138007214065673568
138,007,214,065,673,568 is an even composite number composed of nine prime numbers multiplied together.
138007214065673568 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138007214065673568:
25 × 32 × 7 × 11 × 19 × 31 × 37 × 14621 × 19531
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 19 × 31 × 37 × 14621 × 19531)See below for interesting mathematical facts about the number 138007214065673568 from the Numbermatics database.
Names of 138007214065673568
- Cardinal: 138007214065673568 can be written as One hundred thirty-eight quadrillion, seven trillion, two hundred fourteen billion, sixty-five million, six hundred seventy-three thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38007214065673568 × 1017
Factors of 138007214065673568
Divisors of 138007214065673568
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 31 32 33 36 37 38 42 44 48 56 57 62 63 66 72 74 76 77 84 88 93 96 99 111 112 114 124 126 132 133 144 148 152 154 168 171 176 186 198 209 217 222 224 228 231 248 252 259 264 266 279 288 296 304 308 333 336 341 342 352 372 396 399 407 418 434 444 456 462 496 504 518 528 532 558 589 592 608 616 627 651 666 672 682 684 693 703 744 777 792 798 814 836 868 888 912 924 992 1008 1023 1036 1056 1064 1116 1147 1178 1184 1197 1221 1232 1254 1302 1332 1364 1368 1386 1406 1463 1488 1554 1584 1596 1628 1672 1736 1767 1776 1824 1848 1881 1953 2016 2046 2072 2109 2128 2232 2294 2331 2356 2387 2394 2442 2464 2508 2604 2664 2728 2736 2772 2812 2849 2926 2976 3069 3108 3168 3192 3256 3344 3441 3472 3534 3552 3663 3696 3762 3906 4092 4123 4144 4218 4256 4389 4464 4588 4662 4712 4774 4788 4884 4921 5016 5208 5301 5328 5456 5472 5544 5624 5698 5852 6138 6216 6327 6384 6479 6512 6688 6882 6944 7068 7161 7326 7392 7524 7733 7812 8029 8184 8246 8288 8436 8547 8778 8928 9176 9324 9424 9548 9576 9768 9842 10032 10323 10416 10602 10656 10912 11088 11248 11396 11704 12276 12369 12432 12617 12654 12768 12958 13024 13167 13764 14136 14322 14621 14652 14763 15048 15466 15624 16058 16368 16492 16872 17094 17556 18352 18648 18848 19096 19152 19437 19531 19536 19684 20064 20646 20832 21204 21483 21793 22176 22496 22792 23199 23408 24087 24552 24738 24864 25234 25308 25641 25916 26334 27528 28272 28644 29242 29304 29526 30096 30932 31248 32116 32736 32984 33744 34188 35112 36704 37107 37296 37851 38192 38304 38874 39062 39072 39368 41292 42408 42966 43586 43863 44289 45353 45584 46398 46816 48174 49104 49476 50468 50616 51282 51832 52668 54131 55056 56544 57288 58311 58484 58593 58608 59052 60192 61864 62496 64232 65379 65968 67488 68376 69597 70224 72261 74214 74592 75702 76384 77748 78124 78736 82584 84816 85932 87172 87726 88319 88578 90706 91168 92796 96348 98208 98952 100936 101232 102347 102564 103664 105336 108262 110112 113553 114576 116622 116968 117186 117216 118104 123728 128464 130758 131589 131936 136059 136717 136752 139194 140448 144522 148428 151404 152551 155496 156248 157472 160831 162393 165168 169632 171864 174344 175452 175779 176638 177156 181412 185592 192696 196137 197904 201872 202464 204694 205128 207328 210672 214841 216524 227106 229152 233244 233936 234372 236208 239723 247456 256928 261516 263178 264957 272118 273434 273504 277799 278388 289044 296856 302808 305102 307041 310992 312496 321662 324786 330336 343728 348688 350904 351558 353276 354312 362824 371089 371184 385392 392274 395808 403744 408177 409388 410151 410256 421344 429682 433048 453251 454212 457653 466488 467872 468744 472416 479446 482493 487179 523032 526356 529914 540977 544236 546868 555598 556776 578088 593712 605461 605616 610204 614082 621984 624992 643324 644523 649572 687456 697376 701808 703116 706552 708624 719169 722647 725648 742178 742368 770784 784548 794871 816354 818776 820302 820512 833397 859364 866096 906502 908424 915306 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26034184883168 26499081041796 27513399933348 28044546650208 28257005336952 28823561834936 28908088409232 29288457993564 29602577019664 30080037939336 30915594548762 31443885638112 32426507064303 32718637758576 33302899147122 33472523421216 33726103144104 35332108055728 36684533244464 37339614195258 37676007115936 38853382338309 39051277324752 39748621562694 40106717252448 41270099900022 42385508005428 43235342752404 43562883227801 44403865529496 44968137525472 46373391823143 47165828457168 48440580577632 49077956637864 49786152260344 50441233211138 50589154716156 51804509784412 52998162083592 55026799866696 56009421292887 56514010673904 57647123669872 57816176818464 58576915987128 59205154039328 