997680969000
997,680,969,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 997680969000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
997680969000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 997680969000:
23 × 37 × 53 × 43 × 1032
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 43 × 103 × 103)See below for interesting mathematical facts about the number 997680969000 from the Numbermatics database.
Names of 997680969000
- Cardinal: 997680969000 can be written as Nine hundred ninety-seven billion, six hundred eighty million, nine hundred sixty-nine thousand.
Scientific notation
- Scientific notation: 9.97680969 × 1011
Factors of 997680969000
Divisors of 997680969000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 43 45 50 54 60 72 75 81 86 90 100 103 108 120 125 129 135 150 162 172 180 200 206 215 216 225 243 250 258 270 300 309 324 344 360 375 387 405 412 430 450 486 500 515 516 540 600 618 645 648 675 729 750 774 810 824 860 900 927 972 1000 1030 1032 1075 1080 1125 1161 1215 1236 1290 1350 1458 1500 1545 1548 1620 1720 1800 1854 1935 1944 2025 2060 2150 2187 2250 2322 2430 2472 2575 2580 2700 2781 2916 3000 3090 3096 3225 3240 3375 3483 3645 3708 3870 4050 4120 4300 4374 4429 4500 4635 4644 4860 5150 5160 5375 5400 5562 5805 5832 6075 6180 6450 6750 6966 7290 7416 7725 7740 8100 8343 8600 8748 8858 9000 9270 9288 9675 9720 10125 10300 10449 10609 10750 10935 11124 11610 12150 12360 12875 12900 13287 13500 13905 13932 14580 15450 15480 16125 16200 16686 17415 17496 17716 18225 18540 19350 20250 20600 20898 21218 21500 21870 22145 22248 23175 23220 24300 25029 25750 25800 26574 27000 27810 27864 29025 29160 30375 30900 31347 31827 32250 33372 34830 35432 36450 37080 38625 38700 39861 40500 41715 41796 42436 43000 43740 44290 46350 46440 48375 48600 50058 51500 52245 53045 53148 54675 55620 58050 60750 61800 62694 63654 64500 66435 66744 69525 69660 72900 75087 77250 77400 79722 81000 83430 83592 84872 87075 87480 88580 91125 92700 94041 95481 96750 100116 103000 104490 106090 106296 109350 110725 111240 115875 116100 119583 121500 125145 125388 127308 129000 132870 139050 139320 145125 145800 150174 154500 156735 159135 159444 166860 174150 177160 182250 185400 188082 190962 193500 199305 200232 208575 208980 212180 218700 221450 225261 231750 232200 239166 243000 250290 250776 254616 261225 265225 265740 273375 278100 286443 290250 300348 309000 313470 318270 318888 332175 333720 347625 348300 358749 364500 375435 376164 381924 387000 398610 417150 417960 424360 435375 437400 442900 450522 456187 463500 470205 477405 478332 500580 522450 530450 531480 546750 553625 556200 572886 580500 597915 600696 625725 626940 636540 664350 695250 696600 717498 729000 750870 752328 763848 783675 795675 797220 834300 859329 870750 885800 901044 912374 927000 940410 954810 956664 996525 1001160 1042875 1044900 1060900 1076247 1093500 1107250 1126305 1145772 1161000 1195830 1251450 1253880 1273080 1306125 1326125 1328700 1368561 1390500 1432215 1434996 1501740 1567350 1591350 1594440 1660875 1668600 1718658 1741500 1793745 1802088 1824748 1877175 1880820 1909620 1993050 2085750 2089800 2121800 2152494 2187000 2214500 2252610 2280935 2291544 2351025 2387025 2391660 2502900 2577987 2612250 2652250 2657400 2737122 2781000 2864430 2869992 2989575 3003480 3128625 3134700 3182700 3228741 3321750 3437316 3483000 3587490 3649496 3754350 3761640 3819240 3918375 3978375 3986100 4105683 4171500 4296645 4304988 4429000 4505220 4561870 4702050 4774050 4783320 4982625 5005800 5155974 5224500 5304500 5381235 5474244 5631525 5728860 5979150 6257250 6269400 6365400 6457482 6643500 6842805 6874632 7161075 7174980 7508700 7733961 7836750 7956750 7972200 8211366 8343000 8593290 8609976 8968725 9010440 9123740 9385875 9404100 9548100 9686223 9965250 10311948 10449000 10609000 10762470 10948488 