Search a number
-
+
42344003121 = 37217160910531
BaseRepresentation
bin100111011011111001…
…100011011000110001
311001022000201020021220
4213123321203120301
51143210031044441
631241430535253
73026216042100
oct473371433061
9131260636256
1042344003121
1116a5a0a4302
128258b07529
133cba893364
142099a12037
15117c69b466
hex9dbe63631

42344003121 has 48 divisors (see below), whose sum is σ = 69589558080. Its totient is φ = 22756930560.

The previous prime is 42344003089. The next prime is 42344003147. The reversal of 42344003121 is 12130044324.

It is not a de Polignac number, because 42344003121 - 25 = 42344003089 is a prime.

It is a super-2 number, since 2×423440031212 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42344003091 and 42344003100.

It is not an unprimeable number, because it can be changed into a prime (42344003021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4015626 + ... + 4026156.

It is an arithmetic number, because the mean of its divisors is an integer number (1449782460).

Almost surely, 242344003121 is an apocalyptic number.

It is an amenable number.

42344003121 is a deficient number, since it is larger than the sum of its proper divisors (27245554959).

42344003121 is a wasteful number, since it uses less digits than its factorization.

42344003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42344003121 its reverse (12130044324), we get a palindrome (54474047445).

The spelling of 42344003121 in words is "forty-two billion, three hundred forty-four million, three thousand, one hundred twenty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 1609 2499 4827 10531 11263 27353 31593 33789 73717 78841 82059 179027 191471 221151 236523 516019 537081 574413 1253189 1340297 1548057 3759567 4020891 8772323 16944379 26316969 50833137 118610653 288054443 355831959 830274571 864163329 2016381101 2490823713 6049143303 14114667707 42344003121