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314984609900 = 225283142926557
BaseRepresentation
bin1001001010101101000…
…10111011100001101100
31010010000211010002011222
410211112202323201230
520130042030004100
6400411341202512
731520420002562
oct4452642734154
91103024102158
10314984609900
11111647667524
1251067860438
132391a41989c
14113612bba32
1582d7e83485
hex49568bb86c

314984609900 has 72 divisors (see below), whose sum is σ = 692261890320. Its totient is φ = 124384055040.

The previous prime is 314984609899. The next prime is 314984609903. The reversal of 314984609900 is 9906489413.

It is not an unprimeable number, because it can be changed into a prime (314984609903) 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 23 ways as a sum of consecutive naturals, for example, 11847422 + ... + 11873978.

Almost surely, 2314984609900 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 314984609900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346130945160).

314984609900 is an abundant number, since it is smaller than the sum of its proper divisors (377277280420).

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

314984609900 is a wasteful number, since it uses less digits than its factorization.

314984609900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28083 (or 28076 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 314984609900 in words is "three hundred fourteen billion, nine hundred eighty-four million, six hundred nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1429 1660 2075 2858 4150 5716 7145 8300 14290 26557 28580 35725 53114 71450 106228 118607 132785 142900 237214 265570 474428 531140 593035 663925 1186070 1327850 2204231 2372140 2655700 2965175 4408462 5930350 8816924 11021155 11860700 22042310 37949953 44084620 55105775 75899906 110211550 151799812 189749765 220423100 379499530 758999060 948748825 1897497650 3149846099 3794995300 6299692198 12599384396 15749230495 31498460990 62996921980 78746152475 157492304950 314984609900