138668470746624
138,668,470,746,624 is an even composite number composed of six prime numbers multiplied together.
What does the number 138668470746624 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138668470746624 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 138668470746624:
29 × 33 × 7 × 13 × 292 × 131071
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 29 × 29 × 131071)See below for interesting mathematical facts about the number 138668470746624 from the Numbermatics database.
Names of 138668470746624
- Cardinal: 138668470746624 can be written as One hundred thirty-eight trillion, six hundred sixty-eight billion, four hundred seventy million, seven hundred forty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38668470746624 × 1014
Factors of 138668470746624
Divisors of 138668470746624
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 32 36 39 42 48 52 54 56 58 63 64 72 78 84 87 91 96 104 108 112 116 117 126 128 144 156 168 174 182 189 192 203 208 216 224 232 234 252 256 261 273 288 312 336 348 351 364 377 378 384 406 416 432 448 464 468 504 512 522 546 576 609 624 672 696 702 728 754 756 768 783 812 819 832 841 864 896 928 936 1008 1044 1092 1131 1152 1218 1248 1344 1392 1404 1456 1508 1512 1536 1566 1624 1638 1664 1682 1728 1792 1827 1856 1872 2016 2088 2184 2262 2304 2436 2457 2496 2523 2639 2688 2784 2808 2912 3016 3024 3132 3248 3276 3328 3364 3393 3456 3584 3654 3712 3744 4032 4176 4368 4524 4608 4872 4914 4992 5046 5278 5376 5481 5568 5616 5824 5887 6032 6048 6264 6496 6552 6656 6728 6786 6912 7308 7424 7488 7569 7917 8064 8352 8736 9048 9744 9828 9984 10092 10179 10556 10752 10933 10962 11136 11232 11648 11774 12064 12096 12528 12992 13104 13456 13572 13824 14616 14848 14976 15138 15834 16128 16704 17472 17661 18096 19488 19656 19968 20184 20358 21112 21866 21924 22272 22464 22707 23296 23548 23751 24128 24192 25056 25984 26208 26912 27144 29232 29952 30276 31668 32256 32799 33408 34944 35322 36192 38976 39312 40368 40716 42224 43732 43848 44544 44928 45414 46592 47096 47502 48256 48384 50112 51968 52416 52983 53824 54288 58464 59904 60552 63336 65598 66816 69888 70644 71253 72384 76531 77952 78624 80736 81432 84448 87464 87696 89856 90828 94192 95004 96512 96768 98397 100224 103936 104832 105966 107648 108576 116928 121104 126672 131071 131196 133632 139776 141288 142506 144768 153062 155904 157248 158949 161472 162864 168896 174928 175392 179712 181656 188384 190008 193024 196794 200448 209664 211932 215296 217152 229593 233856 242208 253344 262142 262392 282576 285012 289536 295191 306124 311808 314496 317898 322944 325728 337792 349856 350784 363312 376768 380016 393213 393588 400896 419328 423864 430592 434304 459186 467712 484416 506688 524284 524784 565152 570024 579072 590382 612248 628992 635796 645888 651456 675584 688779 699712 701568 726624 753536 760032 786426 787176 847728 868608 917497 918372 935424 968832 1013376 1048568 1049568 1130304 1140048 1179639 1180764 1224496 1257984 1271592 1291776 1302912 1351168 1377558 1399424 1403136 1453248 1507072 1520064 1572852 1574352 1695456 1703923 1737216 1834994 1836744 1937664 2026752 2066337 2097136 2099136 2260608 2280096 2359278 2361528 2448992 2543184 2605824 2752491 2755116 2798848 2806272 2906496 3014144 3040128 3145704 3148704 3390912 3407846 3538917 3669988 3673488 3801059 3875328 4053504 4132674 4194272 4198272 4521216 4560192 4718556 4723056 4897984 5086368 5111769 5211648 5504982 5510232 5597696 5812992 6080256 6291408 6297408 6781824 6815692 7077834 7339976 7346976 7602118 8257473 8265348 8388544 8396544 9042432 9120384 9437112 9446112 9795968 10172736 10223538 11009964 11020464 11403177 11625984 11927461 12160512 12582816 12594816 13563648 13631384 14155668 14679952 14693952 15204236 15335307 16514946 16530696 16777088 16793088 18240768 18874224 18892224 19591936 20345472 20447076 22019928 22040928 22806354 23854922 24772419 25165632 25189632 26607413 27127296 27262768 28311336 29359904 29387904 30408472 30670614 33029892 33061392 33554176 34209531 35782383 36481536 37748448 37784448 39183872 40690944 40894152 44039856 44081856 45612708 46005921 47709844 49413767 49544838 50331264 50379264 53214826 54525536 56622672 58719808 58775808 60816944 61341228 66059784 66122784 67108352 68419062 71564766 75496896 75568896 79822239 81381888 81788304 88079712 88163712 91225416 92011842 95419688 98827534 99089676 100662528 102628593 106429652 107347149 109051072 110230711 113245344 117439616 117551616 121633888 122682456 132119568 132245568 136838124 143129532 148241301 150993792 151137792 159644478 163576608 176159424 176327424 182450832 184023684 190839376 197655068 198179352 201325056 205257186 212859304 214694298 218102144 220461422 226490688 234879232 239466717 243267776 245364912 264239136 264491136 273676248 286259064 296482602 301987584 319288956 322041447 327153216 330692133 345896369 352318848 352654848 364901664 368047368 381678752 395310136 396358704 410514372 425718608 429388596 436204288 440922844 444723903 452981376 469758464 478933434 486535552 490729824 528478272 528982272 547352496 572518128 592965204 603975168 638577912 644082894 654306432 661384266 691792738 704637696 718400151 729803328 736094736 763357504 771614977 790620272 792717408 821028744 851437216 858777192 