Search a number
-
+
4021423122431 = 1113194136099923
BaseRepresentation
bin111010100001001111011…
…111110010011111111111
3112020102222220002002011002
4322201033133302133333
51011341333304404211
612315225525520515
7563352420355031
oct72411737623777
915212886062132
104021423122431
111310526572630
1254b46657313b
132322ac289540
14dc8d0635c51
156e916b3703b
hex3a84f7f27ff

4021423122431 has 32 divisors (see below), whose sum is σ = 5094421274880. Its totient is φ = 3119033260800.

The previous prime is 4021423122397. The next prime is 4021423122499. The reversal of 4021423122431 is 1342213241204.

It is a cyclic number.

It is not a de Polignac number, because 4021423122431 - 222 = 4021418928127 is a prime.

It is a super-2 number, since 2×40214231224312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021423122394 and 4021423122403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021423122631) 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 31 ways as a sum of consecutive naturals, for example, 17938565 + ... + 18161358.

It is an arithmetic number, because the mean of its divisors is an integer number (159200664840).

Almost surely, 24021423122431 is an apocalyptic number.

4021423122431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4021423122431 is a deficient number, since it is larger than the sum of its proper divisors (1072998152449).

4021423122431 is a wasteful number, since it uses less digits than its factorization.

4021423122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36100007.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4021423122431 its reverse (1342213241204), we get a palindrome (5363636363635).

The spelling of 4021423122431 in words is "four trillion, twenty-one billion, four hundred twenty-three million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 11 13 19 41 143 209 247 451 533 779 2717 5863 8569 10127 111397 36099923 397099153 469298999 685898537 1480096843 5162288989 7544883907 8916680981 16281065273 19241258959 28121840017 98083490791 211653848549 309340240187 365583920221 4021423122431