Search a number
-
+
432041020232144 = 24421201767317887
BaseRepresentation
bin110001000111100000110001…
…1100010100001000111010000
32002122201201101112121102111012
41202033001203202201013100
5423112030002134412034
64130512523225110052
7160000635145135301
oct14217014342410720
92078651345542435
10432041020232144
111157306276a9034
124055853b628328
131570c3a7775a7b
147898c7b3487a8
1534e35a2247cce
hex188f0638a11d0

432041020232144 has 40 divisors (see below), whose sum is σ = 839074587122688. Its totient is φ = 215505651231360.

The previous prime is 432041020232141. The next prime is 432041020232197. The reversal of 432041020232144 is 441232020140234.

It is a happy number.

It is a super-2 number, since 2×4320410202321442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 432041020232144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432041020232141) 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 7 ways as a sum of consecutive naturals, for example, 1358943569 + ... + 1359261455.

Almost surely, 2432041020232144 is an apocalyptic number.

It is an amenable number.

432041020232144 is a deficient number, since it is larger than the sum of its proper divisors (407033566890544).

432041020232144 is a wasteful number, since it uses less digits than its factorization.

432041020232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520083 (or 520077 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 432041020232144 its reverse (441232020140234), we get a palindrome (873273040372378).

The spelling of 432041020232144 in words is "four hundred thirty-two trillion, forty-one billion, twenty million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 421 842 1684 3368 6736 201767 317887 403534 635774 807068 1271548 1614136 2543096 3228272 5086192 84943907 133830427 169887814 267660854 339775628 535321708 679551256 1070643416 1359102512 2141286832 64139106329 128278212658 256556425316 513112850632 1026225701264 27002563764509 54005127529018 108010255058036 216020510116072 432041020232144