972984960000

Names of 972984960000

• Cardinal: 972984960000 can be written as Nine hundred seventy-two billion, nine hundred eighty-four million, nine hundred sixty thousand.

Scientific notation

• Scientific notation: 9.7298496 × 10¹¹

Factors of 972984960000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 147

Divisors of 972984960000

• Number of divisors d(n): 825
• 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 64 72 75 80 81 90 96 100 108 120 125 128 135 137 144 150 160 162 180 192 200 216 225 240 250 256 270 274 288 300 320 324 360 375 384 400 405 411 432 450 480 500 512 540 548 576 600 625 640 648 675 685 720 750 768 800 810 822 864 900 960 1000 1024 1080 1096 1125 1152 1200 1233 1250 1280 1296 1350 1370 1440 1500 1536 1600 1620 1644 1728 1800 1875 1920 2000 2025 2055 2160 2192 2250 2304 2400 2466 2500 2560 2592 2700 2740 2880 3000 3072 3200 3240 3288 3375 3425 3456 3600 3699 3750 3840 4000 4050 4110 4320 4384 4500 4608 4800 4932 5000 5120 5184 5400 5480 5625 5760 6000 6165 6400 6480 6576 6750 6850 6912 7200 7398 7500 7680 8000 8100 8220 8640 8768 9000 9216 9600 9864 10000 10125 10275 10368 10800 10960 11097 11250 11520 12000 12330 12800 12960 13152 13500 13700 13824 14400 14796 15000 15360 16000 16200 16440 16875 17125 17280 17536 18000 18495 18769 19200 19728 20000 20250 20550 20736 21600 21920 22194 22500 23040 24000 24660 25600 25920 26304 27000 27400 27648 28800 29592 30000 30825 32000 32400 32880 33750 34250 34560 35072 36000 36990 37538 38400 39456 40000 40500 41100 41472 43200 43840 44388 45000 46080 48000 49320 50625 51375 51840 52608 54000 54800 55485 56307 57600 59184 60000 61650 64000 64800 65760 67500 68500 69120 70144 72000 73980 75076 76800 78912 80000 81000 82200 82944 85625 86400 87680 88776 90000 92475 93845 96000 98640 101250 102750 103680 105216 108000 109600 110970 112614 115200 118368 120000 123300 128000 129600 131520 135000 137000 138240 140288 144000 147960 150152 154125 157824 160000 162000 164400 168921 171250 172800 175360 177552 180000 184950 187690 192000 197280 202500 205500 207360 210432 216000 219200 221940 225228 230400 236736 240000 246600 256875 259200 263040 270000 274000 277425 281535 288000 295920 300304 308250 315648 320000 324000 328800 337842 342500 345600 350720 355104 360000 369900 375380 384000 394560 405000 411000 414720 420864 432000 438400 443880 450456 462375 469225 473472 480000 493200 506763 513750 518400 526080 540000 548000 554850 563070 576000 591840 600608 616500 631296 640000 648000 657600 675684 685000 691200 701440 710208 720000 739800 750760 770625 789120 810000 822000 844605 864000 876800 887760 900912 924750 938450 946944 960000 986400 1013526 1027500 1036800 1052160 1080000 1096000 1109700 1126140 1152000 1183680 1201216 1233000 1262592 1296000 1315200 1351368 1370000 1387125 1407675 1420416 1440000 1479600 1501520 1520289 1541250 1578240 1620000 1644000 1689210 1728000 1753600 1775520 1801824 1849500 1876900 1893888 1920000 1972800 2027052 2055000 2073600 2104320 2160000 2192000 2219400 2252280 2311875 2346125 2367360 2402432 2466000 2533815 2592000 2630400 2702736 2740000 2774250 2815350 2840832 2880000 2959200 3003040 3040578 3082500 3156480 3240000 3288000 3378420 3456000 3507200 3551040 3603648 3699000 3753800 3787776 3945600 4054104 4110000 4223025 4320000 4384000 4438800 4504560 4623750 4692250 4734720 4804864 4932000 5067630 5184000 5260800 5405472 5480000 5548500 5630700 5681664 5760000 5918400 6006080 6081156 6165000 6312960 6480000 6576000 6756840 6935625 7038375 7102080 7207296 7398000 7507600 7601445 7891200 8108208 8220000 8446050 8640000 8768000 8877600 9009120 9247500 9384500 9469440 9609728 9864000 10135260 10368000 10521600 10810944 10960000 11097000 11261400 11363328 11730625 11836800 12012160 12162312 12330000 12669075 12960000 13152000 13513680 13871250 14076750 14204160 14414592 14796000 