138317643303840
138,317,643,303,840 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138317643303840 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
138317643303840 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138317643303840:
25 × 33 × 5 × 7 × 113 × 13 × 19 × 13913
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 11 × 13 × 19 × 13913)See below for interesting mathematical facts about the number 138317643303840 from the Numbermatics database.
Names of 138317643303840
- Cardinal: 138317643303840 can be written as One hundred thirty-eight trillion, three hundred seventeen billion, six hundred forty-three million, three hundred three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3831764330384 × 1014
Factors of 138317643303840
Divisors of 138317643303840
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 24 26 27 28 30 32 33 35 36 38 39 40 42 44 45 48 52 54 55 56 57 60 63 65 66 70 72 76 77 78 80 84 88 90 91 95 96 99 104 105 108 110 112 114 117 120 121 126 130 132 133 135 140 143 144 152 154 156 160 165 168 171 176 180 182 189 190 195 198 208 209 210 216 220 224 228 231 234 240 242 247 252 260 264 266 270 273 280 285 286 288 297 304 308 312 315 330 336 342 351 352 360 363 364 378 380 385 390 396 399 416 418 420 429 432 440 455 456 462 468 480 484 494 495 504 513 520 528 532 540 546 560 570 572 585 594 605 608 616 624 627 630 660 665 672 684 693 702 715 720 726 728 741 756 760 770 780 792 798 819 836 840 847 855 858 864 880 910 912 924 936 945 968 988 990 1001 1008 1026 1040 1045 1056 1064 1080 1089 1092 1120 1140 1144 1155 1170 1188 1197 1210 1232 1235 1248 1254 1260 1287 1320 1330 1331 1365 1368 1386 1404 1430 1440 1452 1456 1463 1482 1485 1512 1520 1540 1560 1573 1584 1596 1638 1672 1680 1694 1710 1716 1729 1755 1760 1815 1820 1824 1848 1872 1881 1890 1936 1976 1980 1995 2002 2016 2052 2079 2080 2090 2128 2145 2160 2178 2184 2223 2280 2288 2299 2310 2340 2376 2394 2420 2457 2464 2470 2508 2520 2541 2565 2574 2640 2660 2662 2717 2730 2736 2772 2808 2860 2904 2912 2926 2964 2970 3003 3024 3040 3080 3120 3135 3146 3168 3192 3267 3276 3344 3360 3388 3420 3432 3458 3465 3510 3591 3630 3640 3696 3705 3744 3762 3780 3861 3872 3952 3960 3990 3993 4004 4095 4104 4158 4180 4235 4256 4290 4320 4356 4368 4389 4446 4560 4576 4598 4620 4680 4719 4752 4788 4840 4914 4940 5005 5016 5040 5082 5130 5148 5187 5280 5320 5324 5434 5445 5460 5472 5544 5616 5643 5720 5808 5852 5928 5940 5985 6006 6048 6160 6240 6270 6292 6384 6435 6534 6552 6655 6669 6688 6776 6840 6864 6897 6916 6930 7020 7182 7260 7280 7315 7392 7410 7524 7560 7623 7722 7865 7904 7920 7980 7986 8008 8151 8190 8208 8316 8360 8470 8580 8645 8712 8736 8778 8892 9009 9120 9196 9240 9317 9360 9405 9438 9504 9576 9680 9828 9880 10010 10032 10080 10164 10260 10296 10374 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34544865960 34640030880 34666076016 34928697804 34999403670 35722531845 35824305440 36591969128 36767050320 36943814985 37332697248 37423604790 37999352556 38104033968 38517862240 39406735984 39918511776 39999318480 40302343620 40443755352 40825750680 41165965269 41362931610 42221502840 42337815520 43332595020 43660872255 43966193040 44120460384 44332577982 44908325748 45499224771 45739961410 46059821280 46571597072 46665871560 47271921840 47499190695 47630042460 48362812344 49258419980 49898139720 50554694190 50665803408 50908223520 51960046320 51999114024 52393046706 53736458160 53925007136 54434334240 54887953692 55150575480 55999045872 56135407185 56295337120 57156050952 57776793360 58214496340 59110103976 59877767664 60164264160 60453515430 60665633028 62221162080 63332254260 63506723280 64035945974 64483749792 64998892530 66180690576 66498866973 66530852960 67406258920 68609942115 69089731920 69332152032 69857395608 69998807340 71445063690 73183938256 73534100640 73887629970 74847209580 75832041285 75998705112 76208067936 78589570059 78813471968 79998636960 80604687240 80887510704 81651501360 82331930538 82725863220 84443005680 86665190040 87321744510 87932386080 88665155964 89816651496 90998449542 91479922820 93143194144 93331743120 94543843680 94998381390 95260084920 96053918961 96725624688 98516839960 99796279440 101109388380 101331606816 103920092640 103998228048 104786093412 107472916320 109775907384 110301150960 110831444955 111998091744 112270814370 114312101904 115553586720 116428992680 118220207952 119755535328 120907030860 121331266056 123497895807 126664508520 127013446560 