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324312000030432 = 25321126083333439
BaseRepresentation
bin100100110111101011100010…
…1100011101110011011100000
31120112021220221220012112021200
41021233113011203232123200
5320002011434001433212
63105430513115521200
7125211524456152101
oct11157270543563340
91515256856175250
10324312000030432
1194376a46247947
1230459a08759200
1310bc664b4884ab
145a12adab603a8
1527761755d86dc
hex126f5c58ee6e0

324312000030432 has 36 divisors (see below), whose sum is σ = 922262250087360. Its totient is φ = 108104000010048.

The previous prime is 324312000030379. The next prime is 324312000030451. The reversal of 324312000030432 is 234030000213423.

324312000030432 is a `hidden beast` number, since 3 + 24 + 3 + 1 + 200 + 0 + 0 + 3 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3243120000304322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 324312000030396 and 324312000030405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563041666432 + ... + 563041667007.

It is an arithmetic number, because the mean of its divisors is an integer number (25618395835760).

Almost surely, 2324312000030432 is an apocalyptic number.

324312000030432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

324312000030432 is an abundant number, since it is smaller than the sum of its proper divisors (597950250056928).

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

324312000030432 is a wasteful number, since it uses less digits than its factorization.

324312000030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126083333455 (or 1126083333444 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 324312000030432 its reverse (234030000213423), we get a palindrome (558342000243855).

The spelling of 324312000030432 in words is "three hundred twenty-four trillion, three hundred twelve billion, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1126083333439 2252166666878 3378250000317 4504333333756 6756500000634 9008666667512 10134750000951 13513000001268 18017333335024 20269500001902 27026000002536 36034666670048 40539000003804 54052000005072 81078000007608 108104000010144 162156000015216 324312000030432