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4202240441 = 721013472447
BaseRepresentation
bin1111101001111001…
…0001100110111001
3101211212020221011212
43322132101212321
532101233143231
61532552332505
7206064311600
oct37236214671
911755227155
104202240441
111867067493
129933a4135
1351c7b1709
142bc15aa37
15198dc342b
hexfa7919b9

4202240441 has 24 divisors (see below), whose sum is σ = 4952969856. Its totient is φ = 3554527200.

The previous prime is 4202240423. The next prime is 4202240459. The reversal of 4202240441 is 1440422024.

It is an interprime number because it is at equal distance from previous prime (4202240423) and next prime (4202240459).

It is not a de Polignac number, because 4202240441 - 26 = 4202240377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4202240941) 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 23 ways as a sum of consecutive naturals, for example, 1716080 + ... + 1718526.

It is an arithmetic number, because the mean of its divisors is an integer number (206373744).

Almost surely, 24202240441 is an apocalyptic number.

It is an amenable number.

4202240441 is a deficient number, since it is larger than the sum of its proper divisors (750729415).

4202240441 is a wasteful number, since it uses less digits than its factorization.

4202240441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4202240441 is about 64824.6900571071. The cubic root of 4202240441 is about 1613.7154832566.

Adding to 4202240441 its reverse (1440422024), we get a palindrome (5642662465).

The spelling of 4202240441 in words is "four billion, two hundred two million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 7 49 101 347 707 2429 2447 4949 17003 17129 35047 119903 245329 247147 849109 1717303 1730029 5943763 12110203 41606341 85760009 600320063 4202240441