13138827561216
13,138,827,561,216 is an even composite number composed of six prime numbers multiplied together.
13138827561216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13138827561216:
28 × 33 × 73 × 19 × 31 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 19 × 31 × 97 × 97)See below for interesting mathematical facts about the number 13138827561216 from the Numbermatics database.
Names of 13138827561216
- Cardinal: 13138827561216 can be written as Thirteen trillion, one hundred thirty-eight billion, eight hundred twenty-seven million, five hundred sixty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.3138827561216 × 1013
Factors of 13138827561216
Divisors of 13138827561216
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 31 32 36 38 42 48 49 54 56 57 62 63 64 72 76 84 93 96 97 98 108 112 114 124 126 128 133 144 147 152 168 171 186 189 192 194 196 216 217 224 228 248 252 256 266 279 288 291 294 304 336 342 343 372 378 384 388 392 399 432 434 441 448 456 496 504 513 532 558 576 582 588 589 608 651 672 679 684 686 744 756 768 776 784 798 837 864 868 873 882 896 912 931 992 1008 1026 1029 1064 1116 1152 1164 1176 1178 1197 1216 1302 1323 1344 1358 1368 1372 1488 1512 1519 1552 1568 1596 1674 1728 1736 1746 1764 1767 1792 1824 1843 1862 1953 1984 2016 2037 2052 2058 2128 2232 2304 2328 2352 2356 2394 2432 2604 2619 2646 2688 2716 2736 2744 2793 2976 3007 3024 3038 3087 3104 3136 3192 3348 3456 3472 3492 3528 3534 3591 3648 3686 3724 3906 3968 4032 4074 4104 4116 4123 4256 4464 4557 4656 4704 4712 4753 4788 4864 5208 5238 5292 5301 5376 5432 5472 5488 5529 5586 5859 5952 6014 6048 6076 6111 6174 6208 6272 6384 6517 6696 6912 6944 6984 7056 7068 7182 7296 7372 7448 7812 7936 8064 8148 8208 8232 8246 8379 8512 8928 9021 9114 9261 9312 9408 9409 9424 9506 9576 10416 10476 10584 10602 10633 10864 10944 10976 11058 11172 11718 11904 12028 12096 12152 12222 12348 12369 12416 12544 12768 12901 13034 13392 13671 13888 13968 14112 14136 14259 14364 14592 14744 14896 15624 15903 16128 16296 16416 16464 16492 16587 16758 17024 17856 18042 18228 18333 18522 18624 18816 18818 18848 19012 19152 19551 20832 20952 21049 21168 21204 21266 21728 21888 21952 22116 22344 23436 23808 24056 24192 24304 24444 24696 24738 24832 25137 25536 25802 26068 26784 27063 27342 27776 27936 28224 28227 28272 28518 28728 28861 29488 29792 31248 31806 31899 32592 32832 32928 32984 33174 33271 33516 34048 35712 36084 36456 36666 37044 37107 37248 37632 37636 37696 38024 38304 38703 39102 41013 41664 41904 42098 42336 42408 42532 42777 43456 43776 43904 44232 44688 46872 48112 48384 48608 48888 49392 49476 49761 50274 51072 51604 52136 53568 54126 54684 55552 55872 56448 56454 56544 57036 57133 57456 57722 58653 58976 59584 62496 63147 63612 63798 65184 65664 65856 65863 65968 66348 66542 67032 71424 72168 72912 73332 74088 74214 74496 75272 75392 76048 76608 77406 78204 81189 82026 83328 83808 84196 84672 84681 84816 85064 85554 86583 86912 87808 88464 89376 90307 93744 95697 96224 97216 97776 98784 98952 99522 99813 100548 102144 103208 104272 107136 108252 109368 111321 111744 112896 112908 113088 114072 114266 114912 115444 116109 117306 117952 119168 124992 126294 127224 127596 128331 130368 131328 131712 131726 131936 132696 133084 134064 144336 145824 146664 147343 148176 148428 150544 150784 152096 153216 154812 156408 162378 164052 166656 167616 168392 169344 169362 169632 170128 171108 171399 173166 173824 175959 176928 178752 178771 180614 187488 189441 191394 192448 194432 195552 197568 197589 197904 199044 199626 201096 202027 206416 208544 214272 216504 218736 222642 223488 225816 226176 228144 228532 229824 230888 232218 234612 235904 238336 249984 252588 254043 254448 255192 256662 259749 260736 263424 263452 263872 265392 266168 268128 270921 287091 288672 291648 291679 293328 294686 296352 296856 299439 301088 304192 306432 309624 312816 324756 328104 335232 336784 338688 338724 339264 340256 342216 342798 346332 348327 351918 353856 357504 357542 361228 374976 378882 382788 384896 388864 391104 395136 395178 395808 398088 399252 399931 402192 404054 412832 417088 433008 437472 442029 445284 451632 452352 456288 457064 459648 461041 461776 464436 469224 471808 499968 505176 508086 508896 510384 513324 514197 519498 521472 526904 527744 530784 532336 536256 536313 541842 568323 574182 577344 583296 583358 586656 589372 592704 592767 593712 598878 602176 606081 608384 619248 625632 632149 649512 656208 670464 673568 677448 678528 680512 684432 685596 692664 696654 703836 707712 715008 715084 722456 749952 757764 765576 769792 779247 782208 790272 790356 791616 796176 798504 799862 804384 808108 812763 825664 834176 866016 874944 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399016872 400183588 403130448 411888384 413092736 420469392 441018648 445565232 455245056 457352672 460720512 464729328 465470208 465519684 470318856 473028066 480536448 485490432 490547624 504021312 509217408 514521756 522688768 529108713 531119232 532022496 537507264 540603504 543106298 546176736 551866077 560625856 588024864 594086976 598525308 600275382 604695672 617832576 619639104 620692912 624201984 627091808 