2137812090120
2,137,812,090,120 is an even composite number composed of eight prime numbers multiplied together.
2137812090120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 2137812090120:
23 × 33 × 5 × 7 × 17 × 29 × 181 × 3169
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 17 × 29 × 181 × 3169)See below for interesting mathematical facts about the number 2137812090120 from the Numbermatics database.
Names of 2137812090120
- Cardinal: 2137812090120 can be written as Two trillion, one hundred thirty-seven billion, eight hundred twelve million, ninety thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.13781209012 × 1012
Factors of 2137812090120
Divisors of 2137812090120
- Number of divisors d(n): 1024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 27 28 29 30 34 35 36 40 42 45 51 54 56 58 60 63 68 70 72 84 85 87 90 102 105 108 116 119 120 126 135 136 140 145 153 168 170 174 180 181 189 203 204 210 216 232 238 252 255 261 270 280 290 306 315 340 348 357 360 362 378 406 408 420 435 459 476 493 504 510 522 540 543 580 595 609 612 630 680 696 714 724 756 765 783 812 840 870 905 918 945 952 986 1015 1020 1044 1071 1080 1086 1160 1190 1218 1224 1260 1267 1305 1428 1448 1479 1512 1530 1566 1624 1629 1740 1785 1810 1827 1836 1890 1972 2030 2040 2088 2142 2172 2295 2380 2436 2465 2520 2534 2610 2715 2856 2958 3045 3060 3077 3132 3169 3213 3258 3451 3480 3570 3620 3654 3672 3780 3801 3915 3944 4060 4284 4344 4437 4590 4760 4872 4887 4930 5068 5220 5249 5355 5430 5481 5916 6090 6120 6154 6264 6335 6338 6426 6516 6902 7140 7240 7308 7395 7560 7602 7830 8120 8145 8568 8874 9135 9180 9231 9507 9774 9860 10136 10353 10440 10498 10710 10860 10962 11403 11832 12180 12308 12670 12676 12852 13032 13311 13804 14280 14616 14790 15204 15385 15660 15747 15845 16065 16290 17255 17748 18270 18360 18462 19005 19014 19548 19720 20706 20996 21420 21539 21720 21924 22183 22185 22806 24360 24435 24616 25340 25352 25704 26245 26622 27405 27608 27693 28521 29580 30408 30770 31059 31320 31494 31690 32130 32580 34209 34510 35496 36540 36743 36924 38010 38028 39096 41412 41992 42840 43078 43848 44366 44370 45612 46155 47241 47535 48870 50680 51765 52490 53244 53873 54810 55386 57015 57042 59160 61540 62118 62988 63380 64260 64617 65160 66549 66555 68418 69020 73080 73486 73848 76020 76056 78735 82824 83079 85563 86156 88732 88740 89233 91224 91901 92310 93177 94482 95070 97740 103530 104980 106488 107695 107746 109620 110229 110772 110915 114030 114084 123080 124236 125976 126760 128520 129234 133098 133110 136836 138040 138465 141723 142605 146972 152040 155295 157470 161619 166158 171045 171126 172312 177464 177480 178466 183715 183802 184620 186354 188964 190140 193851 195480 199647 207060 209960 215390 215492 219240 220458 221544 221830 228060 228168 236205 248472 258468 266196 266220 267699 269365 273672 275703 276930 283446 285210 293944 310590 314940 323085 323238 330687 332316 332745 342090 342252 356932 367430 367604 369240 372708 377111 377928 380280 387702 399294 414120 415395 427815 430780 430984 440916 443660 446165 456120 459505 465885 472410 484857 516936 532392 532440 535398 538730 551145 551406 553860 566892 570420 573589 581553 598941 621180 624631 629880 643307 646170 646476 661374 664632 665490 684180 684504 708615 713864 734860 735208 745416 754222 775404 798588 803097 808095 827109 830790 855630 861560 881832 887320 892330 919010 931770 944820 969255 969714 992061 998235 1070796 1077460 1102290 1102812 1107720 1131333 1133784 1140840 1147178 1163106 1197882 1242360 1249262 1286614 1292340 1292952 1322748 1330980 1338495 1368360 1378515 1417230 1454571 1469720 1508444 1550808 1562317 1597176 1606194 1616190 1653435 1654218 1661580 1711260 1720767 1784660 1838020 1863540 1873893 1885555 1889640 1929921 1938510 1939428 1984122 1996470 2141592 2154920 2204580 2205624 2262666 2294356 2326212 2395764 2409291 2424285 2481327 2498524 2573228 2584680 2645496 2661960 2676990 2757030 2834460 2867945 2907765 2909142 2994705 3016888 3123155 3124634 3212388 3216535 3232380 3306870 3308436 3323160 3393999 3422520 3441534 3569320 3676040 3727080 3747786 3771110 3859842 3877020 3878856 3968244 3992940 4015123 4015485 4135545 4409160 4525332 4588712 4652424 4686951 4791528 4818582 4848570 4960305 4962654 4997048 5146456 5162301 5353980 5514060 5621679 5656665 5668920 5735890 5789763 5815530 5818284 5989410 6246310 6249268 6424776 6433070 6464760 6613740 6616872 6787998 6883068 7272855 7495572 7542220 7719684 7754040 7811585 7936488 7985880 8030246 8030970 8271090 8603835 9050664 9369465 9373902 9637164 9649605 9697140 9751013 9920610 9925308 10181997 10324602 10707960 10936219 11028120 11243358 11313330 11471780 11579526 11631060 11636568 11978820 12045369 12046455 12406635 12492620 12498536 12866140 13227480 13575996 13766136 14060853 14545710 14991144 15084440 15439368 15486903 15623170 16060492 16061940 16542180 16634081 16865037 16969995 17207670 17369289 18738930 18747804 19274328 19299210 19394280 19502026 19841220 19850616 20075615 20363994 20649204 21872438 22486716 22626660 22943560 23159052 23262120 23434755 23957640 24090738 