13977748946835072
13,977,748,946,835,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 13977748946835072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13977748946835072 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 13977748946835072:
27 × 33 × 7 × 172 × 612 × 7332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 17 × 61 × 61 × 733 × 733)See below for interesting mathematical facts about the number 13977748946835072 from the Numbermatics database.
Names of 13977748946835072
- Cardinal: 13977748946835072 can be written as Thirteen quadrillion, nine hundred seventy-seven trillion, seven hundred forty-eight billion, nine hundred forty-six million, eight hundred thirty-five thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3977748946835072 × 1016
Factors of 13977748946835072
Divisors of 13977748946835072
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 61 63 64 68 72 84 96 102 108 112 119 122 126 128 136 144 153 168 183 189 192 204 216 224 238 244 252 272 288 289 306 336 357 366 378 384 408 427 432 448 459 476 488 504 544 549 576 578 612 672 714 732 733 756 816 854 864 867 896 918 952 976 1008 1037 1071 1088 1098 1152 1156 1224 1281 1344 1428 1464 1466 1512 1632 1647 1708 1728 1734 1836 1904 1952 2016 2023 2074 2142 2176 2196 2199 2312 2448 2562 2601 2688 2856 2928 2932 3024 3111 3213 3264 3294 3416 3456 3468 3672 3721 3808 3843 3904 4032 4046 4148 4284 4392 4398 4624 4896 5124 5131 5202 5712 5856 5864 6048 6069 6222 6426 6528 6588 6597 6832 6936 7259 7344 7442 7616 7686 7803 7808 8064 8092 8296 8568 8784 8796 9248 9333 9792 10248 10262 10404 11163 11424 11529 11712 11728 12096 12138 12444 12461 12852 13176 13194 13664 13872 14518 14688 14884 15232 15372 15393 15606 16184 16592 17136 17568 17592 17629 18207 18496 18666 19584 19791 20496 20524 20808 21777 22326 22848 23058 23424 23456 24192 24276 24888 24922 25704 26047 26352 26388 27328 27744 27999 29036 29376 29768 30744 30786 31212 32368 33184 33489 34272 35136 35184 35258 36414 36992 37332 37383 39582 40992 41048 41616 43554 44652 44713 45696 46116 46179 46912 48552 49776 49844 51408 52094 52704 52776 52887 54621 54656 55488 55998 58072 58752 59536 61488 61572 62424 63257 64736 65331 66368 66978 68544 70272 70368 70516 72828 74664 74766 78141 79164 81984 82096 83232 87108 87227 89304 89426 92232 92358 93824 97104 99552 99688 100467 102816 104188 105408 105552 105774 109242 110976 111996 112149 116144 119072 122976 123144 123403 124848 126514 129472 130662 132736 133956 134139 137088 138537 140736 141032 145656 149328 149532 156282 158328 158661 163968 164192 166464 174216 174454 178608 178852 184464 184716 189771 194208 195993 199104 199376 200934 205632 208376 210816 211104 211548 211837 218484 223992 224298 232288 234423 238144 245952 246288 246806 249696 253028 258944 261324 261681 267912 268278 277074 281472 282064 291312 298656 299064 312564 312991 316656 317322 328384 332928 336447 348432 348908 357216 357704 368928 369432 370209 379542 388416 391986 398208 398752 401868 402417 411264 416752 422208 423096 423674 436968 442799 447984 448596 464576 468846 475983 476288 491904 492576 493612 499392 506056 522648 523362 535824 536556 537289 554148 564128 569313 582624 597312 598128 625128 625982 633312 634644 635511 656768 672894 696864 697816 703269 714432 715408 737856 738864 740418 759084 760121 776832 783972 785043 797504 803736 804834 833504 844416 846192 847348 873936 885598 895968 897192 929152 937692 938973 951966 985152 987224 998784 1012112 1045296 1046724 1071648 1073112 1074578 1075369 1108296 1110627 1128256 1138626 1165248 1194624 1196256 1207251 1250256 1251964 1266624 1269288 1271022 1328397 1345788 1393728 1395632 1406538 1428864 1430816 1475712 1477728 1480836 1482859 1518168 1520242 1567944 1570086 1595008 1607472 1609668 1611867 1667008 1692384 1694696 1707939 1747872 1771196 1791936 1794384 1875384 1877946 1903932 1906533 1970304 1974448 2024224 2090592 2093448 2143296 2146224 2149156 2150738 2216592 2221254 2256512 2277252 2280363 2330496 2355129 2392512 2414502 2500512 2503928 2533248 2538576 2542044 2656794 2691576 2727493 2787456 2791264 2813076 2816919 2861632 2955456 2961672 2965718 3036336 3040484 3135888 3140172 3214944 3219336 3223734 3226107 3331881 3334016 3384768 3389392 3415878 3495744 3542392 3583872 3588768 3750768 3755892 3761023 3807864 3813066 3948896 3985191 4048448 4181184 4186896 4286592 4292448 4298312 4301476 4433184 4442508 4448577 4554504 4560726 4710258 4785024 4829004 4835601 5001024 5007856 5077152 5084088 5313588 5320847 5383152 5454986 5582528 5626152 5633838 5719599 5723264 5910912 5923344 5931436 6072672 6080968 6271776 6280344 6429888 6438672 6447468 6452214 6663762 6769536 6778784 6831756 6841089 6991488 7084784 7177536 7501536 7511784 7522046 7527583 7615728 7626132 7897792 7970382 8096896 8182479 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31201446808 31566803328 31988037904 32991755328 33036826032 33106310034 33539728536 33987290273 34734489216 34781940704 35053740036 35101627659 35658796352 35986542642 36827937216 37756372608 37835782896 37887471124 39076300368 39129683292 40061417184 40116145896 41545173376 41984299749 42565255758 44049101376 44141746712 44658628992 44719638048 46738320048 46802170212 47982056856 