993824133120
993,824,133,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 993824133120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
993824133120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 993824133120:
212 × 32 × 5 × 7 × 13 × 193 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 193 × 307)See below for interesting mathematical facts about the number 993824133120 from the Numbermatics database.
Names of 993824133120
- Cardinal: 993824133120 can be written as Nine hundred ninety-three billion, eight hundred twenty-four million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.9382413312 × 1011
Factors of 993824133120
Divisors of 993824133120
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 180 182 192 193 195 208 210 224 234 240 252 256 260 273 280 288 307 312 315 320 336 360 364 384 386 390 416 420 448 455 468 480 504 512 520 546 560 576 579 585 614 624 630 640 672 720 728 768 772 780 819 832 840 896 910 921 936 960 965 1008 1024 1040 1092 1120 1152 1158 1170 1228 1248 1260 1280 1344 1351 1365 1440 1456 1535 1536 1544 1560 1638 1664 1680 1737 1792 1820 1842 1872 1920 1930 2016 2048 2080 2149 2184 2240 2304 2316 2340 2456 2496 2509 2520 2560 2688 2702 2730 2763 2880 2895 2912 3070 3072 3088 3120 3276 3328 3360 3474 3584 3640 3684 3744 3840 3860 3991 4032 4053 4095 4096 4160 4298 4368 4480 4605 4608 4632 4680 4912 4992 5018 5040 5120 5376 5404 5460 5526 5760 5790 5824 6140 6144 6176 6240 6447 6552 6656 6720 6755 6948 7168 7280 7368 7488 7527 7680 7720 7982 8064 8106 8190 8320 8596 8685 8736 8960 9210 9216 9264 9360 9824 9984 10036 10080 10240 10745 10752 10808 10920 11052 11520 11580 11648 11973 12159 12280 12288 12352 12480 12545 12894 13104 13312 13440 13510 13815 13896 14336 14560 14736 14976 15054 15360 15440 15964 16128 16212 16380 16640 17192 17370 17472 17563 17920 18420 18432 18528 18720 19341 19648 19955 19968 20072 20160 20265 20480 21490 21504 21616 21840 22104 22581 23040 23160 23296 23946 24318 24560 24704 24960 25090 25788 26208 26624 26880 27020 27630 27792 27937 28672 29120 29472 29952 30108 30720 30880 31928 32235 32256 32424 32760 33280 34384 34740 34944 35126 35840 35919 36840 36864 37056 37440 37635 38682 39296 39910 39936 40144 40320 40530 42980 43008 43232 43680 44208 45162 46080 46320 46592 47892 48636 49120 49408 49920 50180 51576 52416 52689 53248 53760 54040 55260 55584 55874 58240 58944 59251 59865 59904 60216 60795 61440 61760 63856 64470 64512 64848 65520 66560 68768 69480 69888 70252 71680 71838 73680 74112 74880 75270 77364 78592 79820 79872 80288 80640 81060 83811 85960 86016 86464 87360 87815 88416 90324 92160 92640 93184 95784 96705 97272 98240 98816 99840 100360 103152 104832 105378 107520 108080 110520 111168 111748 112905 116480 117888 118502 119730 119808 120432 121590 123520 127712 128940 129024 129696 131040 133120 137536 138960 139685 139776 140504 143360 143676 147360 148224 149760 150540 154728 157184 158067 159640 159744 160576 161280 162120 167622 171920 172928 174720 175630 176832 177753 179595 180648 184320 185280 186368 191568 193410 194544 196480 197632 199680 200720 206304 209664 210756 215040 216160 221040 222336 223496 225810 232960 235776 237004 239460 239616 240864 243180 247040 251433 255424 257880 258048 259392 262080 263445 266240 275072 277920 279370 279552 281008 287352 294720 296255 296448 299520 301080 309456 314368 316134 319280 321152 322560 324240 335244 343840 345856 349440 351260 353664 355506 359190 361296 370560 372736 383136 386820 389088 392960 395264 399360 401440 412608 414757 419055 419328 421512 430080 432320 442080 444672 446992 451620 465920 471552 474008 478920 479232 481728 486360 494080 502866 510848 515760 518784 524160 526890 533259 550144 555840 558740 559104 562016 574704 589440 592510 592896 599040 602160 618912 628736 632268 638560 642304 645120 648480 670488 687680 691712 698880 702520 707328 711012 718380 722592 741120 766272 770263 773640 778176 785920 790335 790528 798720 802880 825216 829514 838110 838656 843024 864640 884160 888765 889344 893984 903240 931840 943104 948016 957840 963456 972720 988160 1005732 1021696 1031520 1037568 1048320 1053780 1066518 1100288 1111680 1117480 1118208 1124032 1149408 1178880 1185020 1185792 1198080 1204320 1237824 1244271 1257165 1257472 1264536 1277120 1284608 1290240 1296960 1340976 1375360 1383424 1397760 1405040 1414656 1422024 1436760 1445184 1482240 1532544 1540526 1547280 1556352 1571840 1580670 1605760 1650432 1659028 1676220 1677312 1686048 1729280 1768320 1777530 1778688 1787968 1806480 1863680 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28903680 29862504 30336512 30650880 30810520 30830592 31127040 32183424 32351046 33008640 33180560 33720960 34128576 