Search a number
-
+
432121000121234 = 21759795153129037
BaseRepresentation
bin110001001000000110000001…
…0101101100101001110010010
32002200000100211110212202111122
41202100030002231211032102
5423114332302012334414
64131013351423442242
7160006466134026434
oct14220140255451622
92080010743782448
10432121000121234
1111576153a219526
124056bb40756382
1315716ab2688b28
14789caa756a654
1534e56d3a92b8e
hex1890302b65392

432121000121234 has 16 divisors (see below), whose sum is σ = 648230170894488. Its totient is φ = 216044276973312.

The previous prime is 432121000121221. The next prime is 432121000121273.

It is a happy number.

432121000121234 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 423007864794025 + 9113135327209 = 20567155^2 + 3018797^2 .

It is a super-3 number, since 3×4321210001212343 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3348750164 + ... + 3348879200.

Almost surely, 2432121000121234 is an apocalyptic number.

432121000121234 is a deficient number, since it is larger than the sum of its proper divisors (216109170773254).

432121000121234 is a wasteful number, since it uses less digits than its factorization.

432121000121234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241789.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 432121000 and 121234, that added together give a palindrome (432242234).

The spelling of 432121000121234 in words is "four hundred thirty-two trillion, one hundred twenty-one billion, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 17597 35194 95153 129037 190306 258074 1674407341 2270664089 3348814682 4541328178 12278257661 24556515322 216060500060617 432121000121234