19972478748000

Names of 19972478748000

• Cardinal: 19972478748000 can be written as Nineteen trillion, nine hundred seventy-two billion, four hundred seventy-eight million, seven hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.9972478748 × 10¹³

Factors of 19972478748000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 101

Divisors of 19972478748000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 32 38 40 41 48 50 57 60 62 75 76 80 82 93 95 96 100 114 120 123 124 125 150 152 155 160 164 186 190 200 205 228 240 246 248 250 285 300 304 310 328 372 375 380 400 410 456 465 475 480 492 496 500 570 589 600 608 615 620 656 744 750 760 775 779 800 820 912 930 950 984 992 1000 1025 1140 1178 1200 1230 1240 1271 1312 1425 1488 1500 1520 1550 1558 1640 1681 1767 1824 1860 1900 1968 2000 2050 2280 2325 2337 2356 2375 2400 2460 2480 2542 2850 2945 2976 3000 3040 3075 3100 3116 3280 3362 3534 3720 3800 3813 3875 3895 3936 4000 4100 4560 4650 4674 4712 4750 4920 4960 5043 5084 5125 5700 5890 6000 6150 6200 6232 6355 6560 6724 7068 7125 7440 7600 7626 7750 7790 8200 8405 8835 9120 9300 9348 9424 9500 9840 10086 10168 10250 11400 11625 11685 11780 12000 12300 12400 12464 12710 13448 14136 14250 14725 14880 15200 15252 15375 15500 15580 16400 16810 17670 18600 18696 18848 19000 19065 19475 19680 20172 20336 20500 22800 23250 23370 23560 24149 24600 24800 24928 25215 25420 26896 28272 28500 29450 30504 30750 31000 31160 31775 31939 32800 33620 35340 37200 37392 38000 38130 38950 40344 40672 41000 42025 44175 45600 46500 46740 47120 48298 49200 50430 50840 52111 53792 56544 57000 58425 58900 61008 61500 62000 62320 63550 63878 67240 68921 70680 72447 73625 74400 74784 76000 76260 77900 80688 82000 84050 88350 93000 93480 94240 95325 95817 96596 97375 98400 100860 101680 104222 114000 116850 117800 120745 122016 123000 124000 124640 126075 127100 127756 134480 137842 141360 144894 147250 152520 155800 156333 158875 159695 161376 164000 168100 176700 186000 186960 190650 191634 193192 194750 201720 203360 206763 208444 210125 220875 228000 233700 235600 241490 246000 252150 254200 255512 260555 268960 275684 282720 289788 292125 294500 305040 311600 312666 317750 319390 336200 344605 353400 362235 372000 373920 381300 383268 386384 389500 403440 413526 416888 420250 441750 467400 471200 476625 479085 482980 492000 504300 508400 511024 521110 551368 579576 584250 589000 603725 610080 623200 625332 630375 635500 638780 672400 689210 706800 724470 762600 766536 772768 779000 781665 798475 806880 827052 833776 840500 883500 934800 953250 958170 965960 990109 1008600 1016800 1022048 1033815 1042220 1102736 1159152 1168500 1178000 1207450 1250664 1260750 1271000 1277560 1302775 1309499 1344800 1378420 1413600 1448940 1525200 1533072 1558000 1563330 1596950 1654104 1667552 1681000 1723025 1767000 1811175 1869600 1906500 1916340 1931920 1980218 2017200 2067630 2084440 2136551 2205472 2318304 2337000 2356000 2395425 2414900 2501328 2521500 2542000 2555120 2605550 2618998 2756840 2825761 2897880 2970327 3018625 3050400 3066144 3116000 3126660 3193900 3308208 3362000 3446050 3534000 3622350 3813000 3832680 3863840 3908325 3928497 3960436 3992375 4034400 4135260 4168880 4273102 4674000 4790850 4829800 4950545 5002656 5043000 5084000 5110240 5169075 5211100 5237996 5513680 5651522 5795760 5940654 6037250 6253320 6387800 6409653 6513875 6547495 6616416 6724000 6892100 7068000 7244700 7626000 7665360 7816650 7856994 7920872 7984750 8270520 8337760 8477283 8546204 8615125 9055875 9348000 9581700 9659600 9901090 10086000 10338150 10422200 10475992 10682755 11027360 11303044 11591520 11881308 11977125 12074500 12506640 12775600 12819306 13027750 13094990 13784200 14128805 14489400 14851635 15252000 15330720 15633300 15713988 15841744 15969500 16541040 16954566 17092408 17230250 18111750 19163400 19319200 19541625 19642485 19802180 20172000 20676300 20844400 20951984 21365510 22606088 23762616 23954250 24149000 24752725 25013280 25551200 25638612 25845375 26055500 26189980 27568400 28257610 28978800 29703270 31266600 31427976 31683488 31939000 32048265 32737475 33082080 33909132 34184816 34460500 36223500 38326800 39083250 39284970 39604360 40594469 41352600 41688800 41903968 42386415 42731020 45212176 47525232 47908500 48298000 49505450 51277224 51690750 52111000 52379960 53413775 53689459 55136800 56515220 57957600 59406540 62533200 62855952 63878000 64096530 65474950 67818264 68369632 68921000 70644025 72447000 74258175 76653600 78166500 78569940 79208720 81188938 82705200 84772830 85462040 87598591 90424352 95050464 95817000 96596000 98212425 99010900 102554448 103381500 104222000 104759920 106827550 107378918 113030440 118813080 121783407 123763625 125066400 