2137822010368000
2,137,822,010,368,000 is an even composite number composed of six prime numbers multiplied together.
2137822010368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 2137822010368000:
213 × 53 × 11 × 17 × 181 × 61681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 17 × 181 × 61681)See below for interesting mathematical facts about the number 2137822010368000 from the Numbermatics database.
Names of 2137822010368000
- Cardinal: 2137822010368000 can be written as Two quadrillion, one hundred thirty-seven trillion, eight hundred twenty-two billion, ten million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.137822010368 × 1015
Factors of 2137822010368000
Divisors of 2137822010368000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 125 128 136 160 170 176 181 187 200 220 250 256 272 275 320 340 352 362 374 400 425 440 500 512 544 550 640 680 704 724 748 800 850 880 905 935 1000 1024 1088 1100 1280 1360 1375 1408 1448 1496 1600 1700 1760 1810 1870 1991 2000 2048 2125 2176 2200 2560 2720 2750 2816 2896 2992 3077 3200 3400 3520 3620 3740 3982 4000 4096 4250 4352 4400 4525 4675 5120 5440 5500 5632 5792 5984 6154 6400 6800 7040 7240 7480 7964 8000 8192 8500 8704 8800 9050 9350 9955 10240 10880 11000 11264 11584 11968 12308 12800 13600 14080 14480 14960 15385 15928 16000 17000 17408 17600 18100 18700 19910 20480 21760 22000 22528 22625 23168 23375 23936 24616 25600 27200 28160 28960 29920 30770 31856 32000 33847 34000 34816 35200 36200 37400 39820 40960 43520 44000 45056 45250 46336 46750 47872 49232 49775 51200 54400 56320 57920 59840 61540 61681 63712 64000 67694 68000 69632 70400 72400 74800 76925 79640 87040 88000 90112 90500 92672 93500 95744 98464 99550 102400 108800 112640 115840 119680 123080 123362 127424 128000 135388 136000 139264 140800 144800 149600 153850 159280 169235 174080 176000 181000 185344 187000 191488 196928 199100 204800 217600 225280 231680 239360 246160 246724 248875 254848 256000 270776 272000 281600 289600 299200 307700 308405 318560 338470 348160 352000 362000 370688 374000 382976 384625 393856 398200 435200 450560 463360 478720 492320 493448 497750 509696 512000 541552 544000 563200 579200 598400 615400 616810 637120 676940 678491 696320 704000 724000 741376 748000 765952 769250 787712 796400 846175 870400 926720 957440 984640 986896 995500 1019392 1024000 1048577 1083104 1088000 1126400 1158400 1196800 1230800 1233620 1274240 1353880 1356982 1408000 1448000 1482752 1496000 1531904 1538500 1542025 1575424 1592800 1692350 1740800 1853440 1914880 1969280 1973792 1991000 2038784 2097154 2166208 2176000 2252800 2316800 2393600 2461600 2467240 2548480 2707760 2713964 2816000 2896000 2992000 3077000 3084050 3150848 3185600 3384700 3392455 3481600 3706880 3829760 3938560 3947584 3982000 4077568 4194308 4230875 4332416 4352000 4633600 4787200 4923200 4934480 5096960 5242885 5415520 5427928 5632000 5792000 5984000 6154000 6168100 6301696 6371200 6769400 6784910 7413760 7659520 7710125 7877120 7895168 7964000 8155136 8388616 8461750 8664832 8704000 9267200 9574400 9846400 9868960 10193920 10485770 10831040 10855856 11164261 11264000 11534347 11584000 11968000 12308000 12336200 12603392 12742400 13538800 13569820 15420250 15754240 15790336 15928000 16310272 16777232 16923500 16962275 17329664 17408000 18534400 19148800 19692800 19737920 20387840 20971540 21662080 21711712 22328522 23068694 23168000 23936000 24616000 24672400 25206784 25484800 26214425 27077600 27139640 30840500 31508480 31580672 31856000 33554464 33847000 33924550 34659328 37068800 38297600 39385600 39475840 40775680 41943080 43324160 43423424 44657044 46137388 46336000 47872000 49232000 49344800 50969600 52428850 54155200 54279280 55821305 57671735 61681000 63016960 63161344 63712000 67108928 67694000 67849100 69318656 78771200 78951680 81551360 83886160 84811375 86648320 86846848 89314088 92274776 92672000 95744000 98464000 98689600 101939200 104857700 108310400 108558560 111642610 115343470 122806871 123362000 126033920 126322688 127424000 131072125 134217856 135388000 135698200 138637312 157542400 157903360 167772320 169622750 173296640 173693696 178628176 184549552 185344000 189792437 191488000 196928000 197379200 203878400 209715400 216620800 217117120 223285220 230686940 245613742 246724000 252645376 254848000 262144250 268435712 270776000 271396400 277274624 279106525 288358675 315084800 315806720 335544640 339245500 346593280 347387392 357256352 369099104 379584874 393856000 394758400 407756800 419430800 433241600 434234240 446570440 461373880 491227484 493448000 505290752 509696000 524288500 536871424 541552000 542792800 558213050 576717350 614034355 630169600 631613440 671089280 678491000 693186560 694774784 714512704 738198208 759169748 787712000 789516800 838861600 866483200 868468480 893140880 922747760 948962185 982454968 986896000 1019392000 1048577000 1073742848 1083104000 1085585600 1116426100 1153434700 1228068710 1263226880 1342178560 1356982000 1386373120 1389549568 1395532625 1429025408 1441793375 1476396416 1518339496 1575424000 1579033600 1677723200 1732966400 1736936960 1786281760 1845495520 1897924370 1964909936 1973792000 2038784000 