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432421320344 = 231337613475309
BaseRepresentation
bin1100100101011100101…
…00011011011010011000
31112100011012000002110012
412102232110123122120
524041044324222334
6530352425341052
743145542401566
oct6225624333230
91470135002405
10432421320344
11157430620222
126b981037788
1331a14545470
1416d0201aa36
15b3acdaa9ce
hex64ae51b698

432421320344 has 128 divisors (see below), whose sum is σ = 914257108800. Its totient is φ = 190415370240.

The previous prime is 432421320343. The next prime is 432421320371. The reversal of 432421320344 is 443023124234.

It is a self number, because there is not a number n which added to its sum of digits gives 432421320344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432421320343) 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 31 ways as a sum of consecutive naturals, for example, 81447962 + ... + 81453270.

Almost surely, 2432421320344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432421320344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457128554400).

432421320344 is an abundant number, since it is smaller than the sum of its proper divisors (481835788456).

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

432421320344 is a wasteful number, since it uses less digits than its factorization.

432421320344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 432421320344 its reverse (443023124234), we get a palindrome (875444444578).

The spelling of 432421320344 in words is "four hundred thirty-two billion, four hundred twenty-one million, three hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 61 74 104 122 148 244 296 347 481 488 694 793 962 1388 1586 1924 2257 2776 3172 3848 4511 4514 5309 6344 9022 9028 10618 12839 18044 18056 21167 21236 25678 29341 36088 42334 42472 51356 58682 69017 84668 102712 117364 138034 166907 169336 196433 234728 275171 276068 323849 333814 392866 550342 552136 647698 667628 783179 785732 1100684 1295396 1335256 1566358 1571464 1842223 2201368 2553629 2590792 3132716 3684446 4210037 5107258 6265432 7368892 8420074 10181327 10214516 11982413 14737784 16840148 20362654 20429032 23948899 23964826 33680296 40725308 47897798 47929652 68162251 81450616 95795596 95859304 112375603 136324502 155771369 191591192 224751206 272649004 311542738 449502412 545298008 623085476 886109263 899004824 1246170952 1460882839 1772218526 2921765678 3544437052 4157897311 5843531356 7088874104 8315794622 11687062712 16631589244 33263178488 54052665043 108105330086 216210660172 432421320344