Search a number
-
+
42024321430 = 25713232007851
BaseRepresentation
bin100111001000110110…
…000100000110010110
311000110202011201110021
4213020312010012112
51142031211241210
631150011015354
73015254560360
oct471066040626
9130422151407
1042024321430
11169056a7763
128189a3a55a
133c69593cb0
142069397d30
15115e5a0bda
hex9c8d84196

42024321430 has 64 divisors (see below), whose sum is σ = 97147911168. Its totient is φ = 12721737600.

The previous prime is 42024321379. The next prime is 42024321431. The reversal of 42024321430 is 3412342024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42024321395 and 42024321404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024321431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982996 + ... + 1024855.

It is an arithmetic number, because the mean of its divisors is an integer number (1517936112).

Almost surely, 242024321430 is an apocalyptic number.

42024321430 is an abundant number, since it is smaller than the sum of its proper divisors (55123589738).

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

42024321430 is a wasteful number, since it uses less digits than its factorization.

42024321430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007901.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42024321430 its reverse (3412342024), we get a palindrome (45436663454).

The spelling of 42024321430 in words is "forty-two billion, twenty-four million, three hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 182 230 299 322 455 598 805 910 1495 1610 2093 2990 4186 10465 20930 2007851 4015702 10039255 14054957 20078510 26102063 28109914 46180573 52204126 70274785 92361146 130510315 140549570 182714441 230902865 261020630 323264011 365428882 461805730 600347449 646528022 913572205 1200694898 1616320055 1827144410 3001737245 3232640110 4202432143 6003474490 8404864286 21012160715 42024321430