997709488128000
997,709,488,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 997709488128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2040 divisors.
997709488128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and forty divisors.
Prime factorization of 997709488128000:
216 × 34 × 53 × 61 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 61 × 157 × 157)See below for interesting mathematical facts about the number 997709488128000 from the Numbermatics database.
Names of 997709488128000
- Cardinal: 997709488128000 can be written as Nine hundred ninety-seven trillion, seven hundred nine billion, four hundred eighty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.97709488128 × 1014
Factors of 997709488128000
Divisors of 997709488128000
- Number of divisors d(n): 2040
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 81 90 96 100 108 120 122 125 128 135 144 150 157 160 162 180 183 192 200 216 225 240 244 250 256 270 288 300 305 314 320 324 360 366 375 384 400 405 432 450 471 480 488 500 512 540 549 576 600 610 628 640 648 675 720 732 750 768 785 800 810 864 900 915 942 960 976 1000 1024 1080 1098 1125 1152 1200 1220 1256 1280 1296 1350 1413 1440 1464 1500 1525 1536 1570 1600 1620 1647 1728 1800 1830 1884 1920 1952 2000 2025 2048 2160 2196 2250 2304 2355 2400 2440 2512 2560 2592 2700 2745 2826 2880 2928 3000 3050 3072 3140 3200 3240 3294 3375 3456 3600 3660 3768 3840 3904 3925 4000 4050 4096 4239 4320 4392 4500 4575 4608 4710 4800 4880 4941 5024 5120 5184 5400 5490 5652 5760 5856 6000 6100 6144 6280 6400 6480 6588 6750 6912 7065 7200 7320 7536 7625 7680 7808 7850 8000 8100 8192 8235 8478 8640 8784 9000 9150 9216 9420 9577 9600 9760 9882 10048 10125 10240 10368 10800 10980 11304 11520 11712 11775 12000 12200 12288 12560 12717 12800 12960 13176 13500 13725 13824 14130 14400 14640 15072 15250 15360 15616 15700 16000 16200 16384 16470 16956 17280 17568 18000 18300 18432 18840 19154 19200 19520 19625 19764 20096 20250 20480 20736 21195 21600 21960 22608 22875 23040 23424 23550 24000 24400 24576 24649 24705 25120 25434 25600 25920 26352 27000 27450 27648 28260 28731 28800 29280 30144 30500 30720 31232 31400 32000 32400 32768 32940 33912 34560 35136 35325 36000 36600 36864 37680 38308 38400 39040 39250 39528 40192 40500 40960 41175 41472 42390 43200 43920 45216 45750 46080 46848 47100 47885 48000 48800 49152 49298 49410 50240 50868 51200 51840 52704 54000 54900 55296 56520 57462 57600 58560 58875 60288 61000 61440 62464 62800 63585 64000 64800 65536 65880 67824 68625 69120 70272 70650 72000 73200 73728 73947 75360 76616 76800 78080 78500 79056 80384 81000 81920 82350 82944 84780 86193 86400 87840 90432 91500 92160 93696 94200 95770 96000 97600 98304 98596 98820 100480 101736 102400 103680 105408 105975 108000 109800 110592 113040 114924 115200 117120 117750 120576 122000 122880 123245 123525 124928 125600 127170 128000 129600 131760 135648 137250 138240 140544 141300 143655 144000 146400 147456 147894 150720 153232 153600 156160 157000 158112 160768 162000 163840 164700 165888 169560 172386 172800 175680 176625 180864 183000 184320 187392 188400 191540 192000 195200 196608 197192 197640 200960 203472 204800 205875 207360 210816 211950 216000 219600 221184 221841 226080 229848 230400 234240 235500 239425 241152 244000 245760 246490 247050 249856 251200 254340 256000 258579 259200 263520 271296 274500 276480 281088 282600 287310 288000 292800 294912 295788 301440 306464 307200 312320 314000 316224 317925 321536 324000 327680 329400 331776 339120 344772 345600 351360 353250 361728 366000 368640 369735 374784 376800 383080 384000 390400 394384 395280 401920 406944 409600 411750 414720 421632 423900 430965 432000 439200 442368 443682 452160 459696 460800 468480 471000 478850 482304 488000 491520 492980 494100 499712 502400 508680 512000 517158 518400 527040 529875 542592 549000 552960 562176 565200 574620 576000 585600 589824 591576 602880 612928 614400 616225 617625 624640 628000 632448 635850 643072 648000 658800 663552 665523 678240 