Search a number
-
+
321440434422432 = 25313859299842201
BaseRepresentation
bin100100100010110010010111…
…0111010010000001010100000
31120011010101221112220101000220
41021011210232322100022200
5314112440002203004212
63055351410315043040
7124464206422212363
oct11105445672201240
91504111845811026
10321440434422432
119346a139329896
1230075387140480
1310a4891a379460
145953b2b4320da
15272660b54e38c
hex124592ee902a0

321440434422432 has 96 divisors (see below), whose sum is σ = 909745228244160. Its totient is φ = 98789609318400.

The previous prime is 321440434422407. The next prime is 321440434422433. The reversal of 321440434422432 is 234224434044123.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (321440434422433) 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 15 ways as a sum of consecutive naturals, for example, 148849069 + ... + 150993132.

It is an arithmetic number, because the mean of its divisors is an integer number (9476512794210).

Almost surely, 2321440434422432 is an apocalyptic number.

321440434422432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321440434422432 is an abundant number, since it is smaller than the sum of its proper divisors (588304793821728).

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

321440434422432 is a wasteful number, since it uses less digits than its factorization.

321440434422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299843086 (or 299843078 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 321440434422432 its reverse (234224434044123), we get a palindrome (555664868466555).

The spelling of 321440434422432 in words is "three hundred twenty-one trillion, four hundred forty billion, four hundred thirty-four million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 859 1248 1718 2577 3436 5154 6872 10308 11167 13744 20616 22334 27488 33501 41232 44668 67002 82464 89336 134004 178672 268008 357344 536016 1072032 299842201 599684402 899526603 1199368804 1799053206 2398737608 3598106412 3897948613 4797475216 7196212824 7795897226 9594950432 11693845839 14392425648 15591794452 23387691678 28784851296 31183588904 46775383356 62367177808 93550766712 124734355616 187101533424 257564450659 374203066848 515128901318 772693351977 1030257802636 1545386703954 2060515605272 3090773407908 3348337858567 4121031210544 6181546815816 6696675717134 8242062421088 10045013575701 12363093631632 13393351434268 20090027151402 24726187263264 26786702868536 40180054302804 53573405737072 80360108605608 107146811474144 160720217211216 321440434422432