13972746062016
13,972,746,062,016 is an even composite number composed of seven prime numbers multiplied together.
13972746062016 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 13972746062016:
26 × 33 × 7 × 31 × 101 × 137 × 2693
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 31 × 101 × 137 × 2693)See below for interesting mathematical facts about the number 13972746062016 from the Numbermatics database.
Names of 13972746062016
- Cardinal: 13972746062016 can be written as Thirteen trillion, nine hundred seventy-two billion, seven hundred forty-six million, sixty-two thousand and sixteen.
Scientific notation
- Scientific notation: 1.3972746062016 × 1013
Factors of 13972746062016
Divisors of 13972746062016
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 64 72 84 93 96 101 108 112 124 126 137 144 168 186 189 192 202 216 217 224 248 252 274 279 288 303 336 372 378 404 411 432 434 448 496 504 548 558 576 606 651 672 707 744 756 808 822 837 864 868 909 959 992 1008 1096 1116 1212 1233 1302 1344 1414 1488 1512 1616 1644 1674 1728 1736 1818 1918 1953 1984 2016 2121 2192 2232 2424 2466 2604 2693 2727 2828 2877 2976 3024 3131 3232 3288 3348 3472 3636 3699 3836 3906 4032 4242 4247 4384 4464 4848 4932 5208 5386 5454 5656 5754 5859 5952 6048 6262 6363 6464 6576 6696 6944 7272 7398 7672 7812 8079 8484 8494 8631 8768 8928 9393 9696 9864 10416 10772 10908 11312 11508 11718 12096 12524 12726 12741 13152 13392 13837 13888 14544 14796 15344 15624 16158 16968 16988 17262 17856 18786 18851 19089 19392 19728 20832 21544 21816 21917 22624 23016 23436 24237 25048 25452 25482 25893 26304 26784 27674 28179 29088 29592 29729 30688 31248 32316 33936 33976 34524 37572 37702 38178 38223 39456 41511 41664 43088 43632 43834 45248 46032 46872 48474 50096 50904 50964 51786 53568 55348 56358 56553 58176 59184 59458 61376 62496 64632 65751 67872 67952 69048 72711 75144 75404 76356 76446 78912 83022 83483 84537 86176 87264 87668 89187 92064 93744 96859 96948 100192 101808 101928 103572 110696 112716 113106 114669 118368 118916 124533 124992 129264 131502 135744 135904 138096 145422 150288 150808 152712 152892 166044 166966 169074 169659 172352 174528 175336 178374 184128 187488 193718 193896 197253 200384 203616 203856 207144 221392 225432 226212 229338 236736 237832 249066 250449 258528 263004 267561 271808 271993 276192 290577 290844 300576 301616 305424 305784 332088 333932 338148 339318 350672 356748 368941 373599 374976 387436 387792 394506 407232 407712 414288 428947 442784 450864 452424 458676 475664 498132 500898 508977 517056 526008 535122 543986 552384 581154 581688 584381 591759 601152 603232 610848 611568 664176 667864 676296 678636 701344 713496 737882 747198 751347 774872 775584 789012 802683 815424 815979 828576 857894 871731 885568 901728 904848 917352 951328 996264 1001796 1017954 1052016 1070244 1087972 1106823 1162308 1163376 1168762 1183518 1206464 1221696 1223136 1286841 1328352 1335728 1352592 1357272 1402688 1426992 1475764 1494396 1502694 1549744 1551168 1578024 1605366 1631958 1657152 1715788 1743462 1753143 1803456 1809696 1834704 1902656 1903951 1992528 2003592 2035908 2104032 2140488 2175944 2213646 2254041 2324616 2326752 2337524 2367036 2446272 2447937 2573682 2582587 2615193 2656704 2671456 2705184 2714544 2853984 2951528 2988792 3002629 3005388 3099488 3156048 3210732 3263916 3320469 3431576 3486924 3506286 3619392 3669408 3807902 3860523 3985056 4007184 4071816 4208064 4280976 4351888 4427292 4508082 4649232 4653504 4675048 4734072 4895874 5147364 5165174 5230386 5259429 5342912 5410368 5429088 5707968 5711853 5903056 5977584 6005258 6010776 6198976 6312096 6421464 6527832 6640938 6863152 6973848 7012572 7338816 7343811 7615804 7721046 7747761 7970112 8014368 8143632 8431783 8561952 8703776 8854584 9007887 9016164 9298464 9350096 9468144 9791748 9961407 10294728 10330348 10460772 10518858 10858176 11423706 11437171 11581569 11806112 11955168 12010516 12021552 12624192 12842928 13055664 13281876 13726304 13947696 14025144 14687622 15231608 15442092 15495522 15778287 16028736 16287264 16863566 17123904 17135559 17407552 17709168 18015774 18032328 18596928 18700192 18936288 19583496 19922814 20589456 20660696 20921544 21037716 22847412 22874342 23163138 23243283 23612224 23910336 24021032 24043104 25295349 25685856 26111328 26563752 27023661 27452608 27895392 28050288 29375244 30463216 30884184 30991044 31556574 32574528 33727132 34271118 34311513 35418336 36031548 36064656 37263041 37400384 37872576 39166992 39845628 41178912 41321392 41843088 42075432 45694824 45748684 46326276 46486566 48042064 48086208 50590698 51371712 51406677 52222656 53127504 54047322 55790784 56100576 58750488 59022481 60926432 61768368 61982088 63113148 67454264 68542236 68623026 69729849 70836672 72063096 