138127315181856
138,127,315,181,856 is an even composite number composed of nine prime numbers multiplied together.
138127315181856 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 138127315181856:
25 × 3 × 7 × 11 × 13 × 17 × 31 × 612 × 733
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 17 × 31 × 61 × 61 × 733)See below for interesting mathematical facts about the number 138127315181856 from the Numbermatics database.
Names of 138127315181856
- Cardinal: 138127315181856 can be written as One hundred thirty-eight trillion, one hundred twenty-seven billion, three hundred fifteen million, one hundred eighty-one thousand, eight hundred fifty-six.
Scientific notation
- Scientific notation: 1.38127315181856 × 1014
Factors of 138127315181856
Divisors of 138127315181856
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 31 32 33 34 39 42 44 48 51 52 56 61 62 66 68 77 78 84 88 91 93 96 102 104 112 119 122 124 132 136 143 154 156 168 176 182 183 186 187 204 208 217 221 224 231 238 244 248 264 272 273 286 308 312 336 341 352 357 364 366 372 374 403 408 416 427 429 434 442 462 476 488 496 527 528 544 546 561 572 616 624 651 663 671 672 682 714 728 732 733 744 748 793 806 816 854 858 868 884 924 952 976 992 1001 1023 1037 1054 1056 1092 1122 1144 1209 1232 1248 1281 1302 1309 1326 1342 1364 1428 1456 1464 1466 1488 1496 1547 1581 1586 1612 1632 1708 1716 1736 1768 1848 1891 1904 1952 2002 2013 2046 2074 2108 2184 2199 2244 2288 2379 2387 2418 2431 2464 2562 2604 2618 2652 2684 2728 2821 2856 2912 2928 2932 2976 2992 3003 3094 3111 3162 3172 3224 3416 3432 3472 3536 3689 3696 3721 3782 3808 3927 4004 4026 4092 4148 4216 4368 4398 4433 4488 4576 4641 4697 4758 4774 4836 4862 5124 5131 5208 5236 5304 5368 5456 5551 5642 5673 5712 5797 5856 5864 5984 6006 6188 6222 6324 6344 6448 6832 6851 6864 6944 7072 7161 7259 7293 7378 7392 7442 7564 7854 8008 8052 8063 8184 8296 8432 8463 8723 8736 8796 8866 8976 9282 9394 9516 9529 9548 9672 9724 10248 10262 10416 10472 10608 10736 10912 11067 11102 11163 11284 11346 11407 11424 11594 11728 12012 12376 12444 12461 12648 12688 12896 13237 13299 13481 13664 13702 13728 14091 14322 14518 14586 14756 14884 15128 15393 15708 16016 16104 16126 16368 16592 16653 16864 16926 17017 17391 17446 17592 17732 17952 18564 18788 19032 19058 19096 19344 19448 20496 20524 20553 20801 20832 20944 21216 21472 21777 22134 22204 22326 22568 22692 22723 22814 23188 23456 24024 24189 24583 24752 24888 24922 25296 25376 26047 26169 26474 26598 26962 27404 28182 28587 28644 29036 29172 29512 29768 30256 30786 31031 31416 32032 32147 32208 32252 32736 33184 33306 33852 34034 34221 34782 34892 35184 35464 37128 37383 37576 38064 38116 38192 38688 38896 39711 40443 40579 40931 40992 41048 41106 41602 41888 43554 44268 44408 44652 44713 45136 45384 45446 45628 46376 47957 48048 48373 48378 49166 49504 49776 49844 50592 51051 52094 52338 52948 53196 53924 54808 56364 56441 57174 57288 58072 58344 59024 59536 60512 61061 61572 62062 62403 62832 63257 64294 64416 64504 66612 66703 67704 68068 68169 68442 69564 69784 70368 70928 73749 74256 74766 75152 75361 76128 76232 76384 77792 78141 79422 79849 80886 81158 81862 82096 82212 83204 87108 87227 88536 88816 89304 89426 90272 90768 90892 91256 92752 93093 94367 95914 96096 96441 96746 96756 98332 99552 99688 102102 104188 104676 104819 105896 106392 107848 109616 112728 112882 114348 114576 115351 116144 116688 118048 119072 121737 122122 122793 123144 124124 124806 125664 126514 128588 129008 133224 133406 134139 135408 136136 136338 136884 137071 139128 139568 141856 143871 145119 145607 147498 148291 148512 149532 150304 150722 152464 156282 158844 159061 159698 161772 161993 162316 163724 164192 164424 166408 169323 172081 174216 174454 177072 177632 178608 178852 181536 181784 182512 183183 185504 186186 188734 189771 191828 192882 193492 193512 196664 199376 200109 204204 208376 209352 209638 211792 212784 215696 219232 225029 225456 225764 226083 228696 229152 230702 232288 233376 239547 243474 244244 245586 246288 248248 249612 249953 253028 257176 258016 261681 266448 266812 268278 270413 270816 272272 272676 273768 274142 278256 279136 283101 286517 287742 290238 291214 294996 295399 296582 299064 301444 304928 312564 312991 314457 317688 318122 319396 323544 323986 324632 327448 328848 332816 338611 338646 344162 346053 348432 348908 353617 354144 357216 357704 363568 365024 366366 372372 377468 379542 383656 385764 386291 386984 387024 393328 398752 400218 408408 411213 416752 417911 418704 419276 423584 425568 431392 436821 442799 444873 450058 450912 451528 452166 457392 