Search a number
-
+
321480842000 = 2453943717033
BaseRepresentation
bin1001010110110011100…
…00000101101100010000
31010201210112220212022212
410223121300011230100
520231343043421000
6403404122051252
732140411033013
oct4533160055420
91121715825285
10321480842000
1111438061088a
125237b349b28
132441424b6c6
14117b9d8137a
15856843cc35
hex4ad9c05b10

321480842000 has 80 divisors (see below), whose sum is σ = 777468689712. Its totient is φ = 128571161600.

The previous prime is 321480841991. The next prime is 321480842003. The reversal of 321480842000 is 248084123.

It can be written as a sum of positive squares in 8 ways, for example, as 138762210064 + 182718631936 = 372508^2 + 427456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (321480842003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18865484 + ... + 18882516.

Almost surely, 2321480842000 is an apocalyptic number.

It is an amenable number.

321480842000 is an abundant number, since it is smaller than the sum of its proper divisors (455987847712).

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

321480842000 is a wasteful number, since it uses less digits than its factorization.

321480842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26493 (or 26477 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 321480842000 in words is "three hundred twenty-one billion, four hundred eighty million, eight hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 9437 17033 18874 34066 37748 47185 68132 75496 85165 94370 136264 150992 170330 188740 235925 272528 340660 377480 425825 471850 681320 754960 851650 943700 1179625 1362640 1703300 1887400 2129125 2359250 3406600 3774800 4258250 4718500 6813200 8516500 9437000 17033000 18874000 34066000 160740421 321480842 642961684 803702105 1285923368 1607404210 2571846736 3214808420 4018510525 6429616840 8037021050 12859233680 16074042100 20092552625 32148084200 40185105250 64296168400 80370210500 160740421000 321480842000