138303564672
138,303,564,672 is an even composite number composed of seven prime numbers multiplied together.
138303564672 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138303564672:
27 × 3 × 72 × 132 × 23 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 23 × 31 × 61)See below for interesting mathematical facts about the number 138303564672 from the Numbermatics database.
Names of 138303564672
- Cardinal: 138303564672 can be written as One hundred thirty-eight billion, three hundred three million, five hundred sixty-four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38303564672 × 1011
Factors of 138303564672
Divisors of 138303564672
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 31 32 39 42 46 48 49 52 56 61 62 64 69 78 84 91 92 93 96 98 104 112 122 124 128 138 147 156 161 168 169 182 183 184 186 192 196 208 217 224 244 248 273 276 294 299 312 322 336 338 364 366 368 372 384 392 403 416 427 434 448 483 488 496 507 546 552 588 598 624 637 644 651 672 676 713 728 732 736 744 784 793 806 832 854 868 896 897 966 976 992 1014 1092 1104 1127 1176 1183 1196 1209 1248 1274 1281 1288 1302 1344 1352 1403 1426 1456 1464 1472 1488 1519 1568 1586 1612 1664 1708 1736 1794 1891 1911 1932 1952 1984 2028 2093 2139 2184 2208 2254 2352 2366 2379 2392 2418 2496 2548 2562 2576 2604 2688 2704 2806 2821 2852 2912 2928 2944 2976 2989 3038 3136 3172 3224 3381 3416 3472 3549 3588 3782 3822 3864 3887 3904 3968 4056 4186 4209 4278 4368 4416 4508 4557 4704 4732 4758 4784 4836 4991 4992 5096 5124 5152 5208 5239 5408 5551 5612 5642 5673 5704 5824 5856 5952 5978 6076 6272 6279 6344 6448 6762 6832 6944 7098 7176 7564 7644 7728 7774 7808 8112 8281 8372 8418 8463 8556 8736 8832 8967 9016 9114 9269 9408 9464 9516 9568 9672 9821 9982 10192 10248 10304 10309 10416 10478 10816 11102 11224 11284 11346 11408 11648 11661 11712 11904 11956 12152 12558 12688 12896 13237 13524 13664 13888 14196 14352 14651 14973 15128 15288 15456 15548 15717 16224 16562 16653 16744 16836 16926 17112 17472 17934 18032 18228 18239 18538 18816 18928 19032 19136 19344 19642 19747 19964 20384 20496 20608 20618 20832 20956 21632 22204 22448 22568 22692 22816 23322 23424 23912 24304 24583 24843 25116 25376 25792 26474 27048 27209 27328 27776 27807 28392 28704 29302 29463 29946 30256 30576 30912 30927 31096 31434 32448 33124 33306 33488 33672 33852 34224 34937 34944 35868 36064 36456 36478 36673 37076 37856 38064 38272 38688 38857 39284 39494 39711 39928 40768 40992 41236 41664 41912 43493 43953 44408 44896 45136 45384 45632 46644 47824 48608 49166 49686 50232 50752 51584 52948 54096 54418 54656 54717 55614 56784 57408 58604 58926 59241 59892 60512 61152 61824 61854 62192 62868 64883 64896 66248 66612 66976 67344 67704 68448 68747 69874 71736 72128 72163 72912 72956 73346 73749 74152 75712 76128 77376 77714 78568 78988 79422 79856 81536 81627 81984 82472 83328 83824 86986 87906 88816 89792 90272 90768 91264 92659 93288 95648 97216 98332 99372 100464 101504 104811 105896 108192 108836 109434 110019 111228 113568 114816 116571 117208 117852 118482 119784 120497 121024 122304 123708 124384 125736 127673 129766 130479 132496 133224 133952 134688 135408 136896 137494 139748 143472 144256 144326 145824 145912 146692 147498 148304 151424 152256 154752 155428 157136 157976 158844 159712 163254 163968 164944 167648 172081 173972 175812 177632 179584 180544 181536 185318 186576 190463 191296 194432 194649 196664 198744 200928 206241 209622 211792 216384 216489 217672 218868 220038 222456 227136 233142 234416 235704 236964 237107 239568 240994 242048 244608 247416 248768 251472 255346 256711 259532 260958 264992 266448 267904 269376 270816 273792 274988 277977 279496 286944 288652 291648 291824 293384 294996 296608 304451 304512 310856 314272 315952 317688 319424 319579 326508 329888 335296 344162 347944 351624 355264 361088 361491 363072 370636 373152 380926 382592 383019 389298 393328 397488 401856 412482 419244 423584 432768 432978 435344 437736 440076 444912 454181 454272 466284 468832 471408 473928 474214 479136 481988 494832 497536 502944 505141 510692 513422 516243 519064 521916 529984 532896 538752 541632 549976 555954 558992 565409 571389 573888 577304 583296 583648 586768 589992 593216 608902 621712 628544 631904 635376 638848 639158 653016 659776 670592 688324 695888 703248 710528 711321 722982 726144 741272 746304 761852 766038 770133 778596 786656 794976 803712 824964 838488 843479 847168 865956 870688 875472 880152 889824 893711 908362 913353 932568 937664 942816 947856 948428 958272 958737 963976 989664 1005888 1010282 1021384 1026844 1032486 1038128 1043832 1059968 1065792 1083264 1099952 1111908 1117984 1130818 1142778 1147776 1154608 1167296 1173536 1179984 1186432 1204567 1217804 1243424 1257088 1263808 1270752 1278316 1306032 1319552 1362543 1376648 1391776 1406496 1422642 1445964 1482544 1492608 1515423 1523704 1532076 1540266 1557192 1573312 1589952 1649928 1659749 1676976 1686958 1694336 1696227 1731912 1741376 1750944 1760304 1779648 1787422 1816724 1826706 1865136 1875328 1885632 1895712 1896856 1916544 1917474 1927952 1979328 2011776 2020564 2042768 