138039334142346
138,039,334,142,346 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138039334142346 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138039334142346 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138039334142346:
2 × 33 × 7 × 13 × 232 × 372 × 79 × 491
(2 × 3 × 3 × 3 × 7 × 13 × 23 × 23 × 37 × 37 × 79 × 491)See below for interesting mathematical facts about the number 138039334142346 from the Numbermatics database.
Names of 138039334142346
- Cardinal: 138039334142346 can be written as One hundred thirty-eight trillion, thirty-nine billion, three hundred thirty-four million, one hundred forty-two thousand, three hundred forty-six.
Scientific notation
- Scientific notation: 1.38039334142346 × 1014
Factors of 138039334142346
Divisors of 138039334142346
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 23 26 27 37 39 42 46 54 63 69 74 78 79 91 111 117 126 138 158 161 182 189 207 222 234 237 259 273 299 322 333 351 378 414 474 481 483 491 518 529 546 553 598 621 666 702 711 777 819 851 897 962 966 982 999 1027 1058 1106 1242 1369 1422 1443 1449 1473 1554 1587 1638 1659 1702 1794 1817 1998 2054 2093 2133 2331 2457 2553 2691 2738 2886 2898 2923 2946 3081 3174 3318 3367 3437 3634 3703 4107 4186 4266 4329 4347 4419 4662 4761 4914 4977 5106 5382 5451 5846 5957 6162 6279 6383 6734 6874 6877 6993 7189 7406 7659 8073 8214 8658 8694 8769 8838 9243 9522 9583 9954 10101 10311 10902 11063 11109 11293 11914 12321 12558 12719 12766 12987 13257 13754 13986 14283 14378 14931 15318 16146 16353 17538 17797 17871 18167 18486 18837 19149 19166 19573 20202 20461 20622 20631 21567 22126 22218 22586 22977 23621 24642 25438 25974 26307 26514 27729 28566 28749 29862 30303 30933 31487 32706 33189 33327 33879 35594 35742 36334 36963 37674 37999 38157 38298 38789 39146 40922 41262 41791 43134 44681 45954 47242 48139 49059 52614 53391 53613 54501 55458 56511 57447 57498 58719 60606 61383 61866 61893 62974 64701 66378 66654 67229 67758 70863 73926 75998 76314 77441 77578 78921 79051 83582 86247 89362 90909 92799 94461 96278 98118 99567 99981 101637 106782 107226 108151 109002 113022 113997 114471 114894 116367 117438 122766 123786 124579 125373 127169 129402 134043 134458 137011 141726 144417 146809 154882 157842 158102 160173 160839 163503 165347 172341 172494 176157 181818 184149 185598 185679 188922 194103 199134 199962 201687 203274 212589 216302 220409 227994 228942 232323 232734 236171 237153 249158 250746 254338 254449 258741 259739 265993 268086 271523 274022 283383 288834 292537 293618 298701 304911 320346 321678 324453 327006 330694 341991 343413 344682 349101 352314 368298 371358 373737 376119 381507 388206 402129 403374 409331 411033 417841 425178 433251 440427 440818 464646 470603 472342 474306 480519 490509 496041 504257 508898 517482 519478 528471 531986 543046 543283 552447 566766 585074 597402 605061 609822 637767 648906 661227 672179 683982 686826 696969 698202 708513 711459 724201 747474 752238 757057 763014 763347 779217 797979 804258 814569 818662 822066 835682 850149 866502 873977 877611 880854 892147 941206 961038 973359 981018 992082 1008514 1025973 1027663 1047303 1056942 1086566 1104894 1121211 1128357 1144521 1206387 1210122 1227993 1233099 1253523 1275534 1299753 1321281 1322454 1344358 1393938 1405963 1411809 1417026 1422918 1435193 1448402 1488123 1512771 1514114 1526694 1546267 1558434 1595958 1629138 1629849 1653197 1700298 1747954 1755222 1781143 1784294 1815183 1818173 1946718 1983681 2016537 2051946 2055326 2090907 2094606 2125539 2134377 2172603 2242422 2256714 2271171 2289042 2290041 2337651 2393937 2412774 2443707 2455986 2466198 2487473 2507046 2599506 2621931 2632833 2642562 2676441 2811926 2823618 2865317 2870386 2920077 2924887 2976246 3025542 3082989 3092534 3259698 3306394 3363633 3376607 3433563 3529799 3562286 3630366 3636346 3683979 3699297 3760569 3802981 3963843 3967362 4033074 4181814 4217889 4235427 4251078 4268754 4305579 4345206 4464369 4538313 4542342 4580082 4638801 4675302 4705253 4787874 4887414 4889547 4959591 4974946 5069407 5243862 5265666 5343429 5352882 5431933 5454519 5730634 5840154 5849774 5951043 6049611 6117839 6165978 6245029 6376617 6517809 6727266 6753214 6813513 6867126 