630704088 672028416 686029008 691080768 697093992 698205312 698279526 705478284 709363328 716676352 720804672 728235648 735821436 771782634 784033152 792115968 796678848 798033744 800367176 806260896 814659447 826185472 840938784 882037296 891130464 900413073 914705344 921441024 929458656 931039368 940637712 946056132 961072896 981095248 1008042624 1018434816 1029043512 1047419289 1058217426 1062238464 1064044992 1075014528 1081207008 1086212596 1092353472 1103732154 1121251712 1176049728 1188173952 1197050616 1200550764 1209391344 1235665152 1239278208 1241385824 1254183616 1261408176 1372058016 1382161536 1394187984 1396410624 1396559052 1410956568 1418726656 1441609344 1456471296 1471642872 1543565268 1568066304 1593357696 1596067488 1600734352 1612521792 1629318894 1655598231 1681877568 1764074592 1782260928 1800826146 1829410688 1858917312 1862078736 1881275424 1892112264 1900872043 1962190496 2016085248 2058087024 2094838578 2116434852 2128089984 2150029056 2162414016 2172425192 2184706944 2207464308 2242503424 2352099456 2376347904 2394101232 2401101528 2418782688 2443978341 2478556416 2482771648 2508367232 2522816352 2701239219 2744116032 2764323072 2788375968 2793118104 2821913136 2883218688 2943285744 3087130536 3186715392 3192134976 3201468704 3225043584 3258637788 3311196462 3363755136 3528149184 3564521856 3601652292 3658821376 3717834624 3724157472 3762550848 3784224528 3801744086 3924380992 4116174048 4189677156 4232869704 4256179968 4324828032 4344850384 4369413888 4414928616 4704198912 4788202464 4802203056 4837565376 4887956682 4965543296 5016734464 5045632704 5402478438 5488232064 5576751936 5586236208 5643826272 5702616129 5886571488 6174261072 6384269952 6402937408 6450087168 6517275576 6622392924 6727510272 7056298368 7129043712 7203304584 7331935023 7435669248 7448314944 7525101696 7568449056 7603488172 7848761984 8232348096 8379354312 8465739408 8649656064 8689700768 8829857232 9576404928 9604406112 9675130752 9775913364 9931086592 10091265408 10804956876 10976464128 11153503872 11172472416 11287652544 11405232258 11773142976 12348522144 12768539904 12805874816 13034551152 13244785848 14112596736 14406609168 14663870046 14896629888 15050203392 15136898112 15206976344 15697523968 16464696192 16758708624 16931478816 17107848387 17379401536 17659714464 19152809856 19208812224 19350261504 19551826728 20182530816 21609913752 22307007744 22344944832 22575305088 22810464516 23546285952 24697044288 25611749632 26069102304 26489571696 28813218336 29327740092 29793259776 30273796224 30413952688 32929392384 33517417248 33862957632 34215696774 34758803072 35319428928 38305619712 38417624448 39103653456 43219827504 44689889664 45150610176 45620929032 47092571904 49394088576 51323545161 52138204608 52979143392 57626436672 58655480184 60547592448 60827905376 67034834496 67725915264 68431393548 69517606144 70638857856 76835248896 78207306912 86439655008 89379779328 91241858064 98788177152 102647090322 104276409216 105958286784 115252873344 117310960368 121655810752 134069668992 135451830528 136862787096 141277715712 156414613824 172879310016 182483716128 205294180644 208552818432 211916573568 230505746688 234621920736 243311621504 268139337984 273725574192 312829227648 345758620032 364967432256 410588361288 423833147136 469243841472 486623243008 547451148384 625658455296 691517240064 729934864512 821176722576 938487682944 1094902296768 1459869729024 1642353445152 1876975365888 2189804593536 3284706890304 4379609187072 6569413780608 13138827561216
- Sum of all divisors σ(n): 49746708480000
- Sum of proper divisors (its aliquot sum) s(n): 36607880918784
- 13138827561216 is an abundant number, because the sum of its proper divisors (36607880918784) is greater than itself. Its abundance is 23469053357568
Bases of 13138827561216
- Binary: 101111110011000111110010011001001001000000002
- Hexadecimal: 0xBF31F264900
- Base-36: 4NNW6P1C0
Squares and roots of 13138827561216
- 13138827561216 squared (131388275612162) is 172628789683369182227398656
- 13138827561216 cubed (131388275612163) is 2268139899751211293358984574148276125696
-
The
square root of 13138827561216 is 3624752.0689305083 -
The
cube root of 13138827561216 is 23596.7507024733
Scales and comparisons
How big is 13138827561216?- 13,138,827,561,216 seconds is equal to 417,774 years, 3 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,138,827,561,216 would take you about one million, forty-four thousand, four hundred thirty-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 13138827561216 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138827561216
- 13138827561216 backwards is 61216572883131
- 13138827561216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138827561216's digits is 54
- More coming soon!
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"Number 13138827561216 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13138827561216 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13138827561216/
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The information we have on file for 13138827561216 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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