1006214640465996
1,006,214,640,465,996 is an even composite number composed of five prime numbers multiplied together.
What does the number 1006214640465996 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 672 divisors.
1006214640465996 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 1006214640465996:
22 × 36 × 13 × 193 × 1573
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 19 × 19 × 157 × 157 × 157)See below for interesting mathematical facts about the number 1006214640465996 from the Numbermatics database.
Names of 1006214640465996
- Cardinal: 1006214640465996 can be written as One quadrillion, six trillion, two hundred fourteen billion, six hundred forty million, four hundred sixty-five thousand, nine hundred ninety-six.
Scientific notation
- Scientific notation: 1.006214640465996 × 1015
Factors of 1006214640465996
Divisors of 1006214640465996
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 157 162 171 228 234 243 247 314 324 342 351 361 468 471 486 494 513 628 684 702 722 729 741 942 972 988 1026 1053 1083 1404 1413 1444 1458 1482 1539 1884 2041 2052 2106 2166 2223 2826 2916 2964 2983 3078 3159 3249 4082 4212 4239 4332 4446 4617 4693 5652 5966 6123 6156 6318 6498 6669 6859 8164 8478 8892 8949 9234 9386 9477 9747 11932 12246 12636 12717 12996 13338 13718 13851 14079 16956 17898 18369 18468 18772 18954 19494 20007 20577 24492 24649 25434 26676 26847 27436 27702 28158 29241 35796 36738 37908 38151 38779 38988 40014 41154 42237 49298 50868 53694 55107 55404 56316 56677 58482 60021 61731 73476 73947 76302 77558 80028 80541 82308 84474 87723 89167 98596 107388 110214 113354 114453 116337 116964 120042 123462 126711 147894 152604 155116 161082 165321 168948 170031 175446 178334 180063 185193 220428 221841 226708 228906 232674 240084 241623 246924 253422 263169 267501 295788 320437 322164 330642 340062 349011 350892 356668 360126 370386 380133 443682 457812 465348 468331 483246 495963 506844 510093 526338 535002 555579 640874 661284 665523 680124 698022 720252 724869 736801 740772 760266 802503 887364 936662 961311 966492 991926 1020186 1047033 1052676 1070004 1076863 1111158 1140399 1281748 1331046 1396044 1404993 1449738 1473602 1487889 1520532 1530279 1605006 1666737 1873324 1922622 1983852 1996569 2040372 2094066 2153726 2174607 2210403 2222316 2280798 2407509 2662092 2809986 2883933 2899476 2947204 2975778 3060558 3141099 3210012 3230589 3333474 3421197 3845244 3869893 3993138 4188132 4214979 4307452 4349214 4420806 4561596 4590837 4815018 5000211 5619972 5767866 5951556 5989707 6088303 6121116 6282198 6461178 6631209 6666948 6842394 7222527 7739786 7986276 8429958 8651799 8698428 8841612 8898289 9181674 9423297 9630036 9691767 10000422 11535732 11609679 11979414 12176606 12564396 12644937 12922356 13262418 13684788 13772511 13999219 14445054 15479572 16859916 17303598 17796578 17969121 18264909 18363348 18846594 19383534 19893627 20000844 21667581 23219358 23958828 24353212 25289874 25955397 26524836 26694867 27545022 27998438 28269891 28890108 29075301 34607196 34829037 35593156 35938242 36529818 37693188 37934811 38767068 39787254 41317533 41997657 43335162 46438716 50308609 50579748 51910794 53389734 54794727 55090044 55996876 56539782 58150602 59680881 65002743 69658074 71876484 73059636 73527967 75869622 77866191 79574508 80084601 82635066 83995314 86670324 87225903 100617218 103821588 104487111 106779468 109589454 113079564 113804433 115677757 116301204 119361762 125992971 130005486 139316148 147055934 150925827 151739244 155732382 160169202 164384181 165270132 167990628 169067491 174451806 179042643 201234436 208974222 219178908 220583901 227608866 231355514 233598573 238723524 240253803 251985942 260010972 261677709 294111868 301851654 311464764 313461333 320338404 328768362 338134982 341413299 347033271 348903612 358085286 377978913 417948444 441167802 452777481 455217732 462711028 467197146 480507606 493152543 503971884 507202473 523355418 537127929 603703308 626922666 657536724 661751703 676269964 682826598 694066542 716170572 720761409 755957826 785033127 882335604 905554962 934394292 940383999 955863571 961015212 986305086 1014404946 1041099813 