3990133443788800
3,990,133,443,788,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 3990133443788800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1944 divisors.
3990133443788800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 3990133443788800:
217 × 52 × 72 × 112 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 59 × 59 × 59)See below for interesting mathematical facts about the number 3990133443788800 from the Numbermatics database.
Names of 3990133443788800
- Cardinal: 3990133443788800 can be written as Three quadrillion, nine hundred ninety trillion, one hundred thirty-three billion, four hundred forty-three million, seven hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.9901334437888 × 1015
Factors of 3990133443788800
Divisors of 3990133443788800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 59 64 70 77 80 88 98 100 110 112 118 121 128 140 154 160 175 176 196 200 220 224 236 242 245 256 275 280 295 308 320 350 352 385 392 400 413 440 448 472 484 490 512 539 550 560 590 605 616 640 649 700 704 770 784 800 826 847 880 896 944 968 980 1024 1078 1100 1120 1180 1210 1225 1232 1280 1298 1400 1408 1475 1540 1568 1600 1652 1694 1760 1792 1888 1925 1936 1960 2048 2065 2156 2200 2240 2360 2420 2450 2464 2560 2596 2695 2800 2816 2891 2950 3025 3080 3136 3200 3245 3304 3388 3481 3520 3584 3776 3850 3872 3920 4096 4130 4235 4312 4400 4480 4543 4720 4840 4900 4928 5120 5192 5390 5600 5632 5782 5900 5929 6050 6160 6272 6400 6490 6608 6776 6962 7040 7139 7168 7552 7700 7744 7840 8192 8260 8470 8624 8800 8960 9086 9440 9680 9800 9856 10240 10325 10384 10780 11200 11264 11564 11800 11858 12100 12320 12544 12800 12980 13216 13475 13552 13924 14080 14278 14336 14455 15104 15400 15488 15680 16225 16384 16520 16940 17248 17405 17600 17920 18172 18880 19360 19600 19712 20480 20650 20768 21175 21560 22400 22528 22715 23128 23600 23716 24200 24367 24640 25088 25600 25960 26432 26950 27104 27848 28160 28556 28672 28910 29645 30208 30800 30976 31360 31801 32450 32768 33040 33880 34496 34810 35200 35695 35840 36344 37760 38291 38720 39200 39424 40960 41300 41536 42350 43120 44800 45056 45430 46256 47200 47432 48400 48734 49280 49973 50176 51200 51920 52864 53900 54208 55696 56320 57112 57344 57820 59290 60416 61600 61952 62720 63602 64900 65536 66080 67760 68992 69620 70400 71390 71680 72275 72688 75520 76582 77440 78400 78848 81920 82600 83072 84700 86240 87025 89600 90112 90860 92512 94400 94864 96800 97468 98560 99946 100352 102400 103840 105728 107800 108416 111392 112640 113575 114224 114688 115640 118580 120832 121835 123200 123904 125440 127204 129800 131072 132160 135520 137984 139240 140800 142780 143360 144550 145376 148225 151040 153164 154880 156800 157696 159005 163840 165200 166144 169400 170569 172480 174050 178475 179200 180224 181720 185024 188800 189728 191455 193600 194936 197120 199892 200704 204800 205379 207680 211456 215600 216832 222784 225280 227150 228448 229376 231280 237160 241664 243670 246400 247808 249865 250880 254408 259600 264320 268037 271040 275968 278480 281600 285560 286720 289100 290752 296450 302080 306328 309760 313600 315392 318010 327680 330400 332288 338800 341138 344960 348100 349811 356950 358400 360448 363440 370048 377600 379456 382910 387200 389872 394240 399784 401408 409600 410758 415360 421201 422912 431200 433664 445568 450560 454300 456896 458752 462560 474320 483328 487340 492800 495616 499730 501760 508816 519200 528640 536074 542080 551936 556960 563200 571120 573440 578200 581504 592900 604160 609175 612656 619520 627200 630784 636020 655360 660800 664576 677600 682276 689920 696200 699622 713900 716800 720896 726880 740096 755200 758912 765820 774400 779744 788480 795025 799568 802816 819200 821516 830720 842402 845824 852845 862400 867328 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61481254912 62735974400 63618199040 64406854400 64774893568 66044316800 67298590720 69009571840 69582405200 69865062400 70847539840 71641292800 73607833600 74028449792 75479219200 76851568640 77932293824 79522748800 79845785600 80968616960 81875763200 82440773632 84123238400 84536725504 86261964800 87830364160 88559424800 89065478656 92535562240 94218027008 96064460800 96613400576 97415367280 101210771200 101789118464 103050967040 104205516800 105670906880 109787955200 111331848320 111784099840 113356063744 114626068480 115669452800 117772533760 120766750720 121769209100 