31972427136000
31,972,427,136,000 is an even composite number composed of seven prime numbers multiplied together.
31972427136000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 31972427136000:
210 × 33 × 53 × 13 × 17 × 41 × 1021
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 41 × 1021)See below for interesting mathematical facts about the number 31972427136000 from the Numbermatics database.
Names of 31972427136000
- Cardinal: 31972427136000 can be written as Thirty-one trillion, nine hundred seventy-two billion, four hundred twenty-seven million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 3.1972427136 × 1013
Factors of 31972427136000
Divisors of 31972427136000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 41 45 48 50 51 52 54 60 64 65 68 72 75 78 80 82 85 90 96 100 102 104 108 117 120 123 125 128 130 135 136 144 150 153 156 160 164 170 180 192 195 200 204 205 208 216 221 225 234 240 246 250 255 256 260 270 272 288 300 306 312 320 325 328 340 351 360 369 375 384 390 400 408 410 416 425 432 442 450 459 468 480 492 500 510 512 520 533 540 544 576 585 600 612 615 624 640 650 656 663 675 680 697 702 720 738 750 765 768 780 800 816 820 832 850 864 884 900 918 936 960 975 984 1000 1020 1021 1024 1025 1040 1066 1080 1088 1105 1107 1125 1152 1170 1200 1224 1230 1248 1275 1280 1300 1312 1326 1350 1360 1394 1404 1440 1476 1500 1530 1536 1560 1599 1600 1625 1632 1640 1664 1700 1728 1755 1768 1800 1836 1845 1872 1920 1950 1968 1989 2000 2040 2042 2050 2080 2091 2125 2132 2160 2176 2210 2214 2250 2295 2304 2340 2400 2448 2460 2496 2550 2560 2600 2624 2652 2665 2700 2720 2788 2808 2880 2925 2952 3000 3060 3063 3072 3075 3120 3198 3200 3250 3264 3280 3315 3328 3375 3400 3456 3485 3510 3536 3600 3672 3690 3744 3825 3840 3900 3936 3978 4000 4080 4084 4100 4160 4182 4250 4264 4320 4352 4420 4428 4500 4590 4608 4680 4797 4800 4875 4896 4920 4992 5100 5105 5120 5125 5200 5248 5304 5330 5400 5440 5525 5535 5576 5616 5760 5850 5904 5967 6000 6120 6126 6150 6240 6273 6375 6396 6400 6500 6528 6560 6630 6656 6750 6800 6912 6970 7020 7072 7200 7344 7380 7488 7650 7680 7800 7872 7956 7995 8000 8160 8168 8200 8320 8364 8500 8528 8640 8704 8775 8840 8856 9000 9061 9180 9189 9216 9225 9360 9594 9600 9750 9792 9840 9945 9984 10200 10210 10250 10400 10455 10496 10608 10660 10800 10880 11050 11070 11152 11232 11475 11520 11700 11808 11934 12000 12240 12252 12300 12480 12546 12750 12792 12800 13000 13056 13120 13260 13273 13312 13325 13500 13600 13824 13940 14040 14144 14391 14400 14625 14688 14760 14976 15300 15315 15360 15375 15600 15744 15912 15990 16000 16320 16336 16400 16575 16640 16728 17000 17056 17280 17357 17408 17425 17550 17680 17712 18000 18122 18360 18378 18450 18720 18819 19125 19188 19200 19500 19584 19680 19890 19968 20400 20420 20500 20800 20910 20992 21216 21320 21600 21760 22100 22140 22304 22464 22950 23040 23400 23616 23868 23985 24000 24480 24504 24600 24960 25092 25500 25525 25584 25600 26000 26112 26240 26520 26546 26650 27000 27183 27200 27567 27625 27648 27675 27880 28080 28288 28782 28800 29250 29376 29520 29835 29952 30600 30630 30750 31200 31365 31488 31824 31980 32000 32640 32672 32800 33150 33280 33456 34000 34112 34560 34714 34850 35100 35360 35424 36000 36244 36720 36756 36900 37440 37638 38250 38376 38400 39000 39168 39360 39780 39819 39936 39975 40800 40840 41000 41600 41820 41861 41984 42432 42640 43200 43520 43875 44200 44280 44608 44928 45305 45900 45945 46080 46125 46800 47232 47736 47970 48000 48960 49008 49200 49725 49920 50184 51000 51050 51168 52000 52071 52224 52275 52480 53040 53092 53300 54000 54366 54400 55134 55250 55350 55760 56160 56576 57375 57564 57600 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21314951424 