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3140741056000 = 2953197249107
BaseRepresentation
bin101101101101000010110…
…000010100011000000000
3102010020210122101200220211
4231231002300110120000
5402424214202243000
610402500404443504
7442624330331362
oct55550260243000
912106718350824
103140741056000
111000a874a1199
124288439a9594
1319a22aaa7672
14ac026b08d32
1556a705477ba
hex2db42c14600

3140741056000 has 160 divisors (see below), whose sum is σ = 7871420205792. Its totient is φ = 1249914265600.

The previous prime is 3140741055997. The next prime is 3140741056027. The reversal of 3140741056000 is 6501470413.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12483447 + ... + 12732553.

Almost surely, 23140741056000 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 3140741056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935710102896).

3140741056000 is an abundant number, since it is smaller than the sum of its proper divisors (4730679149792).

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

3140741056000 is an equidigital number, since it uses as much as digits as its factorization.

3140741056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249337 (or 249311 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 3140741056000 in words is "three trillion, one hundred forty billion, seven hundred forty-one million, fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 197 200 250 256 320 394 400 500 512 640 788 800 985 1000 1280 1576 1600 1970 2000 2560 3152 3200 3940 4000 4925 6304 6400 7880 8000 9850 12608 12800 15760 16000 19700 24625 25216 31520 32000 39400 49250 50432 63040 64000 78800 98500 100864 126080 157600 197000 249107 252160 315200 394000 498214 504320 630400 788000 996428 1245535 1260800 1576000 1992856 2491070 2521600 3152000 3985712 4982140 6227675 6304000 7971424 9964280 12455350 12608000 15942848 19928560 24910700 31138375 31885696 39857120 49074079 49821400 62276750 63771392 79714240 98148158 99642800 124553500 127542784 159428480 196296316 199285600 245370395 249107000 318856960 392592632 398571200 490740790 498214000 637713920 785185264 797142400 981481580 996428000 1226851975 1570370528 1594284800 1962963160 1992856000 2453703950 3140741056 3188569600 3925926320 3985712000 4907407900 6134259875 6281482112 7851852640 7971424000 9814815800 12268519750 12562964224 15703705280 15942848000 19629631600 24537039500 25125928448 31407410560 39259263200 49074079000 62814821120 78518526400 98148158000 125629642240 157037052800 196296316000 314074105600 392592632000 628148211200 785185264000 1570370528000 3140741056000