60160075878672 61831189097524 64853014128606 65437275517152 66605798294244 67452206288208 68455959357973 70664216111456 73369066488928 74679228390516 75661849816707 77706764676618 78102554649504 79497243125388 82540199800044 84771016010856 86470685504808 87125766455602 88807731058992 92746783646286 94331656914336 98155913275728 99572304520688 100882466422276 101178309432312 103609019568824 105996324167184 110053599733392 112018842585774 113028021347808 115294247339744 116560147014927 117153831974256 120320151757344 123662378195048 129706028257212 130688649683403 133211596588488 134904412576416 136911918715946 139120175469429 149358456781032 151323699633414 155413529353236 158994486250776 165080399600088 169542032021712 172941371009616 174251532911204 177615462117984 185493567292572 196311826551456 199144609041376 201764932844552 202356618864624 205367878073919 207218039137648 211992648334368 220107199466784 224037685171548 226985549450121 233120294029854 234307663948512 247324756390096 259412056514424 261377299366806 266423193176976 273823837431892 278240350938858 298716913562064 302647399266828 310827058706472 317988972501552 330160799200176 339084064043424 345882742019232 348503065822408 370987134585144 392065949050209 403529865689104 404713237729248 410735756147838 414436078275296 448075370343096 453971098900242 466240588059708 479191715505811 494649512780192 518824113028848 522754598733612 532846386353952 547647674863784 556480701877716 597433827124128 605294798533656 616103634221757 621654117412944 635977945003104 660321598400352 697006131644816 741974269170288 784131898100418 807059731378208 821471512295676 896150740686192 907942197800484 932481176119416 958383431011622 1037648226057696 1045509197467224 1095295349727568 1112961403755432 1210589597067312 1232207268443514 1243308234825888 1394012263289632 1437575146517433 1483948538340576 1568263796200836 1642943024591352 1792301481372384 1815884395600968 1864962352238832 1916766862023244 2091018394934448 2190590699455136 2225922807510864 2421179194134624 2464414536887028 2875150293034866 3136527592401672 3285886049182704 3631768791201936 3729924704477664 3833533724046488 4182036789868896 4312725439552299 4451845615021728 4928829073774056 5750300586069732 6273055184803344 6571772098365408 7263537582403872 7667067448092976 8625450879104598 9857658147548112 11500601172139464 12546110369606688 15334134896185952 17250901758209196 19715316295096224 23001202344278928 34501803516418392 46002404688557856 69003607032836784 138007214065673568
- Sum of all divisors σ(n): 546100030235934720
- Sum of proper divisors (its aliquot sum) s(n): 408092816170261152
- 138007214065673568 is an abundant number, because the sum of its proper divisors (408092816170261152) is greater than itself. Its abundance is 270085602104587584
Bases of 138007214065673568
- Binary: 1111010100100110011010100011110101101001101100101011000002
- Hexadecimal: 0x1EA4CD47AD36560
- Base-36: 11QVH2WE1080
Squares and roots of 138007214065673568
- 138007214065673568 squared (1380072140656735682) is 19045991134168648310552121533850624
- 138007214065673568 cubed (1380072140656735683) is 2628484175546133553362326942967261181499139257106432
-
The
square root of 138007214065673568 is 371493222.0992377245 -
The
cube root of 138007214065673568 is 516773.9298526651
Scales and comparisons
How big is 138007214065673568?- 138,007,214,065,673,568 seconds is equal to 4,388,202,522 years, 49 weeks, 1 day, 16 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,007,214,065,673,568 would take you about thirteen billion, one hundred sixty-four million, six hundred seven thousand, five hundred sixty-eight 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 138007214065673568 cubic inches would be around 43064.5 feet tall.
Recreational maths with 138007214065673568
- 138007214065673568 backwards is 865376560412700831
- 138007214065673568 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138007214065673568's digits is 72
- More coming soon!
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"Number 138007214065673568 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138007214065673568 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138007214065673568/
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Numbermatics. 2024. "Number 138007214065673568 - Facts about the integer". https://numbermatics.com/n/138007214065673568/
The information we have on file for 138007214065673568 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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