40922140672000
40,922,140,672,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 40922140672000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
40922140672000 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 40922140672000:
215 × 53 × 72 × 41 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 41 × 4973)See below for interesting mathematical facts about the number 40922140672000 from the Numbermatics database.
Names of 40922140672000
- Cardinal: 40922140672000 can be written as Forty trillion, nine hundred twenty-two billion, one hundred forty million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.0922140672 × 1013
Factors of 40922140672000
Divisors of 40922140672000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 350 392 400 410 448 490 500 512 560 574 640 656 700 784 800 820 875 896 980 1000 1024 1025 1120 1148 1225 1280 1312 1400 1435 1568 1600 1640 1750 1792 1960 2000 2009 2048 2050 2240 2296 2450 2560 2624 2800 2870 3136 3200 3280 3500 3584 3920 4000 4018 4096 4100 4480 4592 4900 4973 5120 5125 5248 5600 5740 6125 6272 6400 6560 7000 7168 7175 7840 8000 8036 8192 8200 8960 9184 9800 9946 10045 10240 10250 10496 11200 11480 12250 12544 12800 13120 14000 14336 14350 15680 16000 16072 16384 16400 17920 18368 19600 19892 20090 20480 20500 20992 22400 22960 24500 24865 25088 25600 26240 28000 28672 28700 31360 32000 32144 32768 32800 34811 35840 35875 36736 39200 39784 40180 40960 41000 41984 44800 45920 49000 49730 50176 50225 51200 52480 56000 57344 57400 62720 64000 64288 65600 69622 71680 71750 73472 78400 79568 80360 81920 82000 83968 89600 91840 98000 99460 100352 100450 102400 104960 112000 114688 114800 124325 125440 128000 128576 131200 139244 143360 143500 146944 156800 159136 160720 163840 164000 167936 174055 179200 183680 196000 198920 200704 200900 203893 204800 209920 224000 229376 229600 243677 248650 250880 251125 256000 257152 262400 278488 286720 287000 293888 313600 318272 321440 328000 335872 348110 358400 367360 392000 397840 401408 401800 407786 409600 419840 448000 459200 487354 497300 501760 502250 512000 514304 524800 556976 573440 574000 587776 621625 627200 636544 642880 656000 671744 696220 716800 734720 784000 795680 802816 803600 815572 819200 839680 870275 896000 918400 974708 994600 1003520 1004500 1019465 1024000 1028608 1049600 1113952 1146880 1148000 1175552 1218385 1243250 1254400 1273088 1285760 1312000 1343488 1392440 1427251 1433600 1469440 1568000 1591360 1605632 1607200 1631144 1679360 1740550 1792000 1836800 1949416 1989200 2007040 2009000 2038930 2048000 2057216 2099200 2227904 2296000 2351104 2436770 2486500 2508800 2546176 2571520 2624000 2784880 2854502 2867200 2938880 3136000 3182720 3214400 3262288 3358720 3481100 3584000 3673600 3898832 3978400 4014080 4018000 4077860 4096000 4114432 4198400 4351375 4455808 4592000 4702208 4873540 4973000 5017600 5092352 5097325 5143040 5248000 5569760 5709004 5734400 5877760 6091925 6272000 6365440 6428800 6524576 6717440 6962200 7136255 7168000 7347200 7797664 7956800 8028160 8036000 8155720 8228864 8396800 8702750 8911616 9184000 9404416 9747080 9946000 9990757 10035200 10184704 10194650 10286080 10496000 11139520 11418008 11755520 12183850 12544000 12730880 12857600 13049152 13924400 14272510 14336000 14694400 15595328 15913600 16072000 16311440 16457728 16793600 17405500 17823232 18368000 19494160 19892000 19981514 20070400 20369408 20389300 20572160 20992000 22279040 22836016 23511040 24367700 25088000 25461760 25486625 25715200 26098304 27848800 28545020 28672000 29388800 30459625 31190656 31827200 32144000 32622880 32915456 33587200 34811000 35646464 35681275 36736000 38988320 39784000 39963028 40140800 40738816 40778600 41144320 41984000 44558080 45672032 47022080 48735400 49953785 50176000 50923520 50973250 51430400 52196608 55697600 57090040 58777600 60919250 62381312 63654400 64288000 65245760 65830912 69622000 71292928 71362550 73472000 77976640 79568000 79926056 81477632 81557200 82288640 83968000 89116160 91344064 97470800 99907570 100352000 101847040 101946500 102860800 104393216 111395200 114180080 117555200 121838500 124762624 127308800 128576000 130491520 139244000 