1338072084096
1,338,072,084,096 is an even composite number composed of seven prime numbers multiplied together.
1338072084096 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1338072084096:
27 × 3 × 112 × 31 × 61 × 97 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 31 × 61 × 97 × 157)See below for interesting mathematical facts about the number 1338072084096 from the Numbermatics database.
Names of 1338072084096
- Cardinal: 1338072084096 can be written as One trillion, three hundred thirty-eight billion, seventy-two million, eighty-four thousand and ninety-six.
Scientific notation
- Scientific notation: 1.338072084096 × 1012
Factors of 1338072084096
Divisors of 1338072084096
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 61 62 64 66 88 93 96 97 121 122 124 128 132 157 176 183 186 192 194 242 244 248 264 291 314 341 352 363 366 372 384 388 471 484 488 496 528 582 628 671 682 704 726 732 744 776 942 968 976 992 1023 1056 1067 1164 1256 1342 1364 1408 1452 1464 1488 1552 1727 1884 1891 1936 1952 1984 2013 2046 2112 2134 2328 2512 2684 2728 2904 2928 2976 3007 3104 3201 3454 3751 3768 3782 3872 3904 3968 4026 4092 4224 4268 4656 4867 5024 5181 5368 5456 5673 5808 5856 5917 5952 6014 6208 6402 6908 7381 7502 7536 7564 7744 7808 8052 8184 8536 9021 9312 9577 9734 10048 10362 10736 10912 11253 11346 11616 11712 11737 11834 11904 12028 12416 12804 13816 14601 14762 15004 15072 15128 15229 15488 16104 16368 17072 17751 18042 18624 18997 19154 19468 20096 20724 20801 21472 21824 22143 22506 22692 23232 23424 23474 23668 24056 25608 27632 28731 29202 29524 30008 30144 30256 30458 32208 32736 33077 34144 35211 35502 36084 37248 37994 38308 38936 41448 41602 42944 43648 44286 45012 45384 45687 46464 46948 47336 48112 51216 53537 55264 56991 57462 58404 59048 60016 60288 60512 60916 62403 64416 65087 65472 66154 68288 70422 71004 72168 75988 76616 77872 82896 83204 85888 88572 90024 90768 91374 93896 94672 96224 99231 102432 105347 107074 110528 113982 114924 116808 118096 120032 121024 121832 124806 128832 130174 130944 132308 136576 140844 142008 144336 151976 153232 155744 160611 165792 166408 167519 177144 180048 181536 182748 183427 187792 189344 192448 195261 198462 204864 210694 214148 221056 227964 228811 229848 233616 236192 240064 242048 243664 249612 257664 260348 264616 281688 284016 288672 296887 303952 306464 311488 316041 321222 331584 332816 335038 354288 360096 363072 363847 365496 366854 375584 378688 384896 390522 396924 409728 421388 428296 455928 457622 459696 467232 472099 472384 480128 487328 499224 502557 520696 529232 550281 563376 568032 577344 588907 593774 607904 612928 622976 632082 642444 663168 665632 670076 686433 708576 715957 720192 726144 727694 730992 733708 751168 757376 781044 793848 842776 856592 890661 911856 915244 919392 928969 934464 944198 944768 974656 998448 1005114 1041392 1058464 1091541 1100562 1126752 1136064 1154688 1158817 1177814 1187548 1215808 1225856 1264164 1284888 1331264 1340152 1372866 1416297 1417152 1431914 1440384 1455388 1461984 1467416 1502336 1562088 1587696 1685552 1713184 1766721 1781322 1823712 1830488 1838784 1842709 1857938 1868928 1888396 1949312 1996896 2010228 2017697 2082784 2116928 2147871 2183082 2201124 2253504 2272128 2317634 2355628 2375096 2431616 2528328 2569776 2662528 2680304 2745732 2786907 2832594 2834304 2863828 2910776 2923968 2934832 3124176 3175392 3265757 3371104 3426368 3476451 3533442 3562644 3647424 3660976 3677568 3685418 3715876 3776792 3993792 4020456 4035394 4165568 4233856 4295742 4366164 4402248 4507008 4635268 4711256 4750192 5056656 5139552 5193089 5360608 5491464 5528127 5573814 5665188 5727656 5821552 5847936 5869664 6053091 6248352 6350784 6531514 6742208 6852736 6952902 7066884 7125288 7294848 7321952 7370836 7431752 7553584 7987584 8040912 8070788 8331136 8591484 8732328 8804496 9270536 9422512 9500384 9797271 10113312 