689544 691200 702720 706500 718275 723456 732000 737280 739470 749568 753600 766160 768000 775737 780800 788768 790560 803840 813888 819200 823500 829440 843264 847800 861930 864000 878400 884736 887364 904320 919392 921600 936960 942000 957700 964608 976000 983040 985960 988200 999424 1004800 1017360 1024000 1034316 1036800 1054080 1059750 1085184 1098000 1105920 1109205 1124352 1130400 1149240 1152000 1171200 1183152 1197125 1205760 1225856 1228800 1232450 1235250 1249280 1256000 1264896 1271700 1286144 1292895 1296000 1317600 1327104 1331046 1356480 1379088 1382400 1405440 1413000 1436550 1446912 1464000 1474560 1478940 1499136 1503589 1507200 1532320 1536000 1551474 1561600 1577536 1581120 1589625 1607680 1627776 1638400 1647000 1658880 1686528 1695600 1723860 1728000 1756800 1769472 1774728 1808640 1838784 1843200 1848675 1873920 1884000 1915400 1929216 1952000 1971920 1976400 1996569 1998848 2009600 2034720 2048000 2068632 2073600 2108160 2119500 2154825 2170368 2196000 2211840 2218410 2248704 2260800 2298480 2304000 2342400 2366304 2394250 2411520 2451712 2457600 2464900 2470500 2498560 2512000 2529792 2543400 2572288 2585790 2592000 2635200 2654208 2662092 2712960 2758176 2764800 2810880 2826000 2873100 2893824 2928000 2949120 2957880 2998272 3007178 3014400 3064640 3072000 3081125 3102948 3123200 3155072 3162240 3179250 3215360 3255552 3294000 3317760 3327615 3373056 3391200 3447720 3456000 3513600 3549456 3591375 3617280 3677568 3686400 3697350 3747840 3768000 3830800 3858432 3878685 3904000 3943840 3952800 3993138 3997696 4019200 4069440 4096000 4137264 4147200 4216320 4239000 4309650 4340736 4392000 4423680 4436820 4497408 4510767 4521600 4596960 4608000 4684800 4732608 4788500 4823040 4903424 4915200 4929800 4941000 4997120 5024000 5059584 5086800 5144576 5171580 5184000 5270400 5308416 5324184 5425920 5516352 5529600 5546025 5621760 5652000 5746200 5787648 5856000 5915760 5996544 6014356 6028800 6129280 6144000 6162250 6205896 6246400 6310144 6324480 6358500 6430720 6464475 6511104 6588000 6635520 6655230 6746112 6782400 6895440 6912000 7027200 7098912 7182750 7234560 7355136 7372800 7394700 7495680 7517945 7536000 7661600 7716864 7757370 7808000 7887680 7905600 7986276 8038400 8138880 8192000 8274528 8294400 8432640 8478000 8619300 8681472 8784000 8847360 8873640 8994816 9021534 9043200 9193920 9216000 9243375 9369600 9465216 9577000 9646080 9806848 9859600 9882000 9982845 9994240 10048000 10119168 10173600 10289152 10343160 10368000 10540800 10648368 10774125 10851840 11032704 11059200 11092050 11243520 11304000 11492400 11575296 11712000 11831520 11993088 12028712 12057600 12258560 12288000 12324500 12411792 12492800 12620288 12648960 12717000 12861440 12928950 13022208 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52088832000 52956979200 54129204000 54519644160 55428304896 56791296000 57737817600 58841088000 60577382400 60895354500 61587005440 62356843008 63548375040 63890208000 64955044800 65423572992 66196224000 68149555200 69285381120 70609305600 72172272000 72692858880 73904406528 75721728000 76983756800 77946053760 78454784000 79435468800 81193806000 81779466240 83142457344 84731166720 85186944000 86606726400 88261632000 90866073600 92380508160 96229696000 97432567200 98539208704 99294336000 100962304000 102224332800 103928071680 104177664000 105913958400 108258408000 109039288320 110856609792 113582592000 115475635200 117682176000 121154764800 121790709000 123174010880 124713686016 127096750080 127780416000 129910089600 130847145984 132392448000 136299110400 138570762240 141218611200 144344544000 147808813056 151443456000 153967513600 155892107520 158870937600 162387612000 163558932480 166284914688 170373888000 173213452800 176523264000 181732147200 184761016320 192459392000 194865134400 198588672000 201924608000 204448665600 207856143360 211827916800 216516816000 218078576640 221713219584 227165184000 230951270400 235364352000 243581418000 246348021760 249427372032 254193500160 255560832000 259820179200 264784896000 