Search a number
-
+
442432142000030 = 25713486189167033
BaseRepresentation
bin110010010011000111100001…
…0101010010011111110011110
32011000112002200200110010102202
41210212033002222103332132
5430442302011323000110
64204550304203051502
7162122444631626150
oct14446170252237636
92130462620403382
10442432142000030
11118a77465a82236
1241756391210b92
1315cb4230a84b30
147b37b89480ad0
153623a1e40c0a5
hex19263c2a93f9e

442432142000030 has 32 divisors (see below), whose sum is σ = 980157360740544. Its totient is φ = 140022480105216.

The previous prime is 442432141999973. The next prime is 442432142000077. The reversal of 442432142000030 is 30000241234244.

It is a junction number, because it is equal to n+sod(n) for n = 442432141999957 and 442432142000002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243094582607 + ... + 243094584426.

It is an arithmetic number, because the mean of its divisors is an integer number (30629917523142).

Almost surely, 2442432142000030 is an apocalyptic number.

442432142000030 is an abundant number, since it is smaller than the sum of its proper divisors (537725218740514).

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

442432142000030 is a wasteful number, since it uses less digits than its factorization.

442432142000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486189167060.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 442432142000030 its reverse (30000241234244), we get a palindrome (472432383234274).

The spelling of 442432142000030 in words is "four hundred forty-two trillion, four hundred thirty-two billion, one hundred forty-two million, thirty", and thus it is an aban number.

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 486189167033 972378334066 2430945835165 3403324169231 4861891670330 6320459171429 6806648338462 12640918342858 17016620846155 31602295857145 34033241692310 44243214200003 63204591714290 88486428400006 221216071000015 442432142000030