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4021402422042 = 234107743312241
BaseRepresentation
bin111010100001001110010…
…000110100101100011010
3112020102221110010101120000
4322201032100310230122
51011341313010001132
612315223510113430
7563352046411035
oct72411620645432
915212843111500
104021402422042
111310515914075
1254b45b64b876
132322a7bbc3a5
14dc8cb9a801c
156e914de887c
hex3a84e434b1a

4021402422042 has 80 divisors (see below), whose sum is σ = 9107404713792. Its totient is φ = 1326148225920.

The previous prime is 4021402422029. The next prime is 4021402422047. The reversal of 4021402422042 is 2402242041204.

4021402422042 is a `hidden beast` number, since 4 + 0 + 214 + 0 + 242 + 204 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4021402421997 and 4021402422015.

It is not an unprimeable number, because it can be changed into a prime (4021402422047) 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 39 ways as a sum of consecutive naturals, for example, 12723042 + ... + 13035282.

Almost surely, 24021402422042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021402422042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553702356896).

4021402422042 is an abundant number, since it is smaller than the sum of its proper divisors (5086002291750).

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

4021402422042 is a wasteful number, since it uses less digits than its factorization.

4021402422042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313105 (or 313096 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4021402422042 its reverse (2402242041204), we get a palindrome (6423644463246).

It can be divided in two parts, 4021402 and 422042, that added together give a palindrome (4443444).

The spelling of 4021402422042 in words is "four trillion, twenty-one billion, four hundred two million, four hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 743 963 1486 1926 2229 2889 4458 5778 6687 8667 13374 17334 20061 40122 60183 79501 120366 159002 238503 312241 477006 624482 715509 936723 1431018 1873446 2146527 2810169 4293054 5620338 6439581 8430507 12879162 16861014 25291521 33409787 50583042 66819574 100229361 200458722 231995063 300688083 463990126 601376166 695985189 902064249 1391970378 1804128498 2087955567 2706192747 4175911134 5412385494 6263866701 12527733402 18791600103 24823471741 37583200206 49646943482 74470415223 148940830446 223411245669 446822491338 670233737007 1340467474014 2010701211021 4021402422042