1997428118400
1,997,428,118,400 is an even composite number composed of seven prime numbers multiplied together.
1997428118400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 1997428118400:
27 × 35 × 52 × 112 × 13 × 23 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 23 × 71)See below for interesting mathematical facts about the number 1997428118400 from the Numbermatics database.
Names of 1997428118400
- Cardinal: 1997428118400 can be written as One trillion, nine hundred ninety-seven billion, four hundred twenty-eight million, one hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.9974281184 × 1012
Factors of 1997428118400
Divisors of 1997428118400
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 23 24 25 26 27 30 32 33 36 39 40 44 45 46 48 50 52 54 55 60 64 65 66 69 71 72 75 78 80 81 88 90 92 96 99 100 104 108 110 115 117 120 121 128 130 132 135 138 142 143 144 150 156 160 162 165 176 180 184 192 195 198 200 207 208 213 216 220 225 230 234 240 242 243 253 260 264 270 275 276 284 286 288 297 299 300 312 320 324 325 330 345 351 352 355 360 363 368 384 390 396 400 405 414 416 426 429 432 440 450 460 468 480 484 486 495 506 520 528 540 550 552 568 572 575 576 585 594 598 600 605 621 624 639 640 648 650 660 675 690 702 704 710 715 720 726 736 759 780 781 792 800 810 825 828 832 852 858 864 880 891 897 900 920 923 936 960 968 972 975 990 1012 1035 1040 1053 1056 1065 1080 1089 1100 1104 1136 1144 1150 1152 1170 1188 1196 1200 1210 1215 1242 1248 1265 1278 1287 1296 1300 1320 1350 1380 1404 1408 1420 1430 1440 1452 1472 1485 1495 1518 1560 1562 1573 1584 1600 1620 1633 1650 1656 1664 1704 1716 1725 1728 1755 1760 1775 1782 1794 1800 1815 1840 1846 1863 1872 1917 1920 1936 1944 1950 1980 2024 2025 2070 2080 2106 2112 2130 2145 2160 2178 2200 2208 2272 2277 2288 2300 2340 2343 2376 2392 2400 2420 2430 2475 2484 2496 2530 2556 2574 2592 2600 2640 2673 2691 2700 2760 2769 2783 2808 2840 2860 2880 2904 2925 2944 2970 2990 3025 3036 3105 3120 3124 3146 3159 3168 3195 3200 3240 3266 3267 3289 3300 3312 3408 3432 3450 3456 3510 3520 3550 3564 3575 3588 3600 3630 3680 3692 3726 3744 3795 3834 3861 3872 3888 3900 3905 3960 4048 4050 4140 4160 4212 4224 4260 4290 4320 4356 4400 4416 4455 4485 4544 4554 4576 4600 4615 4680 4686 4719 4752 4784 4800 4840 4860 4899 4950 4968 4992 5060 5112 5148 5175 5184 5200 5265 5280 5325 5346 5382 5400 5445 5520 5538 5566 5589 5616 5680 5720 5751 5760 5808 5850 5940 5980 6050 6072 6075 6210 6240 6248 6292 6318 6325 6336 6390 6435 6480 6532 6534 6578 6600 6624 6816 6831 6864 6900 7020 7029 7040 7100 7128 7150 7176 7200 7260 7360 7384 7425 7452 7475 7488 7590 7668 7722 7744 7776 7800 7810 7865 7920 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175443840 175829940 177833700 178692800 179431200 180338400 180926460 183418560 184947048 185565600 186240384 186815200 187551936 189150390 189689280 192060396 192653175 192988224 194000400 195366600 196732800 197374320 201029400 201760416 202435200 203798400 203860800 205496720 206345880 208065429 208391040 208761300 210167100 211636800 213127200 213400440 214431360 216406080 217111752 218250450 219304800 219787425 220102272 222678720 224178240 226158075 226980468 227627136 229273200 231183810 232502400 232800480 234439920 237111600 239241600 240075495 240451200 241235280 244632960 246596064 246717900 247420800 252200520 253964160 255752640 256080528 256870900 257932350 258667200 260488800 263165760 266750550 267214464 268039200 269013888 270507600 271389690 275127840 277420572 278348400 279360576 280222800 281327904 283725585 284169600 284533920 289482336 291000600 292406400 293049900 301544100 302640624 303652800 305697600 305791200 308245080 310400640 312586560 315250650 315798912 316148800 317455200 319690800 320100660 321647040 328794752 328957200 330153408 334018080 336267360 341440704 343909800 346775715 347318400 349200720 351659880 355667400 357385600 358862400 360676800 361852920 366837120 369894096 371131200 373630400 375103872 378300780 379378560 384120792 385306350 385976448 388000800 390733200 394748640 400125825 402058800 403520832 407721600 410993440 412691760 416130858 417522600 420334200 423273600 426254400 426800880 432812160 434223504 436500900 438609600 439574850 445357440 448356480 452316150 453960936 458546400 462367620 465600960 468879840 472875975 474223200 480150990 482470560 493192128 493435800 504401040 511505280 512161056 513741800 515864700 517334400 520977600 526331520 533501100 536078400 541015200 542779380 550255680 554841144 556696800 558721152 560445600 562655808 567451170 569067840 577959525 578964672 582001200 586099800 603088200 605281248 607305600 611395200 611582400 616490160 624196287 625173120 630501300 632297600 634910400 639381600 640201320 643294080 657914400 660306816 668036160 672534720 678474225 682881408 687819600 693551430 698401440 703319760 711334800 717724800 721353600 723705840 739788192 742262400 747260800 756601560 768241584 770612700 776001600 