972942997344000

Names of 972942997344000

• Cardinal: 972942997344000 can be written as Nine hundred seventy-two trillion, nine hundred forty-two billion, nine hundred ninety-seven million, three hundred forty-four thousand.

Scientific notation

• Scientific notation: 9.72942997344 × 10¹⁴

Factors of 972942997344000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 840

Divisors of 972942997344000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 100 114 120 125 128 150 152 160 190 192 200 228 240 250 256 285 300 304 320 375 380 384 400 456 475 480 500 570 600 608 640 750 760 768 800 811 912 950 960 1000 1140 1200 1216 1280 1425 1500 1520 1600 1622 1824 1900 1920 2000 2280 2375 2400 2432 2433 2850 3000 3040 3200 3244 3648 3800 3840 4000 4055 4560 4750 4800 4864 4866 5700 6000 6080 6400 6488 7125 7296 7600 8000 8110 9120 9500 9600 9732 11400 12000 12160 12165 12976 14250 14592 15200 15409 16000 16220 18240 19000 19200 19464 20275 22800 24000 24320 24330 25952 28500 30400 30818 32000 32440 36480 38000 38928 40550 45600 46227 48000 48660 51904 57000 60800 60825 61636 64880 72960 76000 77045 77856 81100 91200 92454 96000 97320 101375 103808 114000 121600 121650 123272 129760 152000 154090 155712 162200 182400 184908 194640 202750 207616 228000 231135 243300 246544 259520 304000 304125 308180 311424 324400 364800 369816 385225 389280 405500 456000 462270 486600 493088 519040 608000 608250 616360 622848 648800 657721 739632 770450 778560 811000 912000 924540 973200 986176 1038080 1155675 1216500 1232720 1297600 1315442 1479264 1540900 1557120 1622000 1824000 1849080 1926125 1946400 1972352 1973163 2311350 2433000 2465440 2595200 2630884 2958528 3081800 3114240 3244000 3288605 3698160 3852250 3892800 3944704 3946326 4622700 4866000 4930880 5190400 5261768 5778375 5917056 6163600 6488000 6577210 7396320 7704500 7785600 7892652 9245400 9732000 9861760 9865815 10523536 11556750 11834112 12327200 12496699 12976000 13154420 14792640 15409000 15571200 15785304 16443025 18490800 19464000 19723520 19731630 21047072 23113500 24654400 24993398 25952000 26308840 29585280 30818000 31570608 32886050 36981600 37490097 38928000 39463260 42094144 46227000 49308800 49329075 49986796 52617680 59170560 61636000 62483495 63141216 65772100 73963200 74980194 77856000 78926520 82215125 84188288 92454000 98617600 98658150 99973592 105235360 123272000 124966990 126282432 131544200 147926400 149960388 157853040 164430250 168376576 184908000 187450485 197316300 199947184 210470720 246544000 246645375 249933980 252564864 263088400 295852800 299920776 312417475 315706080 328860500 369816000 374900970 394632600 399894368 420941440 493088000 493290750 499867960 505129728 526176800 533411731 599841552 624834950 631412160 657721000 739632000 749801940 789265200 799788736 841882880 937252425 986581500 999735920 1052353600 1066823462 1199683104 1249669900 1262824320 1315442000 1479264000 1499603880 1562087375 1578530400 1599577472 1600235193 1874504850 1973163000 1999471840 2104707200 2133646924 2399366208 2499339800 2525648640 2630884000 2667058655 2999207760 3124174750 3157060800 3199154944 3200470386 3749009700 3946326000 3998943680 4209414400 4267293848 4686262125 4798732416 4998679600 5261768000 5334117310 5998415520 6248349500 6314121600 6400940772 7498019400 7892652000 7997887360 8001175965 8534587696 9372524250 9597464832 9997359200 10134822889 10523536000 10668234620 11996831040 12496699000 12628243200 12801881544 13335293275 14996038800 15785304000 15995774720 16002351930 17069175392 18745048500 19994718400 20269645778 21047072000 21336469240 23993662080 24993398000 25603763088 26670586550 29992077600 30404468667 31570608000 32004703860 34138350784 37490097000 39989436800 40005879825 40539291556 42672938480 47987324160 49986796000 50674114445 51207526176 53341173100 59984155200 60808937334 63141216000 64009407720 66676466375 68276701568 74980194000 79978873600 80011759650 81078583112 85345876960 99973592000 101348228890 102415052352 106682346200 119968310400 121617874668 128018815440 133352932750 136553403136 149960388000 152022343335 160023519300 162157166224 170691753920 199947184000 200029399125 202696457780 204830104704 213364692400 239936620800 243235749336 253370572225 256037630880 266705865500 299920776000 304044686670 320047038600 324314332448 341383507840 399894368000 400058798250 405392915560 409660209408 426729384800 486471498672 506741144450 512075261760 533411731000 599841552000 608089373340 640094077200 648628664896 682767015680 760111716675 800117596500 810785831120 853458769600 972942997344 1013482288900 1024150523520 1066823462000 1199683104000 1216178746680 1266852861125 1280188154400 1297257329792 1520223433350 1600235193000 1621571662240 1706917539200 1945885994688 2026964577800 2048301047040 2133646924000 2432357493360 2533705722250 2560376308800 2594514659584 3040446866700 3200470386000 3243143324480 3413835078400 3800558583375 3891771989376 4053929155600 4267293848000 4864714986720 5067411444500 5120752617600 6080893733400 6400940772000 6486286648960 7601117166750 7783543978752 8107858311200 8534587696000 9729429973440 10134822889000 10241505235200 12161787466800 12801881544000 12972573297920 15202234333500 16215716622400 17069175392000 19458859946880 20269645778000 24323574933600 25603763088000 30404468667000 32431433244800 38917719893760 40539291556000 48647149867200 51207526176000 60808937334000 64862866489600 81078583112000 97294299734400 121617874668000 162157166224000 194588599468800 243235749336000 324314332448000 486471498672000 972942997344000
• Sum of all divisors σ(n): 3405915613201920
• Sum of proper divisors (its aliquot sum) s(n): 2432972615857920
• 972942997344000 is an abundant number, because the sum of its proper divisors (2432972615857920) is greater than itself. Its abundance is 1460029618513920

Bases of 972942997344000

• Binary: 11011101001110001011110001101111100100111100000000₂
• Hexadecimal: 0x374E2F1BE4F00
• Base-36: 9KVNUBZ3EO

Squares and roots of 972942997344000

• 972942997344000 squared (972942997344000²) is 946618076080726791054336000000
• 972942997344000 cubed (972942997344000³) is 921005428281992956198368473807683584000000000
• The square root of 972942997344000 is 31192034.1969548373
• The cube root of 972942997344000 is 99089.8411523777

Scales and comparisons

• 972,942,997,344,000 seconds is equal to 30,936,577 years, 41 weeks, 6 days, 2 hours, 40 minutes.
• To count from 1 to 972,942,997,344,000 would take you about seventy-seven million, three hundred forty-one thousand, four hundred forty-four 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 972942997344000 cubic inches would be around 8257.5 feet tall.

Recreational maths with 972942997344000

• 972942997344000 backwards is 000443799249279
• The number of decimal digits it has is: 15
• The sum of 972942997344000's digits is 69
• More coming soon!