Search a number
-
+
442001210300142 = 231713175932888419
BaseRepresentation
bin110010001111111110110110…
…1001000010101011011101110
32010221222220101022102121002120
41210133331231020111123232
5430413221434314101032
64204020315225133410
7162046351014622113
oct14437755510253356
92127886338377076
10442001210300142
1111892072a2a29a9
12416a696702a266
1315c826c60393bc
147b20d8922490a
1536176ec1ea62c
hex191ff6d2156ee

442001210300142 has 32 divisors (see below), whose sum is σ = 936009695347200. Its totient is φ = 138665989723008.

The previous prime is 442001210300137. The next prime is 442001210300149. The reversal of 442001210300142 is 241003012100244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442001210300149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004792 + ... + 29883627.

It is an arithmetic number, because the mean of its divisors is an integer number (29250302979600).

Almost surely, 2442001210300142 is an apocalyptic number.

442001210300142 is an abundant number, since it is smaller than the sum of its proper divisors (494008485047058).

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

442001210300142 is a wasteful number, since it uses less digits than its factorization.

442001210300142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33020200.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 442001210300142 its reverse (241003012100244), we get a palindrome (683004222400386).

The spelling of 442001210300142 in words is "four hundred forty-two trillion, one billion, two hundred ten million, three hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 131759 263518 395277 790554 2239903 4479806 6719709 13439418 32888419 65776838 98665257 197330514 559103123 1118206246 1677309369 3354618738 4333345199021 8666690398042 13000035597063 26000071194126 73666868383357 147333736766714 221000605150071 442001210300142