2087716807 2097154000 2147485696 2166208000 2171171200 2232852200 2306869400 2456137420 2526453760 2684357120 2713964000 2779099136 2791065250 2858050816 2883586750 2952792832 3036678992 3070171775 3150848000 3158067200 3355446400 3465932800 3473873920 3572563520 3690991040 3795848740 3929819872 3947584000 4175433614 4194308000 4294971392 4332416000 4342342400 4465704400 4613738800 4744810925 4912274840 5368714240 5427928000 5558198272 5582130500 5716101632 5767173500 5905585664 6073357984 6140343550 6316134400 6710892800 6931865600 6947747840 7145127040 7381982080 7591697480 7859639744 7895168000 8350867228 8388616000 8589942784 8664832000 8684684800 8931408800 9227477600 9489621850 9824549680 10438584035 10737428480 10855856000 11164261000 11432203264 11534347000 11811171328 12146715968 12280687100 12632268800 13421785600 13895495680 14290254080 14763964160 15183394960 15350858875 15719279488 15790336000 16701734456 16777232000 17329664000 17369369600 17862817600 18454955200 18979243700 19649099360 20877168070 21474856960 21711712000 22328522000 22864406528 23068694000 23622342656 23724054625 24293431936 24561374200 26843571200 27790991360 28580508160 29527928320 30366789920 30701717750 31438558976 31580672000 33403468912 33554464000 34659328000 34738739200 35725635200 36909910400 37958487400 39298198720 41754336140 42949713920 43423424000 44657044000 45728813056 46137388000 47244685312 47448109250 48586863872 49122748400 52192920175 53687142400 57161016320 59055856640 60733579840 61403435500 62877117952 63161344000 66806937824 67108928000 69477478400 71451270400 73819820800 75916974800 78596397440 83508672280 86846848000 89314088000 91457626112 92274776000 94489370624 94896218500 97173727744 98245496800 104385840350 107374284800 114322032640 118111713280 121467159680 122806871000 125754235904 133613875648 134217856000 138954956800 142902540800 147639641600 151833949600 157192794880 167017344560 173693696000 178628176000 184549552000 189792437000 194347455488 196490993600 208771680700 214748569600 228644065280 236223426560 242934319360 245613742000 251508471808 260964600875 267227751296 268435712000 285805081600 295279283200 303667899200 314385589760 334034689120 347387392000 357256352000 369099104000 379584874000 388694910976 392981987200 417543361400 457288130560 472446853120 485868638720 491227484000 503016943616 521929201750 534455502592 536871424000 571610163200 590558566400 607335798400 628771179520 668069378240 694774784000 714512704000 738198208000 759169748000 777389821952 785963974400 835086722800 971737277440 982454968000 1006033887232 1043858403500 1068911005184 1073742848000 1143220326400 1181117132800 1214671596800 1257542359040 1336138756480 1429025408000 1476396416000 1518339496000 1554779643904 1571927948800 1670173445600 1943474554880 1964909936000 2087716807000 2137822010368 2286440652800 2362234265600 2429343193600 2515084718080 2672277512960 2858050816000 2952792832000 3036678992000 3143855897600 3340346891200 3886949109760 3929819872000 4175433614000 4275644020736 4858686387200 5030169436160 5344555025920 5716101632000 5905585664000 6073357984000 6287711795200 6680693782400 7773898219520 7859639744000 8350867228000 8551288041472 9717372774400 10689110051840 11432203264000 11811171328000 12146715968000 12575423590400 13361387564800 15719279488000 16701734456000 17102576082944 19434745548800 21378220103680 24293431936000 25150847180800 26722775129600 31438558976000 33403468912000 38869491097600 42756440207360 48586863872000 53445550259200 62877117952000 66806937824000 85512880414720 97173727744000 106891100518400 125754235904000 133613875648000 194347455488000 213782201036800 267227751296000 427564402073600 534455502592000 1068911005184000 2137822010368000
- Sum of all divisors σ(n): 6197287095522432
- Sum of proper divisors (its aliquot sum) s(n): 4059465085154432
- 2137822010368000 is an abundant number, because the sum of its proper divisors (4059465085154432) is greater than itself. Its abundance is 1921643074786432
Bases of 2137822010368000
- Binary: 1111001100001010110011110011000010101100000000000002
- Hexadecimal: 0x7985679856000
- Base-36: L1SLVG1LOG
Squares and roots of 2137822010368000
- 2137822010368000 squared (21378220103680002) is 4570282948013877099495424000000
- 2137822010368000 cubed (21378220103680003) is 9770451479873616373605384094096556032000000000
-
The
square root of 2137822010368000 is 46236587.3564215379 -
The
cube root of 2137822010368000 is 128822.1415736923
Scales and comparisons
How big is 2137822010368000?- 2,137,822,010,368,000 seconds is equal to 67,976,127 years, 11 weeks, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 2,137,822,010,368,000 would take you about two hundred three million, nine hundred twenty-eight thousand, three hundred eighty-one 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 2137822010368000 cubic inches would be around 10735.2 feet tall.
Recreational maths with 2137822010368000
- 2137822010368000 backwards is 0008630102287312
- The number of decimal digits it has is: 16
- The sum of 2137822010368000's digits is 43
- More coming soon!
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