Search a number
-
+
432144303441234 = 2317371072115071783
BaseRepresentation
bin110001001000010000110111…
…1101100101100010101010010
32002200002120222112012001220120
41202100201233230230111102
5423120223013140104414
64131032204034451110
7160011252460004046
oct14220415754542522
92080076875161816
10432144303441234
1111577040834a77a
1240574564a33a96
1315719057538c87
14789dc78454026
1534e60e981a2a9
hex189086fb2c552

432144303441234 has 128 divisors (see below), whose sum is σ = 953142233536512. Its totient is φ = 130058343152640.

The previous prime is 432144303440917. The next prime is 432144303441299.

432144303441234 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82669707 + ... + 87741489.

It is an arithmetic number, because the mean of its divisors is an integer number (7446423699504).

Almost surely, 2432144303441234 is an apocalyptic number.

432144303441234 is an abundant number, since it is smaller than the sum of its proper divisors (520997930095278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432144303441234 is a wasteful number, since it uses less digits than its factorization.

432144303441234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072160.

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 43214430 and 3441234, that added together give a palindrome (46655664).

The spelling of 432144303441234 in words is "four hundred thirty-two trillion, one hundred forty-four billion, three hundred three million, four hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 17 34 37 51 74 102 107 111 211 214 222 321 422 629 633 642 1258 1266 1819 1887 3587 3638 3774 3959 5457 7174 7807 7918 10761 10914 11877 15614 21522 22577 23421 23754 45154 46842 67303 67731 132719 134606 135462 201909 265438 383809 398157 403818 767618 796314 835349 1151427 1670698 2302854 2506047 5012094 5071783 10143566 14200933 15215349 28401866 30430698 42602799 85205598 86220311 172440622 187655971 258660933 375311942 517321866 542680781 562967913 1070146213 1085361562 1125935826 1628042343 2140292426 3190151507 3210438639 3256084686 6380303014 6420877278 9225573277 9570454521 18192485621 18451146554 19140909042 20079188897 27676719831 36384971242 39595409881 40158377794 54577456863 55353439662 60237566691 79190819762 109154913726 114505644791 118786229643 120475133382 229011289582 237572459286 341346211249 343516934373 673121967977 682692422498 687033868746 1024038633747 1346243935954 1946595961447 2019365903931 2048077267494 3893191922894 4038731807862 4236708857267 5839787884341 8473417714534 11679575768682 12710126571801 25420253143602 72024050573539 144048101147078 216072151720617 432144303441234