Search a number
-
+
42301202313032 = 23131812247195193
BaseRepresentation
bin10011001111001000001000…
…01000110010111101001000
312112202221210112001201102222
421213210010020302331020
521021030330243004112
6225544523140113212
711624106141005105
oct1147440410627510
9175687715051388
1042301202313032
1112529925a08793
1248b230b095808
131a7aca8a81960
14a63563a3daac
154d5540bee372
hex267904232f48

42301202313032 has 32 divisors (see below), whose sum is σ = 85887800314680. Its totient is φ = 19415766458880.

The previous prime is 42301202312989. The next prime is 42301202313037. The reversal of 42301202313032 is 23031320210324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16006192599076 + 26295009713956 = 4000774^2 + 5127866^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 42301202312992 and 42301202313010.

It is not an unprimeable number, because it can be changed into a prime (42301202313037) 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 7 ways as a sum of consecutive naturals, for example, 1123578773 + ... + 1123616420.

Almost surely, 242301202313032 is an apocalyptic number.

It is an amenable number.

42301202313032 is an abundant number, since it is smaller than the sum of its proper divisors (43586598001648).

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

42301202313032 is a wasteful number, since it uses less digits than its factorization.

42301202313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247195393 (or 2247195389 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 42301202313032 its reverse (23031320210324), we get a palindrome (65332522523356).

The spelling of 42301202313032 in words is "forty-two trillion, three hundred one billion, two hundred two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 9412 18824 2247195193 4494390386 8988780772 17977561544 29213537509 58427075018 116854150036 233708300072 406742329933 813484659866 1626969319732 3253938639464 5287650289129 10575300578258 21150601156516 42301202313032