968407345152000
968,407,345,152,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 968407345152000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
968407345152000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 968407345152000:
214 × 32 × 53 × 13 × 1072 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 107 × 107 × 353)See below for interesting mathematical facts about the number 968407345152000 from the Numbermatics database.
Names of 968407345152000
- Cardinal: 968407345152000 can be written as Nine hundred sixty-eight trillion, four hundred seven billion, three hundred forty-five million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 9.68407345152 × 1014
Factors of 968407345152000
Divisors of 968407345152000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 107 117 120 125 128 130 144 150 156 160 180 192 195 200 208 214 225 234 240 250 256 260 288 300 312 320 321 325 353 360 375 384 390 400 416 428 450 468 480 500 512 520 535 576 585 600 624 640 642 650 706 720 750 768 780 800 832 856 900 936 960 963 975 1000 1024 1040 1059 1070 1125 1152 1170 1200 1248 1280 1284 1300 1391 1412 1440 1500 1536 1560 1600 1605 1625 1664 1712 1765 1800 1872 1920 1926 1950 2000 2048 2080 2118 2140 2250 2304 2340 2400 2496 2560 2568 2600 2675 2782 2824 2880 2925 3000 3072 3120 3177 3200 3210 3250 3328 3424 3530 3600 3744 3840 3852 3900 4000 4096 4160 4173 4236 4280 4500 4589 4608 4680 4800 4815 4875 4992 5120 5136 5200 5295 5350 5564 5648 5760 5850 6000 6144 6240 6354 6400 6420 6500 6656 6848 6955 7060 7200 7488 7680 7704 7800 8000 8025 8192 8320 8346 8472 8560 8825 9000 9178 9216 9360 9600 9630 9750 9984 10240 10272 10400 10590 10700 11128 11296 11449 11520 11700 12000 12288 12480 12519 12708 12800 12840 13000 13312 13375 13696 13767 13910 14120 14400 14625 14976 15360 15408 15600 15885 16000 16050 16384 16640 16692 16944 17120 17650 18000 18356 18432 18720 19200 19260 19500 19968 20480 20544 20800 20865 21180 21400 22256 22592 22898 22945 23040 23400 24000 24075 24576 24960 25038 25416 25600 25680 26000 26475 26624 26750 27392 27534 27820 28240 28800 29250 29952 30720 30816 31200 31770 32000 32100 33280 33384 33888 34240 34347 34775 35300 36000 36712 36864 37440 37771 38400 38520 39000 39936 40125 40960 41088 41301 41600 41730 42360 42800 44125 44512 45184 45796 45890 46080 46800 48000 48150 49152 49920 50076 50832 51200 51360 52000 52950 53248 53500 54784 55068 55640 56480 57245 57600 58500 59904 61440 61632 62400 62595 63540 64000 64200 66560 66768 67776 68480 68694 68835 69550 70600 72000 73424 73728 74880 75542 76800 77040 78000 79425 79872 80250 81920 82176 82602 83200 83460 84720 85600 88250 89024 90368 91592 91780 92160 93600 96000 96300 99840 100152 101664 102400 102720 103041 104000 104325 105900 106496 107000 109568 110136 111280 112960 113313 114490 114725 115200 117000 119808 120375 122880 123264 124800 125190 127080 128000 128400 132375 133120 133536 135552 136960 137388 137670 139100 141200 144000 146848 147456 148837 149760 151084 153600 154080 156000 158850 159744 160500 164352 165204 166400 166920 169440 171200 171735 173875 176500 178048 180736 183184 183560 184320 187200 188855 192000 192600 199680 200304 203328 204800 205440 206082 206505 208000 208650 211800 212992 214000 219136 220272 222560 225920 226626 228980 229450 230400 234000 239616 240750 245760 246528 249600 250380 254160 256000 256800 264750 266240 267072 271104 273920 274776 275340 278200 282400 286225 288000 293696 297674 299520 302168 307200 308160 312000 312975 317700 319488 321000 328704 330408 332800 333840 338880 339939 342400 343470 344175 347750 353000 356096 361472 366368 367120 368640 374400 377710 384000 385200 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14898574540800 15131364768000 16140122419200 18623218176000 19368146903040 20175153024000 21520163225600 24210183628800 24830957568000 26900204032000 30262729536000 32280244838400 37246436352000 38736293806080 40350306048000 48420367257600 53800408064000 60525459072000 64560489676800 74492872704000 80700612096000 96840734515200 107600816128000 121050918144000 161401224192000 193681469030400 242101836288000 322802448384000 484203672576000 968407345152000
- Sum of all divisors σ(n): 3806107433502192
- Sum of proper divisors (its aliquot sum) s(n): 2837700088350192
- 968407345152000 is an abundant number, because the sum of its proper divisors (2837700088350192) is greater than itself. Its abundance is 1869292743198192
Bases of 968407345152000
- Binary: 110111000011000010111001111100111001000000000000002
- Hexadecimal: 0x370C2E7CE4000
- Base-36: 9J9S6XRLS0
Squares and roots of 968407345152000
- 968407345152000 squared (9684073451520002) is 937812786144344857903104000000
- 968407345152000 cubed (9684073451520003) is 908184790479645334100287630300151808000000000
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The
square root of 968407345152000 is 31119243.9681943433 -
The
cube root of 968407345152000 is 98935.6227092967
Scales and comparisons
How big is 968407345152000?- 968,407,345,152,000 seconds is equal to 30,792,358 years, 4 weeks, 6 days, 16 hours.
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To count from 1 to 968,407,345,152,000 would take you about seventy-six million, nine hundred eighty thousand, eight hundred ninety-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 968407345152000 cubic inches would be around 8244.6 feet tall.
Recreational maths with 968407345152000
- 968407345152000 backwards is 000251543704869
- The number of decimal digits it has is: 15
- The sum of 968407345152000's digits is 54
- More coming soon!
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The information we have on file for 968407345152000 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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