49555239048 49659465051 50447710528 52101733824 52172911056 53415222912 53488194528 53979813963 55241905824 55979066332 56634558912 56753674344 56831206686 58694524938 59626184064 60174218844 62317760064 62402893616 63976075808 65983510656 66073652064 66212620068 66303074467 67079457072 67974580546 69563881408 70107480072 70203255318 71317592704 71973085284 73655874432 75671565792 75774942248 78152600736 78259366584 80122834368 80232291792 83968599498 85130511516 85246810029 88098202752 88283493424 89439276096 93476640096 93604340424 95964113712 99110478096 99318930102 100895421056 101961870819 104203467648 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373906560384 374417361696 377858697741 383856454848 396441912384 397275720408 397818446802 407847483276 417383288448 421219531908 431838511704 447832530656 454029394752 454649653488 469556199504 475822063822 481393750752 499223148928 503811596988 511480860174 529700960544 530424595736 536635656576 543796644368 560859840576 561626042544 575784682272 577783934641 595913580612 596727670203 606199537984 611771224914 626074932672 641858334336 671748795984 681044092128 681974480232 706267947392 713733095733 748834723392 755717395482 767712909696 792883824768 794551440816 795636893604 815694966552 842439063816 863677023408 895665061312 908058789504 909299306976 917656837371 939112399008 951644127644 962787501504 1007623193976 1022961720348 1059401921088 1060849191472 1087593288736 1121719681152 1123252085088 1151569364544 1155567869282 1191827161224 1193455340406 1212399075968 1223542449828 1252149865344 1343497591968 1362088184256 1363948960464 1427466191466 1497669446784 1511434790964 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8564797148796 9244542954256 9534617289792 9547642723248 9788339598624 10400110823538 10911591683712 11419729531728 12091478327712 12133462627461 12730190297664 12847195723194 13051119464832 13479025021056 13866814431384 14321464084872 14682509397936 15226306042304 15600166235307 16121971103616 16177950169948 16367387525568 17129594297592 18489085908512 19069234579584 19095285446496 19576679197248 20800221647076 22839459063456 24182956655424 24266925254922 25460380595328 25694391446388 27733628862768 28642928169744 29365018795872 30452612084608 31200332470614 32355900339896 32734775051136 34259188595184 36400387882383 36978171817024 38190570892992 39153358394496 41600443294152 45678918126912 48365913310848 48533850509844 51388782892776 55467257725536 57285856339488 58730037591744 62400664941228 64711800679792 68518377190368 72800775764766 73956343634048 76381141785984 83200886588304 91357836253824 97067701019688 102777565785552 109201163647149 110934515451072 114571712678976 117460075183488 124801329882456 129423601359584 137036754380736 145601551529532 166401773176608 194135402039376 205555131571104 218402327294298 221869030902144 229143425357952 249602659764912 258847202719168 274073508761472 291203103059064 332803546353216 388270804078752 411110263142208 436804654588596 499205319529824 517694405438336 582406206118128 665607092706432 776541608157504 822220526284416 873609309177192 998410639059648 1164812412236256 1553083216315008 1747218618354384 1996821278119296 2329624824472512 3494437236708768 4659249648945024 6988874473417536 13977748946835072
- Sum of all divisors σ(n): 50987734684660800
- Sum of proper divisors (its aliquot sum) s(n): 37009985737825728
- 13977748946835072 is an abundant number, because the sum of its proper divisors (37009985737825728) is greater than itself. Its abundance is 23032236790990656
Bases of 13977748946835072
- Binary: 1100011010100010110000010010001011110001010110100000002
- Hexadecimal: 0x31A8B048BC5680
- Base-36: 3TMP57W5UO0
Squares and roots of 13977748946835072
- 13977748946835072 squared (139777489468350722) is 195377465620748964452365569245184
- 13977748946835072 cubed (139777489468350723) is 2730937164315729324575494381966726492216778293248
-
The
square root of 13977748946835072 is 118227530.4099475471 -
The
cube root of 13977748946835072 is 240886.4725120645
Scales and comparisons
How big is 13977748946835072?- 13,977,748,946,835,072 seconds is equal to 444,449,180 years, 25 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,977,748,946,835,072 would take you about one billion, three hundred thirty-three million, three hundred forty-seven thousand, five hundred forty-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 13977748946835072 cubic inches would be around 20073.9 feet tall.
Recreational maths with 13977748946835072
- 13977748946835072 backwards is 27053864984777931
- The number of decimal digits it has is: 17
- The sum of 13977748946835072's digits is 90
- More coming soon!
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"Number 13977748946835072 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 13977748946835072 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/13977748946835072/
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Numbermatics. 2024. "Number 13977748946835072 - Facts about the integer". https://numbermatics.com/n/13977748946835072/
The information we have on file for 13977748946835072 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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