21661536000 22203074400 22772384000 22935744000 23509137600 23683279360 24111936000 24369228000 24594174720 24978458700 25076413440 25618932000 25993843200 26121264000 26643689280 27326860800 27753843000 28419935232 28882048000 28934323200 29386422000 29604099200 29992896000 30742718400 31192611840 31223073375 31314816000 31345516800 31972427136 32492304000 32792232960 33304611600 34158576000 34828352000 35524919040 36167904000 37005124000 37614620160 38428398000 38990764800 39181896000 39965533920 40990291200 41630764500 41794022400 42629902848 43323072000 44406148800 45544768000 45871488000 47018275200 47366558720 48223872000 48738456000 49188349440 49956917400 51237864000 51987686400 52242528000 53287378560 54653721600 55507686000 58772844000 59208198400 59985792000 61485436800 62446146750 62691033600 63944854272 64984608000 66609223200 68317152000 69656704000 71049838080 72335808000 74010248000 75229240320 76856796000 77981529600 78363792000 79931067840 81980582400 83261529000 85259805696 86646144000 88812297600 91089536000 94036550400 97476912000 98376698880 99913834800 102475728000 104485056000 106574757120 111015372000 117545688000 118416396800 122970873600 124892293500 125382067200 127889708544 129969216000 133218446400 136634304000 142099676160 144671616000 148020496000 153713592000 155963059200 156727584000 159862135680 163961164800 166523058000 177624595200 188073100800 194953824000 199827669600 204951456000 208970112000 213149514240 222030744000 235091376000 236832793600 245941747200 249784587000 255779417088 259938432000 266436892800 273268608000 296040992000 307427184000 313455168000 319724271360 333046116000 355249190400 376146201600 389907648000 399655339200 409902912000 426299028480 444061488000 470182752000 491883494400 499569174000 532873785600 592081984000 614854368000 626910336000 639448542720 666092232000 710498380800 779815296000 799310678400 819805824000 888122976000 940365504000 999138348000 1065747571200 1184163968000 1229708736000 1278897085440 1332184464000 1598621356800 1776245952000 1880731008000 1998276696000 2131495142400 2459417472000 2664368928000 3197242713600 3552491904000 3996553392000 5328737856000 6394485427200 7993106784000 10657475712000 15986213568000 31972427136000
- Sum of all divisors σ(n): 138166628221440
- Sum of proper divisors (its aliquot sum) s(n): 106194201085440
- 31972427136000 is an abundant number, because the sum of its proper divisors (106194201085440) is greater than itself. Its abundance is 74221773949440
Bases of 31972427136000
- Binary: 1110100010100001010010010100101111100000000002
- Hexadecimal: 0x1D1429297C00
- Base-36: BBZXHM2O0
Squares and roots of 31972427136000
- 31972427136000 squared (319724271360002) is 1022236096966829162496000000
- 31972427136000 cubed (319724271360003) is 32683369126060976006863263891456000000000
-
The
square root of 31972427136000 is 5654416.6043898817 -
The
cube root of 31972427136000 is 31738.8998371533
Scales and comparisons
How big is 31972427136000?- 31,972,427,136,000 seconds is equal to 1,016,624 years, 14 weeks, 6 days.
-
To count from 1 to 31,972,427,136,000 would take you about two million, five hundred forty-one thousand, five hundred sixty 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 31972427136000 cubic inches would be around 2644.9 feet tall.
Recreational maths with 31972427136000
- 31972427136000 backwards is 00063172427913
- 31972427136000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31972427136000's digits is 45
- More coming soon!
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The information we have on file for 31972427136000 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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