781466400 789497280 800251650 804117600 807041664 821986880 825383520 832261716 835045200 840668400 852508800 853601760 868447008 873001800 877219200 879149700 904632300 907921872 917092800 924735240 931201920 937759680 945751950 948446400 960301980 964941120 986384256 986871600 1008802080 1024322112 1027483600 1031729400 1040327145 1041955200 1067002200 1072156800 1082030400 1085558760 1100511360 1109682288 1113393600 1120891200 1125311616 1134902340 1138135680 1155919050 1157929344 1164002400 1172199600 1200377475 1206176400 1210562496 1223164800 1232980320 1248392574 1261002600 1269820800 1278763200 1280402640 1315828800 1336072320 1345069440 1356948450 1375639200 1387102860 1396802880 1406639520 1418627925 1422669600 1447411680 1479576384 1513203120 1536483168 1541225400 1552003200 1562932800 1578994560 1600503300 1608235200 1643973760 1650767040 1664523432 1670090400 1681336800 1707203520 1733878575 1736894016 1746003600 1758299400 1809264600 1815843744 1834185600 1849470480 1875519360 1891503900 1896892800 1920603960 1929882240 1973743200 2017604160 2048644224 2054967200 2063458800 2080654290 2134004400 2164060800 2171117520 2219364576 2226787200 2241782400 2269804680 2311838100 2328004800 2344399200 2400754950 2412352800 2421124992 2465960640 2496785148 2522005200 2557526400 2560805280 2631657600 2713896900 2751278400 2774205720 2793605760 2813279040 2837255850 2845339200 2894823360 2959152768 3026406240 3072966336 3082450800 3120981435 3125865600 3201006600 3216470400 3301534080 3329046864 3340180800 3362673600 3414407040 3467757150 3473788032 3492007200 3516598800 3618529200 3631687488 3698940960 3783007800 3841207920 3947486400 4035208320 4109934400 4126917600 4161308580 4268008800 4342235040 4438729152 4539609360 4623676200 4656009600 4688798400 4801509900 4824705600 4931921280 4993570296 5044010400 5121610560 5201635725 5427793800 5502556800 5548411440 5626558080 5674511700 5690678400 5789646720 6052812480 6145932672 6164901600 6241962870 6402013200 6658093728 6680361600 6725347200 6935514300 6984014400 7033197600 7237058400 7263374976 7397881920 7566015600 7682415840 7894972800 8219868800 8253835200 8322617160 8536017600 8684470080 8877458304 9079218720 9247352400 9377596800 9603019800 9649411200 9987140592 10088020800 10243221120 10403271450 10855587600 11096822880 11349023400 12105624960 12329803200 12483925740 12804026400 13316187456 13871028600 13968028800 14066395200 14474116800 14795763840 15132031200 15364831680 15604907175 16507670400 16645234320 17072035200 17368940160 18158437440 18494704800 19206039600 19974281184 20176041600 20806542900 21711175200 22193645760 22698046800 24659606400 24967851480 25608052800 26632374912 27742057200 28132790400 28948233600 30264062400 30729663360 31209814350 33290468640 36316874880 36989409600 38412079200 39948562368 41613085800 43422350400 44387291520 45396093600 49935702960 51216105600 55484114400 60528124800 62419628700 66580937280 73978819200 76824158400 79897124736 83226171600 86844700800 90792187200 99871405920 110968228800 124839257400 133161874560 153648316800 166452343200 181584374400 199742811840 221936457600 249678514800 332904686400 399485623680 499357029600 665809372800 998714059200 1997428118400
- Sum of all divisors σ(n): 9258202437120
- Sum of proper divisors (its aliquot sum) s(n): 7260774318720
- 1997428118400 is an abundant number, because the sum of its proper divisors (7260774318720) is greater than itself. Its abundance is 5263346200320
Bases of 1997428118400
- Binary: 111010001000011111111111001010011100000002
- Hexadecimal: 0x1D10FFE5380
- Base-36: PHLT4O00
Squares and roots of 1997428118400
- 1997428118400 squared (19974281184002) is 3989719088174964418560000
- 1997428118400 cubed (19974281184003) is 7969177091237882868551250837504000000
-
The
square root of 1997428118400 is 1413303.9723994269 -
The
cube root of 1997428118400 is 12593.8075693945
Scales and comparisons
How big is 1997428118400?- 1,997,428,118,400 seconds is equal to 63,512 years, 1 week, 6 days.
-
To count from 1 to 1,997,428,118,400 would take you about one hundred fifty-eight thousand, seven 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 1997428118400 cubic inches would be around 1049.5 feet tall.
Recreational maths with 1997428118400
- 1997428118400 backwards is 0048118247991
- 1997428118400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1997428118400's digits is 54
- More coming soon!
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MLA style:
"Number 1997428118400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 1997428118400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/1997428118400/
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Numbermatics. 2024. "Number 1997428118400 - Facts about the integer". https://numbermatics.com/n/1997428118400/
The information we have on file for 1997428118400 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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