125711904 127756000 128193060 130949900 135636528 137842000 141288050 144894000 148516350 156333000 157139880 158417440 160241325 161068377 162377876 163687375 165410400 169545660 170924080 175197182 191634000 196424850 198021800 202972345 205108896 206763000 208444000 209519840 211932075 213655100 214757836 226060880 237626160 243566814 247527250 256386120 261899800 262795773 267068875 268447295 271273056 275684000 282576100 289788000 297032700 312666000 314279760 320482650 322136754 324755752 327374750 339091320 341848160 350394364 353220125 371290875 383268000 392849700 396043600 405944690 413526000 423864150 427310200 429515672 437992955 452121760 475252320 487133628 491062125 495054500 512772240 523799600 525591546 534137750 536894590 565152200 594065400 608917035 625332000 628559520 640965300 644273508 649511504 654749500 678182640 700788728 706440250 742581750 785699400 792087200 801206625 805341885 811889380 827052000 847728300 854620400 859031344 875985910 974267256 982124250 990109000 1014861725 1025544480 1047599200 1051183092 1059660375 1068275500 1073789180 1130304400 1188130800 1217834070 1281930600 1288547016 1299023008 1309499000 1313978865 1342236475 1356365280 1401577456 1412880500 1485163500 1571398800 1602413250 1610683770 1623778760 1664373229 1695456600 1709240800 1718062688 1751971820 1948534512 1964248500 1980218000 2029723450 2102366184 2119320750 2136551000 2147578360 2189964775 2260608800 2376261600 2435668140 2563861200 2577094032 2618998000 2627957730 2684472950 2803154912 2825761000 2970327000 3044585175 3142797600 3204826500 3221367540 3247557520 3328746458 3390913200 3503943640 3897069024 3928497000 3960436000 4026709425 4059446900 4204732368 4238641500 4273102000 4295156720 4379929550 4871336280 4993119687 5074308625 5127722400 5154188064 5237996000 5255915460 5368945900 5651522000 5940654000 6089170350 6409653000 6442735080 6495115040 6569894325 6657492916 6711182375 6781826400 7007887280 7856994000 8053418850 8118893800 8321866145 8409464736 8477283000 8546204000 8590313440 8759859100 9742672560 9986239374 10148617250 10511830920 10737891800 10949823875 11303044000 11881308000 12178340700 12819306000 12885470160 13139788650 13314985832 13422364750 14015774560 15222925875 15713988000 16106837700 16237787600 16643732290 16954566000 17519718200 19485345120 19972478748 20133547125 20297234500 21023661840 21475783600 21899647750 24356681400 24965598435 25638612000 25770940320 26279577300 26629971664 26844729500 30445851750 32213675400 32475575200 32849471625 33287464580 33909132000 35039436400 39944957496 40267094250 40594469000 41609330725 42047323680 42951567200 43799295500 48713362800 49931196870 52559154600 53259943328 53689459000 60891703500 64427350800 65698943250 66574929160 70078872800 79889914992 80534188500 81188938000 83218661450 87598591000 97426725600 99862393740 105118309200 107378918000 121783407000 124827992175 128854701600 131397886500 133149858320 159779829984 161068377000 162377876000 166437322900 175197182000 199724787480 208046653625 210236618400 214757836000 243566814000 249655984350 262795773000 266299716640 322136754000 332874645800 350394364000 399449574960 416093307250 487133628000 499311968700 525591546000 624139960875 644273508000 665749291600 798899149920 832186614500 998623937400 1051183092000 1248279921750 1331498583200 1664373229000 1997247874800 2496559843500 3328746458000 3994495749600 4993119687000 6657492916000 9986239374000 19972478748000
• Sum of all divisors σ(n): 72872622950400
• Sum of proper divisors (its aliquot sum) s(n): 52900144202400
• 19972478748000 is an abundant number, because the sum of its proper divisors (52900144202400) is greater than itself. Its abundance is 32927665454400

Bases of 19972478748000

• Binary: 100100010101000110100100000000100010101100000₂
• Hexadecimal: 0x122A34804560
• Base-36: 72V8A67HC

Squares and roots of 19972478748000

• 19972478748000 squared (19972478748000²) is 398899907339311647504000000
• 19972478748000 cubed (19972478748000³) is 7967019921913571104722507244992000000000
• The square root of 19972478748000 is 4469057.9262300909
• The cube root of 19972478748000 is 27131.7197553905

Scales and comparisons

• 19,972,478,748,000 seconds is equal to 635,063 years, 2 weeks, 2 days, 11 hours, 20 minutes.
• To count from 1 to 19,972,478,748,000 would take you about one million, five hundred eighty-seven thousand, six hundred fifty-seven 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 19972478748000 cubic inches would be around 2261 feet tall.

Recreational maths with 19972478748000

• 19972478748000 backwards is 00084787427991
• The number of decimal digits it has is: 14
• The sum of 19972478748000's digits is 66
• More coming soon!