10218659 10279104 10386178 10721216 10982928 11056254 11147628 11330376 11455312 11643104 11739328 12106182 12496704 12701568 13063028 13484416 13905804 14133768 14250576 14643904 14741672 14863504 15107168 15579267 16081824 16141576 17182968 17464656 17608992 18541072 18845024 19000768 19594542 20226624 20437318 20558208 20772356 21442432 21965856 22112508 22194667 22295256 22660752 22910624 23286208 23478656 24212364 24993408 26126056 27811608 28267536 28501152 28798039 29287808 29483344 29727008 30214336 30655977 31158534 32163648 32283152 34365936 34929312 35217984 35923327 37082144 37690048 38001536 39189084 40453248 40874636 41544712 43931712 44225016 44389334 44590512 45321504 45821248 46572416 48424728 52252112 55623216 56535072 57002304 57123979 57596078 58966688 59454016 60428672 61311954 62317068 64327296 64566304 66584001 68731872 69858624 70435968 71846654 74164288 75380096 78378168 81749272 83089424 86394117 87863424 88450032 88778668 89181024 90643008 91642496 96849456 104504224 107769981 111246432 112405249 113070144 114004608 114247958 115192156 117933376 118908032 122623908 124634136 129132608 133168002 137463744 139717248 143693308 148328576 156756336 163498544 166178848 171371937 172788234 176900064 177557336 178362048 181286016 193698912 209008448 215539962 222492864 224810498 226140288 228495916 230384312 235866752 245247816 249268272 258265216 266336004 274927488 287386616 313512672 316778429 326997088 332357696 337215747 342743874 345576468 353800128 355114672 356724096 387397824 418016896 431079924 444985728 449620996 456991832 460768624 490495632 498536544 532672008 574773232 627025344 633556858 653994176 664715392 674431494 685487748 691152936 707600256 710229344 774795648 862159848 899241992 913983664 921537248 950335287 980991264 997073088 1065344016 1149546464 1254050688 1267113716 1307988352 1348862988 1370975496 1382305872 1420458688 1724319696 1798483984 1827967328 1843074496 1900670574 1961982528 1994146176 2130688032 2299092928 2534227432 2697725976 2741950992 2764611744 2840917376 3448639392 3484562719 3596967968 3655934656 3686148992 3801341148 3923965056 4261376064 4598185856 5068454864 5395451952 5483901984 5529223488 6897278784 6969125438 7193935936 7311869312 7602682296 8522752128 10136909728 10453688157 10790903904 10967803968 11058446976 13794557568 13938250876 14387871872 15205364592 20273819456 20907376314 21581807808 21935607936 27876501752 30410729184 40547638912 41814752628 43163615616 55753003504 60821458368 83629505256 111506007008 121642916736 167259010512 223012014016 334518021024 446024028032 669036042048 1338072084096
- Sum of all divisors σ(n): 4167509928960
- Sum of proper divisors (its aliquot sum) s(n): 2829437844864
- 1338072084096 is an abundant number, because the sum of its proper divisors (2829437844864) is greater than itself. Its abundance is 1491365760768
Bases of 1338072084096
- Binary: 100110111100010110100111110101110100000002
- Hexadecimal: 0x1378B4FAE80
- Base-36: H2P9KJUO
Squares and roots of 1338072084096
- 1338072084096 squared (13380720840962) is 1790436902237012896137216
- 1338072084096 cubed (13380720840963) is 2395733637218666050483953401107316736
-
The
square root of 1338072084096 is 1156750.6577028603 -
The
cube root of 1338072084096 is 11019.4479212843
Scales and comparisons
How big is 1338072084096?- 1,338,072,084,096 seconds is equal to 42,546 years, 28 weeks, 5 days, 10 hours, 1 minute, 36 seconds.
-
To count from 1 to 1,338,072,084,096 would take you about one hundred six thousand, three hundred sixty-six 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 1338072084096 cubic inches would be around 918.3 feet tall.
Recreational maths with 1338072084096
- 1338072084096 backwards is 6904802708331
- The number of decimal digits it has is: 13
- The sum of 1338072084096's digits is 51
- More coming soon!
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