Search a number
-
+
4233142401421 = 2323129418849
BaseRepresentation
bin111101100110011010111…
…100101111100110001101
3112222200110222020211011111
4331212122330233212031
51023323433423321141
613000402340452021
7614556133503133
oct75463274574615
915880428224144
104233142401421
1113922a158956a
125844b29aa011
1324925053260b
14108c56d3d753
15751a8d7a381
hex3d99af2f98d

4233142401421 has 36 divisors (see below), whose sum is σ = 4577923734300. Its totient is φ = 3913870329600.

The previous prime is 4233142401379. The next prime is 4233142401569. The reversal of 4233142401421 is 1241042413324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 888468367396 + 3344674034025 = 942586^2 + 1828845^2 .

It is not a de Polignac number, because 4233142401421 - 211 = 4233142399373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233142401721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 478370805 + ... + 478379653.

It is an arithmetic number, because the mean of its divisors is an integer number (127164548175).

Almost surely, 24233142401421 is an apocalyptic number.

It is an amenable number.

4233142401421 is a deficient number, since it is larger than the sum of its proper divisors (344781332879).

4233142401421 is an equidigital number, since it uses as much as digits as its factorization.

4233142401421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 4233142401421 its reverse (1241042413324), we get a palindrome (5474184814745).

The spelling of 4233142401421 in words is "four trillion, two hundred thirty-three billion, one hundred forty-two million, four hundred one thousand, four hundred twenty-one".

Divisors: 1 23 31 529 713 941 961 8849 16399 21643 22103 29171 203527 274319 497789 508369 670933 904301 4681121 6309337 8326909 8503889 15431459 20798923 145114751 191518907 195589447 258134179 478375229 4404934861 4498557281 5937086117 8002159549 136552980691 184049669627 4233142401421