1046710836 1074255858 1133936739 1253845332 1323503406 1358332443 1365653196 1388133084 1397031373 1441522818 1479457629 1511915652 1521607419 1570066254 1811109924 1880767998 1911727142 1972610172 1985255109 2028809892 2082199626 2148511716 2162284227 2197877383 2267873478 2647006812 2716664886 2794062746 2821151997 2867590713 2883045636 2958915258 3043214838 3123299439 3140132508 3401810217 3761535996 3823454284 3970510218 4074997329 4164399252 4191094119 4324568454 4395754766 4438372887 4535746956 4564822257 5433329772 5588125492 5642303994 5735181426 5917830516 5955765327 6086429676 6246598878 6486852681 6593632149 6803620434 7941020436 8149994658 8382188238 8602772139 8649136908 8791509532 8876745774 9129644514 9369898317 10205430651 11284607988 11470362852 11911530654 12224991987 12493197756 12573282357 12973705362 13187264298 13607240868 13694466771 16299989316 16764376476 17205544278 17753491548 17867295981 18161407849 18259289028 18739796634 19780896447 20410861302 23823061308 24449983974 25146564714 25808316417 25947410724 26374528596 26543596087 27388933542 28109694951 34411088556 35734591962 36322815698 36674975961 37479593268 37719847071 39561792894 40821722604 41083400313 48899967948 50293129428 51616632834 53087192174 53601887943 54484223547 54777867084 56219389902 59342689341 71469183924 72645631396 73349951922 75439694142 77424949251 79123585788 79630788261 82166800626 84329084853 103233265668 106174384348 107203775886 108968447094 112438779804 113159541213 118685378682 123250200939 146699903844 150879388284 154849898502 159261576522 163452670641 164333601252 168658169706 178028068023 214407551772 217936894188 226319082426 232274847753 237370757364 238892364783 246500401878 309699797004 318523153044 326905341282 337316339412 339478623639 345066749131 356056136046 452638164852 464549695506 477784729566 490358011923 493000803756 534084204069 653810682564 678957247278 690133498262 696824543259 712112272092 716677094349 929099391012 955569459132 980716023846 1018435870917 1035200247393 1068168408138 1357914494556 1380266996524 1393649086518 1433354188698 1471074035769 1602252612207 1961432047692 2036871741834 2070400494786 2136336816276 2150031283047 2787298173036 2866708377396 2942148071538 3105600742179 3204505224414 4073743483668 4140800989572 4300062566094 4413222107307 5884296143076 6211201484358 6409010448828 6450093849141 8600125132188 8826444214614 9316802226537 12422402968716 12900187698282 13239666321921 17652888429228 18633604453074 19350281547423 25800375396564 26479332643842 27950406679611 37267208906148 38700563094846 52958665287684 55900813359222 77401126189692 83851220038833 111801626718444 167702440077666 251553660116499 335404880155332 503107320232998 1006214640465996
- Sum of all divisors σ(n): 3020360725592000
- Sum of proper divisors (its aliquot sum) s(n): 2014146085126004
- 1006214640465996 is an abundant number, because the sum of its proper divisors (2014146085126004) is greater than itself. Its abundance is 1007931444660008
Bases of 1006214640465996
- Binary: 111001001100100101100110100011011001111000010011002
- Hexadecimal: 0x393259A36784C
- Base-36: 9WO8MH8OR0
Squares and roots of 1006214640465996
- 1006214640465996 squared (10062146404659962) is 1012467902688113594980032272016
- 1006214640465996 cubed (10062146404659963) is 1018760026686681246032989162581276632870367936
-
The
square root of 1006214640465996 is 31720886.5018932911 -
The
cube root of 1006214640465996 is 100206.7270270727
Scales and comparisons
How big is 1006214640465996?- 1,006,214,640,465,996 seconds is equal to 31,994,513 years, 7 weeks, 2 days, 4 hours, 6 minutes, 36 seconds.
-
To count from 1 to 1,006,214,640,465,996 would take you about ninety-five million, nine hundred eighty-three thousand, five 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 1006214640465996 cubic inches would be around 8350.6 feet tall.
Recreational maths with 1006214640465996
- 1006214640465996 backwards is 6995640464126001
- The number of decimal digits it has is: 16
- The sum of 1006214640465996's digits is 63
- More coming soon!
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