2053688 2064972 2076256 2087664 2131157 2131584 2199904 2223816 2235968 2237053 2261636 2285556 2309216 2334592 2347072 2359968 2409134 2435608 2486848 2527616 2530437 2541504 2556632 2612064 2681133 2725086 2753296 2783552 2812992 2845284 2891928 2965088 3030846 3047408 3064152 3080532 3114384 3146624 3179904 3299856 3319498 3353952 3373916 3392454 3463824 3482752 3501888 3520608 3559296 3574844 3613701 3633448 3653412 3730272 3771264 3791424 3793712 3834948 3855904 3957863 3958656 4041128 4085536 4107376 4129944 4152512 4175328 4262314 4399808 4447632 4471936 4474106 4523272 4571112 4618432 4694144 4719936 4818268 4871216 4973696 4979247 5060874 5083008 5113264 5224128 5362266 5450172 5506592 5567104 5625984 5690568 5783856 5904353 5930176 6061692 6094816 6128304 6161064 6228768 6393471 6599712 6638996 6707904 6711159 6747832 6784908 6927648 7003776 7041216 7149688 7227402 7266896 7306824 7350317 7460544 7582848 7587424 7669896 7711808 7915726 8082256 8171072 8214752 8259888 8305024 8350656 8524628 8799616 8895264 8948212 9046544 9142224 9236864 9439872 9636536 9742432 9958494 10121748 10226528 10448256 10724532 10900344 11013184 11381136 11567712 11618243 11808706 11860352 11873589 12123384 12189632 12256608 12322128 12457536 12786942 13199424 13277992 13415808 13422318 13495664 13569816 13855296 14082432 14299376 14454804 14533792 14613648 14700634 14921088 15174848 15339792 15423616 15659371 15831452 16164512 16342144 16429504 16519776 16701312 17049256 17713059 17790528 17896424 18093088 18284448 19273072 19484864 19916988 20243496 20453056 21449064 21800688 22026368 22050951 22762272 23135424 23236486 23617412 23747178 24246768 24379264 24513216 24644256 24915072 25573884 26398848 26555984 26844636 26991328 27139632 27705041 27710592 28598752 28909608 29067584 29227296 29401268 30349696 30679584 31318742 31662904 32329024 32859008 33039552 34098512 34854729 35426118 35581056 35792848 36186176 36568896 38546144 38969728 39833976 40486992 40906112 42898128 43601376 44101902 45524544 46270848 46472972 46978113 47234824 47494356 48493536 49026432 49288512 51147768 51452219 53111968 53689272 53982656 54279264 55410082 57197504 57819216 58135168 58454592 58802536 61359168 62637484 63325808 64658048 66079104 68197024 69709458 70852236 71585696 72372352 73137792 77092288 79667952 80973984 83115123 85796256 87202752 88203804 91049088 92945944 93956226 94469648 94988712 96987072 98577024 102295536 102904438 106223936 107378544 107965312 108558528 110820164 114395008 115638432 116909184 117605072 122718336 125274968 126651616 136394048 139418916 141704472 143171392 154184576 154356657 159335904 161947968 166230246 171592512 174405504 176407608 185891888 187912452 188939296 189977424 193974144 204591072 205808876 212447872 214757088 217117056 221640328 231276864 235210144 250549936 253303232 272788096 278837832 283408944 286342784 308713314 318671808 323895936 332460492 343185024 352815216 360165533 371783776 375824904 377878592 379954848 409182144 411617752 429514176 443280656 462553728 470420288 501099872 506606464 557675664 566817888 617426628 637343616 664920984 705630432 720331066 743567552 751649808 755757184 759909696 818364288 823235504 859028352 886561312 940840576 1002199744 1080496599 1115351328 1133635776 1234853256 1329841968 1411260864 1440662132 1487135104 1503299616 1519819392 1646471008 1773122624 2004399488 2160993198 2230702656 2267271552 2469706512 2659683936 2822521728 2881324264 3006599232 3292942016 3546245248 4321986396 4461405312 4939413024 5319367872 5762648528 6013198464 6585884032 8643972792 9878826048 10638735744 11525297056 17287945584 19757652096 23050594112 34575891168 46101188224 69151782336 138303564672
- Sum of all divisors σ(n): 506616145920
- Sum of proper divisors (its aliquot sum) s(n): 368312581248
- 138303564672 is an abundant number, because the sum of its proper divisors (368312581248) is greater than itself. Its abundance is 230009016576
Bases of 138303564672
- Binary: 100000001100111000100011101011100000002
- Hexadecimal: 0x203388EB80
- Base-36: 1RJADDHC
Squares and roots of 138303564672
- 138303564672 squared (1383035646722) is 19127876000982086467584
- 138303564672 cubed (1383035646723) is 2645453435539822731282999775592448
-
The
square root of 138303564672 is 371891.8722854803 -
The
cube root of 138303564672 is 5171.4356458329
Scales and comparisons
How big is 138303564672?- 138,303,564,672 seconds is equal to 4,397 years, 32 weeks, 3 days, 16 hours, 51 minutes, 12 seconds.
-
To count from 1 to 138,303,564,672 would take you about eight thousand, seven hundred ninety-five 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 138303564672 cubic inches would be around 431 feet tall.
Recreational maths with 138303564672
- 138303564672 backwards is 276465303831
- 138303564672 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138303564672's digits is 48
- More coming soon!
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The information we have on file for 138303564672 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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