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314320200041000 = 23537110741374253
BaseRepresentation
bin100011101110111110101111…
…1110111101000001000101000
31112012220201101011201222021102
41013131331133313220020220
5312144310232202303000
63032300412333300532
7123130612400445026
oct10735753767501050
91465821334658242
10314320200041000
11911744a268116a
122b30543b034748
131065036313213a
145789270ac1716
1526512ca4ed3d5
hex11ddf5fde8228

314320200041000 has 128 divisors (see below), whose sum is σ = 752839305903360. Its totient is φ = 122798779936000.

The previous prime is 314320200040993. The next prime is 314320200041063. The reversal of 314320200041000 is 140002023413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13090127 + ... + 28284126.

It is an arithmetic number, because the mean of its divisors is an integer number (5881557077370).

Almost surely, 2314320200041000 is an apocalyptic number.

It is an amenable number.

314320200041000 is an abundant number, since it is smaller than the sum of its proper divisors (438519105862360).

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

314320200041000 is a wasteful number, since it uses less digits than its factorization.

314320200041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41374452 (or 41374438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 314320200041000 its reverse (140002023413), we get a palindrome (314460202064413).

The spelling of 314320200041000 in words is "three hundred fourteen trillion, three hundred twenty billion, two hundred million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 107 125 142 200 214 250 284 355 428 500 535 568 710 856 1000 1070 1420 1775 2140 2675 2840 3550 4280 5350 7100 7597 8875 10700 13375 14200 15194 17750 21400 26750 30388 35500 37985 53500 60776 71000 75970 107000 151940 189925 303880 379850 759700 949625 1519400 1899250 3798500 7597000 41374253 82748506 165497012 206871265 330994024 413742530 827485060 1034356325 1654970120 2068712650 2937571963 4137425300 4427045071 5171781625 5875143926 8274850600 8854090142 10343563250 11750287852 14687859815 17708180284 20687126500 22135225355 23500575704 29375719630 35416360568 41374253000 44270450710 58751439260 73439299075 88540901420 110676126775 117502878520 146878598150 177081802840 221352253550 293757196300 314320200041 367196495375 442704507100 553380633875 587514392600 628640400082 734392990750 885409014200 1106761267750 1257280800164 1468785981500 1571601000205 2213522535500 2514561600328 2937571963000 3143202000410 4427045071000 6286404000820 7858005001025 12572808001640 15716010002050 31432020004100 39290025005125 62864040008200 78580050010250 157160100020500 314320200041000