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4233142010401 = 172119312277913
BaseRepresentation
bin111101100110011010111…
…011010000001000100001
3112222200110221111221210021
4331212122323100020201
51023323433323313101
613000402324233441
7614556130254133
oct75463273201041
915880427457707
104233142010401
1113922a1341807
125844b283b881
13249250426645
14108c56c7b053
15751a8cee5a1
hex3d99aed0221

4233142010401 has 12 divisors (see below), whose sum is σ = 4500567600012. Its totient is φ = 3980793740288.

The previous prime is 4233142010393. The next prime is 4233142010431. The reversal of 4233142010401 is 1040102413324.

It can be written as a sum of positive squares in 6 ways, for example, as 358801 + 4233141651600 = 599^2 + 2057460^2 .

It is not a de Polignac number, because 4233142010401 - 23 = 4233142010393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4233142010431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5794180 + ... + 6483733.

It is an arithmetic number, because the mean of its divisors is an integer number (375047300001).

Almost surely, 24233142010401 is an apocalyptic number.

It is an amenable number.

4233142010401 is a deficient number, since it is larger than the sum of its proper divisors (267425589611).

4233142010401 is a wasteful number, since it uses less digits than its factorization.

4233142010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279140 (or 12279123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4233142010401 its reverse (1040102413324), we get a palindrome (5273244423725).

The spelling of 4233142010401 in words is "four trillion, two hundred thirty-three billion, one hundred forty-two million, ten thousand, four hundred one".

Divisors: 1 17 289 1193 20281 344777 12277913 208724521 3548316857 14647550209 249008353553 4233142010401