1006141193200
1,006,141,193,200 is an even composite number composed of seven prime numbers multiplied together.
1006141193200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1006141193200:
24 × 52 × 11 × 13 × 43 × 127 × 3221
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 43 × 127 × 3221)See below for interesting mathematical facts about the number 1006141193200 from the Numbermatics database.
Names of 1006141193200
- Cardinal: 1006141193200 can be written as One trillion, six billion, one hundred forty-one million, one hundred ninety-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.0061411932 × 1012
Factors of 1006141193200
Divisors of 1006141193200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 40 43 44 50 52 55 65 80 86 88 100 104 110 127 130 143 172 176 200 208 215 220 254 260 275 286 325 344 400 430 440 473 508 520 550 559 572 635 650 688 715 860 880 946 1016 1040 1075 1100 1118 1144 1270 1300 1397 1430 1651 1720 1892 2032 2150 2200 2236 2288 2365 2540 2600 2794 2795 2860 3175 3221 3302 3440 3575 3784 4300 4400 4472 4730 5080 5200 5461 5588 5590 5720 6149 6350 6442 6604 6985 7150 7568 8255 8600 8944 9460 10160 10922 11176 11180 11440 11825 12298 12700 12884 13208 13970 13975 14300 16105 16510 17200 18161 18920 21844 22352 22360 23650 24596 25400 25768 26416 27305 27940 27950 28600 30745 32210 33020 34925 35431 36322 37840 41275 41873 43688 44720 47300 49192 50800 51536 54610 55880 55900 57200 60071 61490 64420 66040 69850 70862 70993 72644 80525 82550 83746 87376 90805 94600 98384 109220 111760 111800 120142 122980 128840 132080 136525 138503 139700 141724 141986 145288 153725 161050 165100 167492 177155 181610 189200 209365 218440 223600 240284 245960 257680 273050 277006 279400 283448 283972 290576 300355 307450 322100 330200 334984 354310 354965 363220 409067 418730 436880 454025 460603 480568 491920 546100 554012 558800 566896 567944 600710 614900 644200 660400 669968 692515 708620 709930 726440 780923 818134 837460 885775 908050 921206 961136 1046825 1092200 1108024 1135888 1201420 1229800 1288400 1385030 1417240 1419860 1452880 1501775 1523533 1561846 1636268 1674920 1771550 1774825 1800539 1816100 1842412 2045335 2093650 2184400 2216048 2303015 2402840 2459600 2770060 2834480 2839720 3003550 3047066 3123692 3272536 3349840 3462575 3543100 3549650 3601078 3632200 3684824 3904615 4090670 4187300 4499737 4606030 4805680 5317871 5540120 5679440 6007100 6094132 6247384 6545072 6925150 7086200 7099300 7202156 7264400 7369648 7617665 7809230 8181340 8374600 8999474 9002695 9212060 10226675 10635742 11080240 11515075 12014200 12188264 12494768 13850300 14172400 14198600 14404312 15235330 15618460 16362680 16749200 17589881 17998948 18005390 18424120 19523075 19805929 20453350 21271484 22498685 23030150 24028400 24376528 26589355 27700600 28397200 28808624 30470660 31236920 32725360 35179762 35997896 36010780 36848240 38088325 39046150 39611858 40906700 42542968 44997370 45013475 46060300 53178710 55401200 58496581 60941320 62473840 70359524 71995792 72021560 76176650 78092300 79223716 81813400 85085936 87949405 89994740 90026950 92120600 99029645 106357420 112493425 116993162 121882640 132946775 140719048 144043120 152353300 156184600 158447432 163626800 175898810 179989480 180053900 184241200 193488691 198059290 212714840 224986850 228668453 233986324 265893550 281438096 292482905 304706600 312369200 316894864 351797620 359978960 360107800 386977382 396118580 425429680 439747025 449973700 457336906 467972648 495148225 531787100 584965810 609413200 703595240 720215600 773954764 792237160 879494050 899947400 914673812 935945296 967443455 990296450 1063574200 1143342265 1169931620 1407190480 1462414525 1547909528 1584474320 1758988100 1799894800 1829347624 1934886910 1980592900 2127148400 2286684530 2339863240 2515352983 2924829050 3095819056 3517976200 3658695248 3869773820 3961185800 4573369060 4679726480 4837217275 5030705966 5716711325 5849658100 7035952400 7739547640 7922371600 9146738120 9674434550 10061411932 11433422650 11699316200 12576764915 15479095280 18293476240 19348869100 20122823864 22866845300 23398632400 25153529830 38697738200 40245647728 45733690600 50307059660 62883824575 77395476400 91467381200 100614119320 125767649150 201228238640 251535298300 503070596600 1006141193200
- Sum of all divisors σ(n): 2929684488192
- Sum of proper divisors (its aliquot sum) s(n): 1923543294992
- 1006141193200 is an abundant number, because the sum of its proper divisors (1923543294992) is greater than itself. Its abundance is 917402101792
Bases of 1006141193200
- Binary: 11101010010000101011000000111011111100002
- Hexadecimal: 0xEA42B03BF0
- Base-36: CU7QHL9S
Squares and roots of 1006141193200
- 1006141193200 squared (10061411932002) is 1012320100653919726240000
- 1006141193200 cubed (10061411932003) is 1018536953972278893616130949568000000
-
The
square root of 1006141193200 is 1003065.8967385941 -
The
cube root of 1006141193200 is 10020.4288816603
Scales and comparisons
How big is 1006141193200?- 1,006,141,193,200 seconds is equal to 31,992 years, 9 weeks, 1 day, 16 hours, 46 minutes, 40 seconds.
-
To count from 1 to 1,006,141,193,200 would take you about seventy-nine thousand, nine hundred eighty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1006141193200 cubic inches would be around 835 feet tall.
Recreational maths with 1006141193200
- 1006141193200 backwards is 0023911416001
- The number of decimal digits it has is: 13
- The sum of 1006141193200's digits is 28
- More coming soon!
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