11263050 11404675 11457720 11755125 11935125 11958300 12317049 12514500 12889935 12914964 13287000 13685610 14322150 14349960 14947875 15017400 15467922 15673500 15913500 16143705 16422732 17186580 17937450 18247480 18771750 18808200 19096200 19372446 19930500 20528415 20623896 21483225 21524940 22526100 22809350 23201883 23510250 23870250 23916600 24634098 25029000 25779870 25829928 26906175 27371220 28157625 28644300 29895750 30935844 31347000 31827000 32287410 32845464 34214025 34373160 35805375 35874900 36951147 37543500 38669805 38744892 39861000 41056830 42966450 43049880 44843625 45052200 45618700 46403766 47020500 47740500 48431115 49268196 51559740 53812350 54742440 56315250 57023375 57288600 59791500 61585245 61871688 64449675 64574820 68428050 71610750 71749800 73902294 75087000 77339610 77489784 80718525 82113660 85932900 89687250 91237400 92807532 94041000 95481000 96862230 98536392 102642075 103119480 107416125 107624700 110853441 112630500 114046750 116009415 119583000 123170490 128899350 129149640 134530875 136856100 143221500 147804588 154679220 161437050 164227320 171070125 171865800 179374500 184755735 185615064 193349025 193724460 205284150 214832250 215249400 221706882 225261000 228093500 232018830 242155575 246340980 257798700 269061750 273712200 286443000 295609176 307926225 309358440 322248375 322874100 332560323 342140250 358749000 369511470 386698050 387448920 403592625 410568300 429664500 443413764 456187000 464037660 484311150 492681960 513210375 515597400 538123500 554267205 580047075 615852450 644496750 645748200 665120646 684280500 739022940 773396100 807185250 821136600 859329000 886827528 923778675 928075320 966745125 968622300 997680969 1026420750 1076247000 1108534410 1160094150 1210777875 1231704900 1288993500 1330241292 1368561000 1478045880 1539631125 1546792200 1614370500 1662801615 1847557350 1933490250 1937244600 1995361938 2052841500 2217068820 2320188300 2421555750 2463409800 2577987000 2660482584 2771336025 2900235375 3079262250 3228741000 3325603230 3695114700 3866980500 3990723876 4105683000 4434137640 4618893375 4640376600 4843111500 4988404845 5542672050 5800470750 6158524500 6651206460 7390229400 7733961000 7981447752 8314008075 9237786750 9686223000 9976809690 11085344100 11600941500 12317049000 13302412920 13856680125 16628016150 18475573500 19953619380 22170688200 23201883000 24942024225 27713360250 33256032300 36951147000 39907238760 41570040375 49884048450 55426720500 66512064600 83140080750 99768096900 110853441000 124710121125 166280161500 199536193800 249420242250 332560323000 498840484500 997680969000
- Sum of all divisors σ(n): 3617874374400
- Sum of proper divisors (its aliquot sum) s(n): 2620193405400
- 997680969000 is an abundant number, because the sum of its proper divisors (2620193405400) is greater than itself. Its abundance is 1622512436400
Bases of 997680969000
- Binary: 11101000010010100110101101110101001010002
- Hexadecimal: 0xE84A6B7528
- Base-36: CQBTHMI0
Squares and roots of 997680969000
- 997680969000 squared (9976809690002) is 995367315904778961000000
- 997680969000 cubed (9976809690003) is 993059028242808985541293209000000000
-
The
square root of 997680969000 is 998839.8114813005 -
The
cube root of 997680969000 is 9992.2639135065
Scales and comparisons
How big is 997680969000?- 997,680,969,000 seconds is equal to 31,723 years, 8 weeks, 5 days, 10 hours, 30 minutes.
-
To count from 1 to 997,680,969,000 would take you about sixty-three thousand, four hundred forty-six 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 997680969000 cubic inches would be around 832.7 feet tall.
Recreational maths with 997680969000
- 997680969000 backwards is 000969086799
- The number of decimal digits it has is: 12
- The sum of 997680969000's digits is 63
- More coming soon!
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