122962509824 125471948800 127236398080 128813708800 129549787136 132088633600 134597181440 138019143680 139164810400 139730124800 141695079680 143282585600 147215667200 148056899584 150958438400 153703137280 155864587648 159045497600 161937233920 163751526400 164881547264 168246476800 169073451008 172523929600 175660728320 177118849600 178130957312 185071124480 188436054016 192128921600 193226801152 194830734560 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878303641600 890654786560 906848509952 925355622400 942180270080 966134005760 974153672800 1017891184640 1030509670400 1036398297088 1056709068800 1113318483200 1133560637440 1146260684800 1177725337600 1207667507200 1229625098240 1246916701184 1272363980800 1295497871360 1319052378112 1352587608064 1380191436800 1416950796800 1425047658496 1480568995840 1537031372800 1558645876480 1619372339200 1628625895424 1648815472640 1690734510080 1781309573120 1813697019904 1850711244800 1932268011520 1948307345600 2035782369280 2061019340800 2072796594176 2113418137600 2226636966400 2267121274880 2355450675200 2415335014400 2493833402368 2544727961600 2590995742720 2705175216128 2833901593600 2850095316992 3074062745600 3117291752960 3238744678400 3257251790848 3297630945280 3381469020160 3562619146240 3627394039808 3701422489600 3896614691200 4071564738560 4122038681600 4226836275200 4453273932800 4534242549760 4710901350400 4830670028800 4987666804736 5089455923200 5181991485440 5667803187200 5700190633984 6148125491200 6234583505920 6477489356800 6595261890560 6762938040320 7125238292480 7254788079616 7402844979200 7793229382400 8143129477120 8244077363200 8453672550400 8906547865600 9068485099520 9661340057600 9975333609472 10178911846400 10363982970880 11335606374400 11400381267968 12469167011840 12954978713600 13525876080640 14250476584960 14509576159232 15586458764800 16286258954240 16488154726400 16907345100800 17813095731200 18136970199040 19950667218944 20357823692800 22671212748800 22800762535936 24938334023680 25909957427200 28500953169920 31172917529600 32976309452800 33814690201600 35626191462400 36273940398080 39901334437888 40715647385600 45342425497600 49876668047360 51819914854400 57001906339840 62345835059200 67629380403200 71252382924800 72547880796160 79802668875776 81431294771200 90684850995200 99753336094720 114003812679680 124691670118400 142504765849600 159605337751552 181369701990400 199506672189440 249383340236800 285009531699200 362739403980800 399013344378880 498766680473600 570019063398400 798026688757760 997533360947200 1995066721894400 3990133443788800
- Sum of all divisors σ(n): 12870827592671160
- Sum of proper divisors (its aliquot sum) s(n): 8880694148882360
- 3990133443788800 is an abundant number, because the sum of its proper divisors (8880694148882360) is greater than itself. Its abundance is 4890560705093560
Bases of 3990133443788800
- Binary: 11100010110100000001010101101000011000000000000000002
- Hexadecimal: 0xE2D0156860000
- Base-36: 13ADTZY8M4G
Squares and roots of 3990133443788800
- 3990133443788800 squared (39901334437888002) is 15921164899241868769299005440000
- 3990133443788800 cubed (39901334437888003) is 63527572528541320794719199358005985411072000000
-
The
square root of 3990133443788800 is 63167503.0675489025 -
The
cube root of 3990133443788800 is 158609.4795548643
Scales and comparisons
How big is 3990133443788800?- 3,990,133,443,788,800 seconds is equal to 126,873,901 years, 11 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 3,990,133,443,788,800 would take you about three hundred eighty million, six hundred twenty-one thousand, seven hundred three 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 3990133443788800 cubic inches would be around 13217.5 feet tall.
Recreational maths with 3990133443788800
- 3990133443788800 backwards is 0088873443310993
- 3990133443788800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3990133443788800's digits is 70
- More coming soon!
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"Number 3990133443788800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 3990133443788800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/3990133443788800/
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Numbermatics. 2024. "Number 3990133443788800 - Facts about the integer". https://numbermatics.com/n/3990133443788800/
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