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142420410024 = 2336577902263
BaseRepresentation
bin1000010010100011101…
…0101111111010101000
3111121121112010110002220
42010220322233322220
54313134111110044
6145232123354040
713201211340204
oct2045072577250
9447545113086
10142420410024
1155444677002
1223728382920
1310579175889
146c70c81b04
153a8847a019
hex2128eafea8

142420410024 has 32 divisors (see below), whose sum is σ = 356105555520. Its totient is φ = 47466199296.

The previous prime is 142420409903. The next prime is 142420410029. The reversal of 142420410024 is 420014024241.

142420410024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1424204100243 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 142420409976 and 142420410003.

It is not an unprimeable number, because it can be changed into a prime (142420410029) 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, 293284 + ... + 608979.

It is an arithmetic number, because the mean of its divisors is an integer number (11128298610).

Almost surely, 2142420410024 is an apocalyptic number.

It is an amenable number.

142420410024 is an abundant number, since it is smaller than the sum of its proper divisors (213685145496).

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

142420410024 is a wasteful number, since it uses less digits than its factorization.

142420410024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908849 (or 908845 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 142420410024 its reverse (420014024241), we get a palindrome (562434434265).

The spelling of 142420410024 in words is "one hundred forty-two billion, four hundred twenty million, four hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 6577 13154 19731 26308 39462 52616 78924 157848 902263 1804526 2706789 3609052 5413578 7218104 10827156 21654312 5934183751 11868367502 17802551253 23736735004 35605102506 47473470008 71210205012 142420410024