138121624582656
138,121,624,582,656 is an even composite number composed of six prime numbers multiplied together.
What does the number 138121624582656 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138121624582656 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138121624582656:
29 × 3 × 11 × 132 × 53 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 13 × 53 × 97 × 97 × 97)See below for interesting mathematical facts about the number 138121624582656 from the Numbermatics database.
Names of 138121624582656
- Cardinal: 138121624582656 can be written as One hundred thirty-eight trillion, one hundred twenty-one billion, six hundred twenty-four million, five hundred eighty-two thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.38121624582656 × 1014
Factors of 138121624582656
Divisors of 138121624582656
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 53 64 66 78 88 96 97 104 106 128 132 143 156 159 169 176 192 194 208 212 256 264 286 291 312 318 338 352 384 388 416 424 429 507 512 528 572 582 583 624 636 676 689 704 768 776 832 848 858 1014 1056 1067 1144 1164 1166 1248 1261 1272 1352 1378 1408 1536 1552 1664 1696 1716 1749 1859 2028 2067 2112 2134 2288 2328 2332 2496 2522 2544 2704 2756 2816 3104 3201 3328 3392 3432 3498 3718 3783 4056 4134 4224 4268 4576 4656 4664 4992 5044 5088 5141 5408 5512 5577 5632 6208 6402 6656 6784 6864 6996 7436 7566 7579 8112 8268 8448 8536 8957 9152 9312 9328 9409 9984 10088 10176 10282 10816 11024 11154 12416 12804 13568 13728 13871 13992 14872 15132 15158 15423 16224 16393 16536 16896 17072 17914 18304 18624 18656 18818 19968 20176 20352 20564 21632 22048 22308 22737 24832 25608 26871 27136 27456 27742 27984 28227 29744 30264 30316 30846 32448 32786 33072 34144 35828 36608 37248 37312 37636 40352 40704 41128 41613 43264 44096 44616 45474 49179 49664 51216 53742 54912 55484 55968 56454 56551 59488 60528 60632 61692 64896 65572 66144 66833 68288 71656 73216 74496 74624 75272 80704 81408 82256 83226 86528 88192 89232 90948 98358 98527 102432 103499 107484 109824 110968 111936 112908 113102 118976 121056 121264 122317 123384 129792 131144 132288 133666 136576 143312 148992 149248 150544 161408 164512 166452 169653 176384 178464 180323 181896 196716 197054 200499 204864 206998 214968 219648 221936 223872 225816 226204 237952 242112 242528 244634 246768 259584 262288 264576 267332 273152 286624 295581 298496 301088 310497 322816 329024 332904 339306 352768 356928 360646 363792 366951 393432 394108 400998 409728 413996 429936 443872 447744 451632 452408 475904 484224 485056 489268 493536 498677 524576 529152 534664 540969 546304 573248 591162 602176 620994 645632 658048 665808 678612 713856 721292 727584 733902 735163 786864 788216 801996 819456 827992 859872 868829 887744 895488 903264 904816 912673 951808 968448 970112 978536 987072 997354 1049152 1058304 1069328 1081938 1146496 1182324 1204352 1241988 1316096 1331616 1345487 1357224 1427712 1442584 1455168 1467804 1470326 1496031 1573728 1576432 1590121 1603992 1638912 1655984 1719744 1737658 1775488 1806528 1809632 1825346 1936896 1940224 1957072 1974144 1994708 2098304 2138656 2163876 2205489 2292992 2364648 2408704 2483976 2606487 2632192 2663232 2690974 2714448 2738019 2855424 2885168 2910336 2935608 2940652 2992062 3147456 3152864 3180242 3207984 3311968 3439488 3475316 3550976 3613056 3619264 3650692 3880448 3914144 3948288 3989416 4036461 4196608 4277312 4327752 4410978 4585984 4729296 4770363 4817408 4967952 5212974 5326464 5381948 5428896 5476038 5485447 5770336 5820672 5871216 5881304 5984124 6294912 6305728 6360484 6415968 6482801 6623936 6878976 6950632 7101952 7226112 7238528 7301384 7828288 7896576 7978832 8072922 8393216 8554624 8655504 8821956 9458592 9540726 9557119 9935904 10039403 10425948 10652928 10763896 10857792 10952076 10970894 11540672 11641344 11742432 11762608 11864749 11968248 12589824 12611456 12720968 12831936 12965602 13247872 13757952 13901264 14452224 14477056 14602768 15656576 15957664 16145844 16456341 17109248 17311008 17491331 17643912 18917184 19081452 19114238 19448403 19871808 20078806 20851896 21305856 21527792 21715584 21904152 21941788 23081344 23484864 23525216 23729498 23936496 25179648 25222912 25441936 25663872 25931204 26495744 27802528 28671357 28954112 29205536 30118209 31313152 31915328 32291688 32912682 34218496 34622016 34982662 35287824 35594247 37834368 38162904 38228476 38896806 39743616 40157612 41703792 43055584 43431168 43808304 43883576 46162688 46969728 47050432 47458996 47872992 48371669 50445824 50883872 51327744 51862408 52473993 52991488 55605056 57342714 58411072 60236418 62626304 63830656 64583376 65825364 69244032 69965324 70575648 71188494 71310811 75668736 76325808 76456952 77793612 79487232 80315224 83407584 84276413 86111168 86862336 87616608 87767152 92325376 93939456 94100864 94917992 95745984 96743338 101767744 102655488 103724816 104947986 111210112 114685428 116822144 120472836 127661312 129166752 130512239 131650728 138488064 139930648 141151296 142376988 142621622 145115007 151337472 152651616 152913904 154241737 155587224 158974464 160630448 166815168 168552826 172222336 175233216 175534304 187878912 188201728 189835984 191491968 193486676 203535488 207449632 209895972 213932433 222420224 229370856 233644288 