128071891948 129997785060 130982616765 132361381152 132997733946 134812517840 137219884230 138179463840 139714791216 139997614680 142890127380 146367876512 147775259940 149694419160 151664082570 151997410224 157179140118 160089864935 161209374480 161775021408 163303002720 164663861076 165451726440 168886011360 173330380080 174643489020 177330311928 179633302992 181996899084 182959845640 186663486240 189996762780 190520169840 192107837922 193451249376 197033679920 199592558880 202218776760 205829826345 207996456096 209572186824 219551814768 220602301920 221662889910 224541628740 227496123855 228624203808 232857985360 236440415904 241814061720 242662532112 246995791614 253329017040 256143783896 259995570120 261965233530 265995467892 269625035680 274439768460 279429582432 279995229360 285780254760 288161756883 295550519880 299388838320 303328165140 303994820448 314358280236 320179729870 322418748960 329327722152 330903452880 332494334865 346660760160 349286978040 354660623856 359266605984 363993798168 365919691280 379993525560 381040339680 384215675844 392947850295 394067359840 404437553520 411659652690 419144373648 439103629536 443325779820 449083257480 454992247710 465715970720 480269594805 483628123440 485325064224 493991583228 506658034080 512287567792 519991140240 523930467060 531990935784 548879536920 559990458720 571560509520 576323513766 591101039760 598777676640 606656330280 617489479035 628716560472 640359459740 658655444304 661806905760 664988669730 698573956080 709321247712 727987596336 731839382560 759987051120 768431351688 785895700590 808875107040 823319305380 838288747296 864485270649 886651559640 898166514960 909984495420 960539189610 967256246880 987983166456 1024575135584 1039982280480 1047860934120 1063981871568 1097759073840 1143121019040 1152647027532 1182202079520 1213312660560 1234978958070 1257433120944 1280718919480 1317310888608 1329977339460 1397147912160 1440808784415 1455975192672 1519974102240 1536862703376 1571791401180 1646638610760 1728970541298 1773303119280 1796333029920 1819968990840 1921078379220 1975966332912 2095721868240 2127963743136 2195518147680 2305294055064 2426625321120 2469957916140 2514866241888 2561437838960 2659954678920 2881617568830 3073725406752 3143582802360 3293277221520 3457941082596 3546606238560 3639937981680 3842156758440 3951932665824 4191443736480 4322426353245 4610588110128 4939915832280 5122875677920 5319909357840 5763235137660 6287165604720 6586554443040 6915882165192 7279875963360 7684313516880 8644852706490 9221176220256 9879831664560 10639818715680 11526470275320 12574331209440 13831764330384 15368627033760 17289705412980 19759663329120 23052940550640 27663528660768 34579410825960 46105881101280 69158821651920 138317643303840
- Sum of all divisors σ(n): 689910707404800
- Sum of proper divisors (its aliquot sum) s(n): 551593064100960
- 138317643303840 is an abundant number, because the sum of its proper divisors (551593064100960) is greater than itself. Its abundance is 413275420797120
Bases of 138317643303840
- Binary: 111110111001100100101011111111011001011101000002
- Hexadecimal: 0x7DCC95FECBA0
- Base-36: 1D128XKFC0
Squares and roots of 138317643303840
- 138317643303840 squared (1383176433038402) is 19131770449128314390558745600
- 138317643303840 cubed (1383176433038403) is 2646261400753476984328214188855990063104000
-
The
square root of 138317643303840 is 11760852.1504115509 -
The
cube root of 138317643303840 is 51716.1111556473
Scales and comparisons
How big is 138317643303840?- 138,317,643,303,840 seconds is equal to 4,398,073 years, 11 weeks, 8 hours, 24 minutes.
-
To count from 1 to 138,317,643,303,840 would take you about ten million, nine hundred ninety-five thousand, one hundred eighty-three 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 138317643303840 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138317643303840
- 138317643303840 backwards is 048303346713831
- 138317643303840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138317643303840's digits is 54
- More coming soon!
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"Number 138317643303840 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138317643303840 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138317643303840/
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The information we have on file for 138317643303840 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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