15015200 15202890 15782400 16216416 16440000 16892100 17280000 17536000 17755200 18018240 18495000 18769000 18938880 19219456 19728000 20270520 21115125 21621888 21920000 22194000 22522800 23461250 23673600 24024320 24324624 24660000 25338150 25920000 26304000 27027360 27742500 28153500 28408320 28829184 29592000 30030400 30405780 31564800 32432832 32880000 33784200 35191875 35510400 36036480 36990000 37538000 38007225 39456000 40541040 42230250 43243776 43840000 44388000 45045600 46922500 47347200 48048640 48649248 49320000 50676300 51840000 52608000 54054720 55485000 56307000 56816640 57658368 59184000 60060800 60811560 63345375 64865664 65760000 67568400 70383750 71020800 72072960 73980000 75076000 76014450 78912000 81082080 84460500 86487552 87680000 88776000 90091200 93845000 94694400 96097280 97298496 98640000 101352600 105575625 108109440 110970000 112614000 118368000 120121600 121623120 126690750 129731328 131520000 135136800 140767500 142041600 144145920 147960000 150152000 152028900 157824000 162164160 168921000 172975104 177552000 180182400 187690000 190036125 194596992 197280000 202705200 211151250 216218880 221940000 225228000 236736000 240243200 243246240 253381500 259462656 263040000 270273600 281535000 284083200 288291840 295920000 300304000 304057800 316726875 324328320 337842000 355104000 360364800 375380000 380072250 389193984 394560000 405410400 422302500 432437760 443880000 450456000 473472000 480486400 486492480 506763000 518925312 540547200 563070000 591840000 600608000 608115600 633453750 648656640 675684000 710208000 720729600 750760000 760144500 778387968 789120000 810820800 844605000 864875520 887760000 900912000 950180625 972984960 1013526000 1081094400 1126140000 1183680000 1201216000 1216231200 1266907500 1297313280 1351368000 1420416000 1441459200 1501520000 1520289000 1556775936 1621641600 1689210000 1775520000 1801824000 1900361250 1945969920 2027052000 2162188800 2252280000 2367360000 2402432000 2432462400 2533815000 2594626560 2702736000 3003040000 3040578000 3243283200 3378420000 3551040000 3603648000 3800722500 3891939840 4054104000 4324377600 4504560000 4864924800 5067630000 5405472000 6006080000 6081156000 6486566400 6756840000 7102080000 7207296000 7601445000 7783879680 8108208000 9009120000 9729849600 10135260000 10810944000 12012160000 12162312000 12973132800 13513680000 15202890000 16216416000 18018240000 19459699200 20270520000 21621888000 24324624000 27027360000 30405780000 32432832000 36036480000 38919398400 40541040000 48649248000 54054720000 60811560000 64865664000 81082080000 97298496000 108109440000 121623120000 162164160000 194596992000 243246240000 324328320000 486492480000 972984960000
• Sum of all divisors σ(n): 3657437143129
• Sum of proper divisors (its aliquot sum) s(n): 2684452183129
• 972984960000 is an abundant number, because the sum of its proper divisors (2684452183129) is greater than itself. Its abundance is 1711467223129

Bases of 972984960000

• Binary: 1110001010001010011011000100010000000000₂
• Hexadecimal: 0xE28A6C4400
• Base-36: CEZE4G00

Squares and roots of 972984960000

• 972984960000 squared (972984960000²) is 946699732386201600000000
• 972984960000 cubed (972984960000³) is 921124601247799068327936000000000000
• 972984960000 is a perfect square number. Its square root is 986400
• The cube root of 972984960000 is 9909.1265700767

Scales and comparisons

• 972,984,960,000 seconds is equal to 30,937 years, 47 weeks, 3 days.
• To count from 1 to 972,984,960,000 would take you about sixty-one thousand, eight hundred seventy-five 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 972984960000 cubic inches would be around 825.8 feet tall.

Recreational maths with 972984960000

• 972984960000 backwards is 000069489279
• 972984960000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 972984960000's digits is 54
• More coming soon!