272598220800 277141524480 288689088000 295617626112 302886912000 307935027200 311784215040 317741875200 324775224000 327117864960 332569829376 340747776000 346426905600 353046528000 363464294400 369522032640 384918784000 389730268800 397177344000 408897331200 415712286720 423655833600 433033632000 443426439168 454330368000 461902540800 487162836000 492696043520 498854744064 511121664000 519640358400 529569792000 545196441600 554283048960 577378176000 605773824000 615870054400 623568430080 635483750400 649550448000 654235729920 665139658752 681495552000 692853811200 706093056000 739044065280 769837568000 779460537600 794354688000 817794662400 831424573440 866067264000 886852878336 908660736000 923805081600 974325672000 997709488128 1022243328000 1039280716800 1059139584000 1090392883200 1108566097920 1154756352000 1231740108800 1247136860160 1270967500800 1299100896000 1330279317504 1362991104000 1385707622400 1478088130560 1539675136000 1558921075200 1588709376000 1635589324800 1662849146880 1732134528000 1817321472000 1847610163200 1948651344000 1995418976256 2044486656000 2078561433600 2118279168000 2217132195840 2309512704000 2463480217600 2494273720320 2598201792000 2660558635008 2725982208000 2771415244800 3079350272000 3117842150400 3177418752000 3271178649600 3325698293760 3464269056000 3695220326400 3897302688000 3990837952512 4088973312000 4157122867200 4434264391680 4619025408000 4988547440640 5196403584000 5451964416000 5542830489600 6158700544000 6235684300800 6354837504000 6651396587520 6928538112000 7390440652800 7794605376000 7981675905024 8177946624000 8314245734400 9238050816000 9977094881280 10392807168000 11085660979200 12317401088000 12471368601600 13302793175040 13857076224000 15589210752000 16355893248000 16628491468800 18476101632000 19954189762560 20785614336000 22171321958400 24942737203200 27714152448000 31178421504000 33256982937600 36952203264000 39908379525120 41571228672000 49885474406400 55428304896000 62356843008000 66513965875200 83142457344000 99770948812800 110856609792000 124713686016000 166284914688000 199541897625600 249427372032000 332569829376000 498854744064000 997709488128000
- Sum of all divisors σ(n): 3805244068718664
- Sum of proper divisors (its aliquot sum) s(n): 2807534580590664
- 997709488128000 is an abundant number, because the sum of its proper divisors (2807534580590664) is greater than itself. Its abundance is 1809825092462664
Bases of 997709488128000
- Binary: 111000101101101001010101111010000100000000000000002
- Hexadecimal: 0x38B6957A10000
- Base-36: 9TNPET4W00
Squares and roots of 997709488128000
- 997709488128000 squared (9977094881280002) is 995424222700635772944384000000
- 997709488128000 cubed (9977094881280003) is 993144191700863594804506992052273152000000000
-
The
square root of 997709488128000 is 31586539.6668897557 -
The
cube root of 997709488128000 is 99923.5912361447
Scales and comparisons
How big is 997709488128000?- 997,709,488,128,000 seconds is equal to 31,724,075 years, 31 weeks, 3 days.
-
To count from 1 to 997,709,488,128,000 would take you about seventy-nine million, three hundred ten thousand, one hundred eighty-nine 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 997709488128000 cubic inches would be around 8327 feet tall.
Recreational maths with 997709488128000
- 997709488128000 backwards is 000821884907799
- 997709488128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 997709488128000's digits is 72
- More coming soon!
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"Number 997709488128000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 997709488128000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/997709488128000/
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Numbermatics. 2024. "Number 997709488128000 - Facts about the integer". https://numbermatics.com/n/997709488128000/
The information we have on file for 997709488128000 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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