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42260206224 = 2436531348271
BaseRepresentation
bin100111010110111001…
…111001001010010000
311001002012000220120010
4213112321321022100
51143022103044344
631225234514520
73024150553215
oct472671711220
9131065026503
1042260206224
1116a1686a475
128234a35a40
133ca64039b2
14208c83bb0c
1511751478b9
hex9d6e79290

42260206224 has 40 divisors (see below), whose sum is σ = 109339466112. Its totient is φ = 14065152640.

The previous prime is 42260206223. The next prime is 42260206237.

42260206224 is nontrivially palindromic in base 10.

42260206224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42260206191 and 42260206200.

It is not an unprimeable number, because it can be changed into a prime (42260206223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642792 + ... + 705479.

Almost surely, 242260206224 is an apocalyptic number.

It is an amenable number.

42260206224 is an abundant number, since it is smaller than the sum of its proper divisors (67079259888).

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

42260206224 is a wasteful number, since it uses less digits than its factorization.

42260206224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348935 (or 1348929 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 42260206224 in words is "forty-two billion, two hundred sixty million, two hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 653 1306 1959 2612 3918 5224 7836 10448 15672 31344 1348271 2696542 4044813 5393084 8089626 10786168 16179252 21572336 32358504 64717008 880420963 1760841926 2641262889 3521683852 5282525778 7043367704 10565051556 14086735408 21130103112 42260206224