72129312 74526082 75886047 78333984 79691256 80060197 81070983 82357824 82642784 83686176 84150864 91389648 91497368 92652552 92973132 96084128 101181396 102813354 102934539 106255008 108094644 111789123 112201152 117500976 118044962 121852864 123536736 123964176 126226296 134908528 137084472 137246052 139459698 144126192 144258624 149052164 151772094 156667968 159382512 160120394 162141966 165285568 167372352 168301728 177067443 182779296 182994736 185305104 185946264 192168256 202362792 205626708 205869078 212510016 216189288 223578246 227658141 235001952 236089924 240180591 247073472 247928352 252452592 260841287 269817056 274168944 274492104 278919396 288252384 298104328 303544188 308803617 318765024 320240788 324283932 335367369 336603456 354134886 365558592 365989472 370610208 371892528 404725584 411253416 411738156 432378576 447156492 455316282 470003904 472179848 480361182 495856704 504905184 521682574 531202329 539634112 548337888 548984208 557838792 576504768 596208656 607088376 617607234 637530048 640481576 648567864 670734738 708269772 720541773 731978944 741220416 743785056 782523861 809451168 822506832 823476312 864757152 894312984 910632564 944359696 960722364 1006102107 1009810368 1043365148 1062404658 1096675776 1097968416 1115677584 1155154271 1192417312 1214176752 1235214468 1280963152 1297135728 1341469476 1416539544 1441083546 1487570112 1565047722 1593606987 1618902336 1645013664 1646952624 1729514304 1788625968 1821265128 1888719392 1921444728 2012204214 2086730296 2124809316 2161625319 2195936832 2231355168 2310308542 2347571583 2384834624 2428353504 2470428936 2561926304 2594271456 2682938952 2833079088 2882167092 3130095444 3187213974 3290027328 3293905248 3465462813 3577251936 3642530256 3777438784 3842889456 4024408428 4173460592 4249618632 4323250638 4462710336 4620617084 4695143166 4856707008 4940857872 5123852608 5188542912 5365877904 5666158176 5764334184 6260190888 6374427948 6587810496 6930925626 7042714749 7154503872 7285060512 7685778912 8048816856 8086079897 8346921184 8499237264 8646501276 9241234168 9390286332 9881715744 10396388439 10731755808 11332316352 11528668368 12520381776 12748855896 13861851252 14085429498 14570121024 15371557824 16097633712 16172159794 16693842368 16998474528 17293002552 18482468336 18780572664 19763431488 20792776878 21463511616 23057336736 24258239691 25040763552 25497711792 27723702504 28170858996 31189165317 32195267424 32344319588 33996949056 34586005104 36964936672 37561145328 41585553756 46114673472 48516479382 50081527104 50995423584 55447405008 56341717992 62378330634 64390534848 64688639176 69172010208 72774719073 73929873344 75122290656 83171107512 97032958764 101990847168 110894810016 112683435984 124756661268 129377278352 138344020416 145549438146 150244581312 166342215024 194065917528 218324157219 221789620032 225366871968 249513322536 258754556704 291098876292 332684430048 388131835056 436648314438 450733743936 499026645072 517509113408 582197752584 665368860096 776263670112 873296628876 998053290144 1164395505168 1552527340224 1746593257752 1996106580288 2328791010336 3493186515504 4657582020672 6986373031008 13972746062016
- Sum of all divisors σ(n): 49315169157120
- Sum of proper divisors (its aliquot sum) s(n): 35342423095104
- 13972746062016 is an abundant number, because the sum of its proper divisors (35342423095104) is greater than itself. Its abundance is 21369677033088
Bases of 13972746062016
- Binary: 110010110101010010001001000011001000110000002
- Hexadecimal: 0xCB54890C8C0
- Base-36: 4YAZO8MO0
Squares and roots of 13972746062016
- 13972746062016 squared (139727460620162) is 195237632513583635717984256
- 13972746062016 cubed (139727460620163) is 2728005860861502709606324393773487620096
-
The
square root of 13972746062016 is 3738013.6519301263 -
The
cube root of 13972746062016 is 24085.7729899109
Scales and comparisons
How big is 13972746062016?- 13,972,746,062,016 seconds is equal to 444,290 years, 5 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,972,746,062,016 would take you about one million, one hundred ten thousand, seven hundred twenty-five 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 13972746062016 cubic inches would be around 2007.1 feet tall.
Recreational maths with 13972746062016
- 13972746062016 backwards is 61026064727931
- 13972746062016 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13972746062016's digits is 54
- More coming soon!
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"Number 13972746062016 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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The information we have on file for 13972746062016 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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