461404 477183 479094 485979 486948 488488 491172 491843 492576 496496 499224 499906 506056 514352 516243 523362 527527 532103 532896 533624 536556 540826 544544 545352 547536 548284 556512 566202 573034 575484 580476 581269 582428 589992 590798 593164 598128 602888 625128 625982 628914 635376 636244 638792 647088 647972 649264 654896 657696 665632 675087 677222 677292 688324 692106 695827 696864 697816 707234 715408 727136 732732 733733 744744 749859 754936 759084 760121 767312 771528 772582 773968 774048 786656 800436 807457 811239 816816 822341 822426 833504 835822 837408 838552 859551 873642 885598 886197 889746 900116 903056 904332 914784 922808 938973 954366 958188 959497 971958 973896 976976 982344 983686 992992 998448 999812 1012112 1015833 1028704 1032486 1038037 1046724 1055054 1060851 1064206 1067248 1073112 1081652 1090704 1095072 1096568 1132404 1133951 1146068 1150968 1158873 1160952 1162538 1164856 1179984 1181596 1186328 1196256 1205776 1250256 1251964 1253733 1257828 1268861 1270752 1272488 1277584 1294176 1295944 1298528 1309792 1328397 1350174 1354444 1354584 1376648 1384212 1386103 1391654 1395632 1414468 1430816 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10061721677 10080814128 10108849179 10246073376 10386293344 10434941088 10710865011 10886452962 10920881972 11084769696 11099912824 11160901356 11499110488 11777567802 11913689424 12090976469 12108995808 12174097936 12240988584 12373673312 12441660528 12481007968 12658295013 12865808046 13021051582 13190156148 13261070966 13460077488 13478465572 14204783544 14281153348 14466622872 14495468064 14515270616 14703780624 14881201808 15388515506 15579440016 15703423736 15811276921 15834840672 16321318112 16381322958 16649869236 16877726684 17131007712 17154410728 17248665732 17586874864 18261146904 18560509968 18686054543 18721511952 18939711392 19028421984 19288830496 19531577373 19891606449 20123443354 20161628256 20217698358 21421730022 21772905924 21841763944 22199825648 22321802712 22998220976 23082773259 23555135604 23587314751 23827378848 24181952938 24348195872 24481977168 24883321056 25316590026 25731616092 26042103164 26380312296 26522141932 26920154976 26956931144 28409567088 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742619974096 754794072032 758941292208 784814290806 822186399892 885431507576 896930618064 965925280992 1015642023396 1046419054408 1113929961144 1132191108048 1160733741024 1233279599838 1328147261364 1354189364528 1438826199811 1485239948192 1517882584416 1569628581612 1644372799784 1770863015152 1793861236128 2031284046792 2092838108816 2227859922288 2264382216096 2466559199676 2656294522728 2708378729056 2877652399622 3139257163224 3288745599568 3541726030304 4062568093584 4185676217632 4316478599433 4455719844576 4933118399352 5312589045456 5755304799244 6278514326448 6577491199136 8125136187168 8632957198866 9866236798704 10625178090912 11510609598488 12557028652896 17265914397732 19732473597408 23021219196976 34531828795464 46042438393952 69063657590928 138127315181856
- Sum of all divisors σ(n): 541694834343936
- Sum of proper divisors (its aliquot sum) s(n): 403567519162080
- 138127315181856 is an abundant number, because the sum of its proper divisors (403567519162080) is greater than itself. Its abundance is 265440203980224
Bases of 138127315181856
- Binary: 111110110100000010001011000111000100001001000002
- Hexadecimal: 0x7DA0458E2120
- Base-36: 1CYMT948IO
Squares and roots of 138127315181856
- 138127315181856 squared (1381273151818562) is 19079155199347787026351604736
- 138127315181856 cubed (1381273151818563) is 2635352483623858421074372565589161270870016
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The
square root of 138127315181856 is 11752757.7692155299 -
The
cube root of 138127315181856 is 51692.3794313977
Scales and comparisons
How big is 138127315181856?- 138,127,315,181,856 seconds is equal to 4,392,021 years, 19 weeks, 13 hours, 37 minutes, 36 seconds.
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To count from 1 to 138,127,315,181,856 would take you about ten million, nine hundred eighty thousand and fifty-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 138127315181856 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138127315181856
- 138127315181856 backwards is 658181513721831
- The number of decimal digits it has is: 15
- The sum of 138127315181856's digits is 60
- More coming soon!
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The information we have on file for 138127315181856 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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