142585856 142725100 146944000 155953280 159136000 159852112 162955264 163114400 164577280 167936000 178232320 178406375 182688128 194941600 199815140 200704000 203694080 203893000 205721600 208786432 222790400 228360160 235110400 243677000 249525248 249768925 254617600 257152000 260983040 278488000 285171712 285450200 293888000 311906560 318272000 319704224 326228800 329154560 356464640 356812750 365376256 389883200 399630280 407388160 407786000 411443200 417572864 445580800 456720320 487354000 499050496 499537850 509235200 514304000 521966080 556976000 570343424 570900400 587776000 623813120 636544000 639408448 652457600 712929280 713625500 730752512 779766400 799260560 814776320 815572000 822886400 835145728 891161600 913440640 974708000 998100992 999075700 1018470400 1028608000 1043932160 1113952000 1140686848 1141800800 1175552000 1247626240 1248844625 1273088000 1278816896 1304915200 1425858560 1427251000 1461505024 1559532800 1598521120 1631144000 1645772800 1670291456 1782323200 1826881280 1949416000 1996201984 1998151400 2036940800 2057216000 2087864320 2227904000 2283601600 2495252480 2497689250 2546176000 2557633792 2609830400 2851717120 2854502000 2923010048 3119065600 3197042240 3262288000 3340582912 3564646400 3653762560 3898832000 3992403968 3996302800 4073881600 4114432000 4175728640 4455808000 4567203200 4990504960 4995378500 5092352000 5115267584 5219660800 5703434240 5709004000 5846020096 6238131200 6394084480 6524576000 6681165824 7129292800 7307525120 7797664000 7984807936 7992605600 8228864000 8351457280 8911616000 9134406400 9981009920 9990757000 10184704000 10230535168 10439321600 11418008000 11692040192 12476262400 12788168960 13049152000 14258585600 14615050240 15595328000 15985211200 16702914560 17823232000 18268812800 19962019840 19981514000 20369408000 20461070336 20878643200 22836016000 23384080384 24952524800 25576337920 26098304000 28517171200 29230100480 31190656000 31970422400 33405829120 35646464000 36537625600 39924039680 39963028000 40922140672 41757286400 45672032000 46768160768 49905049600 51152675840 52196608000 58460200960 62381312000 63940844800 71292928000 73075251200 79926056000 81844281344 83514572800 91344064000 99810099200 102305351680 104393216000 116920401920 124762624000 127881689600 142585856000 146150502400 159852112000 163688562688 167029145600 182688128000 199620198400 204610703360 208786432000 233840803840 249525248000 255763379200 292301004800 319704224000 327377125376 365376256000 409221406720 417572864000 499050496000 511526758400 584602009600 639408448000 730752512000 818442813440 835145728000 998100992000 1023053516800 1169204019200 1278816896000 1461505024000 1636885626880 2046107033600 2557633792000 2923010048000 4092214067200 5115267584000 5846020096000 8184428134400 10230535168000 20461070336000 40922140672000
- Sum of all divisors σ(n): 121738467155760
- Sum of proper divisors (its aliquot sum) s(n): 80816326483760
- 40922140672000 is an abundant number, because the sum of its proper divisors (80816326483760) is greater than itself. Its abundance is 39894185811760
Bases of 40922140672000
- Binary: 10010100110111111011011010100010000000000000002
- Hexadecimal: 0x2537EDA88000
- Base-36: EI7DDZ75S
Squares and roots of 40922140672000
- 40922140672000 squared (409221406720002) is 1674621597178956611584000000
- 40922140672000 cubed (409221406720003) is 68529100572126580817424912744448000000000
-
The
square root of 40922140672000 is 6397041.5562195623 -
The
cube root of 40922140672000 is 34460.3312654043
Scales and comparisons
How big is 40922140672000?- 40,922,140,672,000 seconds is equal to 1,301,197 years, 25 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 40,922,140,672,000 would take you about three million, two hundred fifty-two thousand, nine hundred ninety-three 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 40922140672000 cubic inches would be around 2871.7 feet tall.
Recreational maths with 40922140672000
- 40922140672000 backwards is 00027604122904
- The number of decimal digits it has is: 14
- The sum of 40922140672000's digits is 37
- More coming soon!
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