240945672 252829239 255322624 258333504 261024478 263301456 276976128 279861296 282302592 284753976 285243244 290230014 305303232 305827808 308483474 311174448 321260896 333630336 337105652 344444672 350466432 351068608 376403456 379671968 382983936 386973352 391536717 407070976 414899264 419791944 427864866 444840448 458741712 462725211 467288576 481891344 505658478 516667008 522048956 526602912 532088359 559722592 564605184 569507952 570486488 580460028 610606464 611655616 616966948 622348896 628831697 642521792 667260672 674211304 688889344 700932864 702137216 759343936 765967872 773946704 783073434 814141952 829798528 839583888 855729732 917483424 925450422 927040543 963782688 1011316956 1033334016 1044097912 1053205824 1064176718 1119445184 1129210368 1139015904 1140972976 1160920056 1221212928 1223311232 1233933896 1244697792 1257663394 1285043584 1334521344 1348422608 1401865728 1404274432 1518687872 1547893408 1566146868 1596265077 1659597056 1679167776 1696659107 1711459464 1834966848 1850900844 1854081086 1886495091 1927565376 2022633912 2066668032 2088195824 2106411648 2128353436 2238890368 2278031808 2281945952 2321840112 2442425856 2446622464 2467867792 2489395584 2515326788 2570087168 2696845216 2781121629 2808548864 3037375744 3095786816 3132293736 3192530154 3319194112 3358335552 3393318214 3422918928 3669933696 3701801688 3708162172 3772990182 3855130752 4045267824 4176391648 4212823296 4256706872 4477780736 4556063616 4563891904 4643680224 4893244928 4935735584 4978791168 5030653576 5089977321 5140174336 5393690432 5562243258 6074751488 6191573632 6264587472 6385060308 6716671104 6786636428 6845837856 6917148667 7339867392 7403603376 7416324344 7545980364 7710261504 8090535648 8174812061 8352783296 8425646592 8513413744 8955561472 9112127232 9127783808 9287360448 9871471168 9957582336 10061307152 10179954642 10787380864 11124486516 12383147264 12529174944 12770120616 13433342208 13573272856 13691675712 13834297334 14679734784 14807206752 14832648688 15091960728 15420523008 16181071296 16349624122 16705566592 17026827488 18224254464 18255567616 18574720896 19742942336 20122614304 20359909284 20751446001 21574761728 22248973032 24524436183 24766294528 25058349888 25540241232 26866684416 27146545712 27383351424 27668594668 29614413504 29665297376 30183921456 32362142592 32699248244 33411133184 34053654976 36511135232 37149441792 39485884672 40245228608 40719818568 41502892002 43149523456 44497946064 49048872366 50116699776 51080482464 54293091424 54766702848 55337189336 59228827008 59330594752 60367842912 64724285184 65398496488 66822266368 68107309952 74298883584 78971769344 80490457216 81439637136 83005784004 88995892128 89922932671 98097744732 100233399552 102160964928 108586182848 109533405696 110674378672 118457654016 118661189504 120735685824 129448570368 130796992976 136214619904 160980914432 162879274272 166011568008 177991784256 179845865342 196195489464 200466799104 204321929856 217172365696 221348757344 236915308032 237322379008 241471371648 261593985952 269768798013 272429239808 321961828864 325758548544 332023136016 355983568512 359691730684 392390978928 408643859712 434344731392 442697514688 474644758016 482942743296 523187971904 539537596026 651517097088 664046272032 711967137024 719383461368 784781957856 817287719424 868689462784 885395029376 965885486592 1046375943808 1079075192052 1303034194176 1328092544064 1423934274048 1438766922736 1569563915712 1770790058752 2092751887616 2158150384104 2606068388352 2656185088128 2877533845472 3139127831424 3541580117504 4185503775232 4316300768208 5312370176256 5755067690944 6278255662848 8632601536416 10624740352512 11510135381888 12556511325696 17265203072832 23020270763776 34530406145664 46040541527552 69060812291328 138121624582656
- Sum of all divisors σ(n): 447483905447040
- Sum of proper divisors (its aliquot sum) s(n): 309362280864384
- 138121624582656 is an abundant number, because the sum of its proper divisors (309362280864384) is greater than itself. Its abundance is 171240656281728
Bases of 138121624582656
- Binary: 111110110011110111100100101111001111010000000002
- Hexadecimal: 0x7D9EF25E7A00
- Base-36: 1CYK752Y2O
Squares and roots of 138121624582656
- 138121624582656 squared (1381216245826562) is 19077583177352162246176014336
- 138121624582656 cubed (1381216245826563) is 2635026781566628973136620335643533472956416
-
The
square root of 138121624582656 is 11752515.6703854685 -
The
cube root of 138121624582656 is 51691.6695436821
Scales and comparisons
How big is 138121624582656?- 138,121,624,582,656 seconds is equal to 4,391,840 years, 22 weeks, 3 hours, 37 minutes, 36 seconds.
-
To count from 1 to 138,121,624,582,656 would take you about ten million, nine hundred seventy-nine thousand, six hundred 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 138121624582656 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138121624582656
- 138121624582656 backwards is 656285426121831
- The number of decimal digits it has is: 15
- The sum of 138121624582656's digits is 60
- More coming soon!
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The information we have on file for 138121624582656 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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