6870123 7012953 7059598 7181811 7331121 7367958 7398594 7462419 7521138 7605962 7865793 7898499 7927686 8029323 8435778 8470854 8595951 8611158 8738327 8774661 8928738 9076626 9248967 9277602 9410506 9414613 9610343 9779094 9841741 9919182 10046351 10129821 10138814 10589397 10686858 10823869 10863866 10909038 11051937 11281707 11408943 11597911 11902086 12099222 12235678 12490058 12653667 12706281 12753234 12916737 13035618 13614939 13627026 13740246 13916403 14025906 14115759 14363622 14662242 14668641 14878773 14924838 15208221 15460117 15731586 15796998 16030287 16058646 16295799 16363557 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10629039358 10813045131 10853002134 10992143187 11203582026 11586313089 12223442322 12425900994 12477567942 12661835823 13387579686 13665907746 13867724949 14404605462 14496884493 14934473022 15618842967 15741741834 15877540159 15943559037 16805373039 17098889402 18023153694 18638851491 19201465314 19739644522 20072609298 20081369529 20498861619 21626090262 21984286374 22401709533 23172626178 23612612751 25323671646 25648334103 27034730541 27735449898 28091032589 28993768986 29609466783 31237685934 31755080318 31887118074 32358024881 32976429561 33610746078 37277702982 37985507469 40162739058 40997723238 41603174847 43490653479 44803419066 46856528901 47225225502 47632620477 47830677111 50416119117 51296668206 54069461082 56182065178 59218933566 64716049762 65952859122 67205128599 69088755827 75971014938 76945002309 81104191623 83206349694 84273097767 86981306958 88828400349 93713057802 95265240954 95661354222 97074074643 100832238234 111142781113 124809524541 130471960437 134410257198 138177511654 140569586703 142897861431 143492031333 153890004618 162208383246 168546195534 177656800698 194148149286 196637228123 207266267481 222285562226 230835006927 249619049082 252819293301 260943920874 266485201047 281139173406 285795722862 286984062666 291222223929 333428343339 365183423657 393274456246 414532534962 428693584293 461670013854 505638586602 532970402094 582444447858 589911684369 621798802443 666856686678 730366847314 758457879903 857387168586 873666671787 1000285030017 1095550270971 1179823368738 1243597604886 1516915759806 1747333343574 1769735053107 1865396407329 2000570060034 2191100541942 2556283965599 3000855090051 3286650812913 3539470106214 3730792814658 5112567931198 5309205159321 6001710180102 6573301625826 7668851896797 9859952438739 10618410318642 15337703793594 19719904877478 23006555690391 46013111380782 69019667071173 138039334142346
- Sum of all divisors σ(n): 411598314086400
- Sum of proper divisors (its aliquot sum) s(n): 273558979944054
- 138039334142346 is an abundant number, because the sum of its proper divisors (273558979944054) is greater than itself. Its abundance is 135519645801708
Bases of 138039334142346
- Binary: 111110110001011110010010111101000000001100010102
- Hexadecimal: 0x7D8BC97A018A
- Base-36: 1CXIE7H7YI
Squares and roots of 138039334142346
- 138039334142346 squared (1380393341423462) is 19054857770462250095390383716
- 138039334142346 cubed (1380393341423463) is 2630319878811716659503344490239524704437736
-
The
square root of 138039334142346 is 11749014.1774680823 -
The
cube root of 138039334142346 is 51681.4018410789
Scales and comparisons
How big is 138039334142346?- 138,039,334,142,346 seconds is equal to 4,389,223 years, 43 weeks, 5 days, 11 hours, 59 minutes, 6 seconds.
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To count from 1 to 138,039,334,142,346 would take you about ten million, nine hundred seventy-three thousand and fifty-nine 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 138039334142346 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138039334142346
- 138039334142346 backwards is 643241433930831
- 138039334142346 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138039334142346's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138039334142346 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138039334142346/
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The information we have on file for 138039334142346 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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