hundred six million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 647 1294 2588 4529 5176 8807 9058 13831 17614 18116 27662 35228 36232 55324 61649 70456 96817 110648 123298 193634 246596 387268 493192 774536 5698129 8948657 11396258 17897314 22792516 35794628 39886903 45585032 62640599 71589256 79773806 121809617 125281198 159547612 243619234 250562396 319095224 487238468 501124792 852667319 974476936 1705334638 3410669276 6821338552 78810822199 157621644398 315243288796 551675755393 630486577592 1103351510786 2206703021572 4413406043144