Search a number
-
+
42300400302 = 232193113729123
BaseRepresentation
bin100111011001010011…
…001110001010101110
311001011222122222110200
4213121103032022232
51143112400302202
631233232214330
73025146320136
oct473123161256
9131158588420
1042300400302
1116a37522916
12824639a3a6
133cb1837984
142093d01ac6
151178936e1c
hex9d94ce2ae

42300400302 has 96 divisors (see below), whose sum is σ = 100317035520. Its totient is φ = 12832318080.

The previous prime is 42300400243. The next prime is 42300400309. The reversal of 42300400302 is 20300400324.

42300400302 is a `hidden beast` number, since 4 + 230 + 0 + 400 + 30 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42300400309) 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 47 ways as a sum of consecutive naturals, for example, 1437913 + ... + 1467035.

It is an arithmetic number, because the mean of its divisors is an integer number (1044969120).

Almost surely, 242300400302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42300400302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50158517760).

42300400302 is an abundant number, since it is smaller than the sum of its proper divisors (58016635218).

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

42300400302 is a wasteful number, since it uses less digits than its factorization.

42300400302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29318 (or 29315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 42300400302 its reverse (20300400324), we get a palindrome (62600800626).

The spelling of 42300400302 in words is "forty-two billion, three hundred million, four hundred thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 137 171 186 274 279 342 411 558 589 822 1178 1233 1767 2466 2603 3534 4247 5206 5301 7809 8494 10602 12741 15618 23427 25482 29123 38223 46854 58246 76446 80693 87369 161386 174738 242079 262107 484158 524214 553337 726237 902813 1106674 1452474 1660011 1805626 2708439 3320022 3989851 4980033 5416878 7979702 8125317 9960066 11969553 16250634 17153447 23939106 34306894 35908659 51460341 71817318 75807169 102920682 123685381 151614338 154381023 227421507 247370762 308762046 371056143 454843014 682264521 742112286 1113168429 1364529042 2226336858 2350022239 4700044478 7050066717 14100133434 21150200151 42300400302