24092910 24813270 24985240 25732280 25811505 27151992 28108395 28121706 28948815 29091420 29253039 30973806 31246340 32120984 32123880 32808657 33084360 33268162 33730074 33939990 34415340 34738578 36136107 37477860 37495608 38598420 39004052 39682440 40151230 40727988 41298408 42182559 43744876 44973432 45253320 46318104 46869510 48181476 48185820 48755065 49626540 49902243 50909985 51623010 54681095 56216790 56243412 57897630 58182840 58506078 60226845 61947612 62492680 65617314 66536324 67460148 67879980 68257091 68830680 69477156 70304265 72272214 74955720 77196840 77434515 78008104 80302460 81455976 83170405 84325185 84365118 86846445 87489752 87759117 93739020 96362952 96371640 97510130 98425971 99253080 99804486 101819970 103246020 108408321 109362190 112433580 112486824 115795260 116438567 117012156 120453690 123895224 131234628 133072648 134920296 135759960 136514182 138954312 140608530 144544428 146265195 149706729 154869030 160604920 164043285 166340810 168650370 168730236 173692890 175518234 180680535 187478040 195020260 196851942 199608972 203639940 204771273 206492040 210912795 216816642 218724380 224867160 231590520 232877134 234024312 240907380 249511215 262469256 263277351 273028364 281217060 282779377 289088856 292530390 295277913 299413458 309738060 328086570 332681620 337300740 337460472 341285455 347385780 349315701 351036468 361361070 390040520 393703884 399217944 407279880 409542546 421825590 433633284 437448760 438795585 449120187 465754268 481814760 492129855 499022430 526554702 542041605 546056728 562434120 565558754 582192835 585060780 590555826 598826916 614313819 619476120 656173140 665363240 674601480 682570910 694771560 698631402 702072936 722722140 748533645 787407768 819085092 843651180 848338131 867266568 877591170 898240374 931508536 984259710 998044860 1023856365 1047947103 1053109404 1084083210 1131117508 1164385670 1170121560 1181111652 1197653832 1228627638 1312346280 1316386755 1365141820 1397262804 1413896885 1445444280 1476389565 1497067290 1638170184 1687302360 1696676262 1746578505 1755182340 1796480748 1842941457 1968519420 1979455639 1996089720 2047712730 2095894206 2106218808 2168166420 2245600935 2262235016 2328771340 2362223304 2457255276 2545014393 2632773510 2730283640 2794525608 2827793770 2952779130 2994134580 3071569095 3143841309 3393352524 3493157010 3510364680 3592961496 3685882914 3937038840 3958911278 4095425460 4191788412 4241690655 4336332840 4491201870 4657542680 4914510552 5090028786 5239735515 5265547020 5655587540 5905558260 5938366917 5988269160 6143138190 6287682618 6786705048 6986314020 7371765828 7635043179 7917822556 8190850920 8383576824 8483381310 8982403740 9214707285 9897278195 10180057572 10479471030 10531094040 11311175080 11811116520 11876733834 12286276380 12575365236 12725071965 13972628040 14743531656 15270086358 15719206545 15835645112 16966762620 17815100751 17964807480 18429414570 19794556390 20360115144 20958942060 23753467668 24572552760 25150730472 25450143930 29691834585 30540172716 31438413090 33933525240 35630201502 36858829140 38175215895 39589112780 41917884120 47506935336 50900287860 53445302253 59383669170 61080345432 62876826180 71260403004 73717658280 76350431790 79178225560 89075503755 101800575720 106890604506 118767338340 125753652360 142520806008 152700863580 178151007510 213781209012 237534676680 267226511265 305401727160 356302015020 427562418024 534453022530 712604030040 1068906045060 2137812090120
- Sum of all divisors σ(n): 8972570880000
- Sum of proper divisors (its aliquot sum) s(n): 6834758789880
- 2137812090120 is an abundant number, because the sum of its proper divisors (6834758789880) is greater than itself. Its abundance is 4696946699760
Bases of 2137812090120
- Binary: 111110001101111111000011110111101000010002
- Hexadecimal: 0x1F1BF87BD08
- Base-36: RA3I4DU0
Squares and roots of 2137812090120
- 2137812090120 squared (21378120901202) is 4570240532663243001614400
- 2137812090120 cubed (21378120901203) is 9770315465483949651378742998289728000
-
The
square root of 2137812090120 is 1462125.8803947081 -
The
cube root of 2137812090120 is 12882.1942313329
Scales and comparisons
How big is 2137812090120?- 2,137,812,090,120 seconds is equal to 67,975 years, 42 weeks, 1 day, 11 hours, 42 minutes.
-
To count from 1 to 2,137,812,090,120 would take you about one hundred sixty-nine thousand, nine hundred thirty-nine 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 2137812090120 cubic inches would be around 1073.5 feet tall.
Recreational maths with 2137812090120
- 2137812090120 backwards is 0210902187312
- 2137812090120 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2137812090120's digits is 36
- More coming soon!
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"Number 2137812090120 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 2137812090120 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/2137812090120/
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The information we have on file for 2137812090120 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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