872408576 881845688 889447806 905962752 957866868 973071104 981459648 992076399 1037689107 1056956544 1057964544 1094704992 1145036256 1185930408 1277155824 1288165788 1308612864 1322768532 1334171709 1383585476 1409275392 1432999243 1436800302 1459606656 1472189472 1526715008 1543229954 1581240544 1585434816 1642057488 1702874432 1717554384 1763691376 1778895612 1811925504 1915733736 1946142208 1962919296 1984152798 2075378214 2113913088 2189409984 2290072512 2314844931 2371860816 2554311648 2576331576 2617225728 2645537064 2668343418 2767170952 2865998486 2873600604 2919213312 2944378944 2976229197 3053430016 3086459908 3113067321 3162481088 3170869632 3284114976 3405748864 3435108768 3527382752 3557791224 3831467472 3925838592 3968305596 4150756428 4227826176 4298997729 4378819968 4580145024 4629689862 4743721632 5108623296 5152663152 5291074128 5336686836 5534341904 5731996972 5747201208 5838426624 5888757888 5952458394 6106860032 6172919816 6226134642 6324962176 6341739264 6568229952 6811497728 6870217536 6944534793 7054765504 7115582448 7662934944 7851677184 7936611192 8301512856 8597995458 8757639936 9160290048 9259379724 9339201963 9487443264 10030994701 10217246592 10305326304 10582148256 10673373672 11068683808 11463993944 11494402416 11777515776 11904916788 12345839632 12452269284 12649924352 12683478528 12896993187 13136459904 13622995456 13740435072 13889069586 14109531008 14231164896 15325869888 15873222384 16603025712 17195990916 17515279872 18320580096 18518759448 18678403926 18974886528 20061989402 20434493184 20610652608 20833604379 21164296512 21346747344 22137367616 22927987888 22988804832 23555031552 23809833576 24691679264 24904538568 25299848704 25793986374 26272919808 27480870144 27778139172 28219062016 28462329792 30092984103 30651739776 31746444768 33206051424 34391981832 37037518896 37356807852 37949773056 38690979561 40123978804 40868986368 41221305216 41667208758 42328593024 42693494688 44274735232 45855975776 45977609664 47619667152 49383358528 49809077136 51587972748 52545839616 54961740288 55556278344 56438124032 56924659584 60185968206 61303479552 63492889536 66412102848 68783963664 74075037792 74713615704 75899546112 77381959122 80247957608 82442610432 83334417516 84657186048 85386989376 88549470464 90278952309 91711951552 91955219328 95239334304 98766717056 99618154272 103175945496 111112556688 113849319168 120371936412 122606959104 126985779072 132824205696 137567927328 148150075584 149427231408 154763918244 160495915216 164885220864 166668835032 169314372096 170773978752 177098940928 180557904618 183423903104 183910438656 190478668608 197533434112 199236308544 206351890992 222225113376 227698638336 240743872824 253971558144 265648411392 270836856927 275135854656 296300151168 298854462816 309527836488 320991830432 333337670064 341547957504 361115809236 366847806208 367820877312 380957337216 395066868224 398472617088 412703781984 444450226752 481487745648 507943116288 531296822784 541673713854 550271709312 592600302336 597708925632 619055672976 641983660864 666675340128 683095915008 722231618472 733695612416 761914674432 796945234176 825407563968 888900453504 962975491296 1083347427708 1100543418624 1185200604672 1195417851264 1238111345952 1283967321728 1333350680256 1444463236944 1523829348864 1593890468352 1650815127936 1777800907008 1925950982592 2166694855416 2201086837248 2390835702528 2476222691904 2567934643456 2666701360512 2888926473888 3301630255872 3555601814016 3851901965184 4333389710832 4781671405056 4952445383808 5135869286912 5333402721024 5777852947776 6603260511744 7703803930368 8666779421664 9904890767616 10666805442048 11555705895552 15407607860736 17333558843328 19809781535232 23111411791104 34667117686656 46222823582208 69334235373312 138668470746624
- Sum of all divisors σ(n): 523216858644480
- Sum of proper divisors (its aliquot sum) s(n): 384548387897856
- 138668470746624 is an abundant number, because the sum of its proper divisors (384548387897856) is greater than itself. Its abundance is 245879917151232
Bases of 138668470746624
- Binary: 111111000011110010001001111000010111110000000002
- Hexadecimal: 0x7E1E44F0BE00
- Base-36: 1D5JEZ62O0
Squares and roots of 138668470746624
- 138668470746624 squared (1386684707466242) is 19228944779207316048007397376
- 138668470746624 cubed (1386684707466243) is 2666448366603957996014515479839409778458624
-
The
square root of 138668470746624 is 11775757.7567910251 -
The
cube root of 138668470746624 is 51759.7983107331
Scales and comparisons
How big is 138668470746624?- 138,668,470,746,624 seconds is equal to 4,409,228 years, 22 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,668,470,746,624 would take you about eleven million, twenty-three thousand and seventy-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 138668470746624 cubic inches would be around 4313.3 feet tall.
Recreational maths with 138668470746624
- 138668470746624 backwards is 426647074866831
- 138668470746624 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138668470746624's digits is 72
- More coming soon!
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The information we have on file for 138668470746624 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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