34661835 35573760 35759360 35969024 36781056 36972624 37328130 37920640 38538240 39610368 39816672 40229280 40465152 40867840 41502720 42660720 42911232 43134728 44011520 44961280 45504768 45976320 46215780 46245888 48526569 49041408 49296832 49512960 49770840 49803264 50581440 51384320 53088896 53639040 53918410 53953536 55458936 56586240 56880960 57214976 57807360 59725008 60673024 61301760 61621040 62254080 64366848 64702092 66017280 66361120 67441920 68257152 69323670 71518720 71938048 73562112 73945248 74656260 75841280 77076480 79220736 79633344 80458560 80877615 80930304 81735680 83005440 85321440 85822464 86269456 89922560 91009536 91952640 92431560 92491776 97053138 98593664 99025920 99541680 101162880 106177792 107278080 107836820 107907072 110917872 113761920 114429952 115614720 119450016 121346048 122603520 123242080 124508160 128733696 129404184 132034560 132722240 134883840 136514304 138647340 143037440 147124224 147890496 149312520 151682560 154152960 159266688 160917120 161755230 161860608 170642880 171644928 172538912 179845120 182019072 183905280 184863120 194106276 197187328 198051840 199083360 202325760 212355584 214556160 215673640 215814144 221835744 227523840 231229440 238900032 242632845 242692096 245207040 246484160 249016320 257467392 258808368 265444480 269767680 273028608 277294680 286074880 295780992 298625040 303365120 318533376 321834240 323510460 323721216 341285760 343289856 345077824 359690240 364038144 367810560 369726240 388212552 394374656 396103680 398166720 404651520 424711168 429112320 431347280 443671488 455047680 462458880 477800064 485265690 492968320 514934784 517616736 530888960 539535360 546057216 554589360 572149760 591561984 597250080 606730240 637066752 643668480 647020920 647442432 682571520 690155648 728076288 735621120 739452480 776425104 788749312 796333440 809303040 849422336 858224640 862694560 887342976 910095360 955600128 970531380 985936640 1029869568 1035233472 1061777920 1079070720 1092114432 1109178720 1183123968 1194500160 1213460480 1274133504 1287336960 1294041840 1365143040 1380311296 1478904960 1552850208 1577498624 1592666880 1618606080 1698844672 1716449280 1725389120 1774685952 1820190720 1911200256 1941062760 1971873280 2070466944 2123555840 2184228864 2218357440 2366247936 2389000320 2548267008 2574673920 2588083680 2730286080 2760622592 2957809920 3105700416 3154997248 3185333760 3237212160 3450778240 3549371904 3640381440 3822400512 3882125520 3943746560 4140933888 4247111680 4436714880 4732495872 4778000640 5096534016 5149347840 5176167360 5460572160 5521245184 5915619840 6211400832 6370667520 6901556480 7098743808 7644801024 7764251040 7887493120 8281867776 8494223360 8873429760 9464991744 9556001280 10352334720 10921144320 11042490368 11831239680 12422801664 12741335040 13803112960 14197487616 15289602048 15528502080 15774986240 16563735552 17746859520 19112002560 20704669440 22084980736 23662479360 24845603328 25482670080 27606225920 28394975232 31057004160 33127471104 35493719040 38224005120 41409338880 47324958720 49691206656 55212451840 62114008320 66254942208 70987438080 76448010240 82818677760 99382413312 110424903680 124228016640 141974876160 165637355520 198764826624 248456033280 331274711040 496912066560 993824133120
- Sum of all divisors σ(n): 4275648529152
- Sum of proper divisors (its aliquot sum) s(n): 3281824396032
- 993824133120 is an abundant number, because the sum of its proper divisors (3281824396032) is greater than itself. Its abundance is 2288000262912
Bases of 993824133120
- Binary: 11100111011001001000100011010000000000002
- Hexadecimal: 0xE76488D000
- Base-36: COK188W0
Squares and roots of 993824133120
- 993824133120 squared (9938241331202) is 987686407571719480934400
- 993824133120 cubed (9938241331203) is 981586587799371117367446447587328000
-
The
square root of 993824133120 is 996907.2841142249 -
The
cube root of 993824133120 is 9979.3712518029
Scales and comparisons
How big is 993824133120?- 993,824,133,120 seconds is equal to 31,600 years, 27 weeks, 5 days, 3 hours, 12 minutes.
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To count from 1 to 993,824,133,120 would take you about sixty-three thousand, two hundred one 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 993824133120 cubic inches would be around 831.6 feet tall.
Recreational maths with 993824133120
- 993824133120 backwards is 021331428399
- 993824133120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 993824133120's digits is 45
- More coming soon!
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The information we have on file for 993824133120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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