Search a number
-
+
42403230424 = 23174750913033
BaseRepresentation
bin100111011111011011…
…011111001011011000
311001110011011021212201
4213133123133023120
51143320211333144
631251344215544
73030535340332
oct473733371330
9131404137781
1042403230424
1116a8a577695
12827490a5b4
133cc9c2c6b9
1420a382c452
15118299a1d4
hex9df6df2d8

42403230424 has 64 divisors (see below), whose sum is σ = 86149526400. Its totient is φ = 19490033664.

The previous prime is 42403230421. The next prime is 42403230427.

It is a happy number.

42403230424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42403230421) and next prime (42403230427).

It is a junction number, because it is equal to n+sod(n) for n = 42403230392 and 42403230401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403230421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3247012 + ... + 3260044.

It is an arithmetic number, because the mean of its divisors is an integer number (1346086350).

Almost surely, 242403230424 is an apocalyptic number.

It is an amenable number.

42403230424 is an abundant number, since it is smaller than the sum of its proper divisors (43746295976).

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

42403230424 is a wasteful number, since it uses less digits than its factorization.

42403230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612 (or 13608 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The spelling of 42403230424 in words is "forty-two billion, four hundred three million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 376 509 799 1018 1598 2036 3196 4072 6392 8653 13033 17306 23923 26066 34612 47846 52132 69224 95692 104264 191384 221561 406691 443122 612551 813382 886244 1225102 1626764 1772488 2450204 3253528 4900408 6633797 10413367 13267594 20826734 26535188 41653468 53070376 83306936 112774549 225549098 311788459 451098196 623576918 902196392 1247153836 2494307672 5300403803 10600807606 21201615212 42403230424