138529365334416
138,529,365,334,416 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138529365334416 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138529365334416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138529365334416:
24 × 33 × 72 × 29 × 312 × 432 × 127
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 29 × 31 × 31 × 43 × 43 × 127)See below for interesting mathematical facts about the number 138529365334416 from the Numbermatics database.
Names of 138529365334416
- Cardinal: 138529365334416 can be written as One hundred thirty-eight trillion, five hundred twenty-nine billion, three hundred sixty-five million, three hundred thirty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38529365334416 × 1014
Factors of 138529365334416
Divisors of 138529365334416
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 31 36 42 43 48 49 54 56 58 62 63 72 84 86 87 93 98 108 112 116 124 126 127 129 144 147 168 172 174 186 189 196 203 216 217 232 248 252 254 258 261 279 294 301 336 344 348 372 378 381 387 392 406 432 434 441 464 496 504 508 516 522 558 588 602 609 651 688 696 744 756 762 774 783 784 812 837 868 882 889 899 903 961 1008 1016 1032 1044 1116 1143 1161 1176 1204 1218 1247 1302 1323 1333 1392 1421 1488 1512 1519 1524 1548 1566 1624 1674 1736 1764 1778 1798 1806 1827 1849 1922 1953 2032 2064 2088 2107 2232 2286 2322 2352 2408 2436 2494 2604 2646 2666 2667 2697 2709 2842 2883 3024 3038 3048 3096 3132 3248 3348 3429 3472 3528 3556 3596 3612 3654 3683 3698 3741 3844 3906 3937 3999 4176 4214 4263 4464 4557 4572 4644 4816 4872 4988 5208 5292 5332 5334 5394 5418 5461 5481 5547 5684 5766 5859 6076 6096 6192 6223 6264 6293 6321 6696 6727 6858 7056 7112 7192 7224 7308 7366 7396 7482 7688 7812 7874 7998 8001 8091 8127 8428 8526 8649 8729 9114 9144 9288 9331 9744 9976 10416 10584 10664 10668 10788 10836 10922 10962 11049 11094 11223 11368 11532 11718 11811 11997 12152 12446 12528 12586 12642 12789 12943 13392 13454 13671 13716 14224 14384 14448 14616 14732 14792 14964 15376 15624 15748 15996 16002 16182 16254 16383 16641 16856 17052 17298 17458 18228 18288 18576 18662 18669 18879 18963 19952 20181 21168 21328 21336 21576 21672 21844 21924 22098 22188 22446 22736 23064 23436 23622 23994 24003 24273 24304 24892 25172 25284 25578 25781 25886 25947 26187 26908 27342 27432 27559 27869 27993 29232 29464 29584 29928 31248 31496 31992 32004 32364 32508 32766 33147 33282 33669 33712 34104 34596 34916 35433 35991 36456 37324 37338 37758 37926 38227 38367 38657 38829 40362 41013 41323 42672 43152 43344 43688 43848 44051 44196 44376 44892 46128 46872 47089 47244 47988 48006 48546 49149 49784 49923 50344 50568 51156 51562 51772 51894 52374 53621 53816 54684 54864 55118 55738 55986 56007 56637 56889 57319 58928 59856 60543 61103 62992 63984 64008 64728 65016 65317 65532 66294 66564 67338 68208 69192 69832 70866 71982 72912 74648 74676 75516 75852 76454 76734 77314 77343 77658 78561 80724 82026 82646 82677 83607 83979 87376 87696 88102 88392 88752 89784 90601 93744 94178 94488 95976 96012 97092 98298 99441 99568 99846 100688 101136 102312 103124 103544 103788 104748 106299 107242 107632 109368 110236 111476 111972 112014 113274 113778 114173 114638 114681 115971 116487 121086 122047 122206 123969 128016 129456 130032 130634 131064 132153 132588 133128 134676 138384 139664 141267 141732 143964 147447 149296 149352 151032 151704 152908 153468 154628 154686 155316 157122 158369 160863 161448 164052 165292 165354 167214 167958 168021 169291 169911 171957 176204 176784 179568 180467 181202 181629 183309 188356 188976 191952 192024 192913 194184 195083 195951 196596 198882 199692 204624 206248 207088 207576 209496 212598 214484 218736 220472 222952 223944 224028 226548 227556 228346 229276 229362 231942 232029 232974 234823 235683 242172 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750694 752463 753424 771652 780332 783804 786384 792918 795528 798768 799211 802466 802767 811797 815409 847602 850392 854329 857936 867783 896112 906192 910224 913384 917104 917448 927768 928116 931896 939292 942732 950214 965178 968688 976376 977648 991752 992124 1003284 1007748 1015746 1027557 1031742 1032129 1043739 1045072 1057224 1070356 1082396 1082802 1087212 1098423 1099854 1108583 1115721 1126041 1130136 1157044 1157478 1170498 1175706 1179576 1185037 1189377 1198367 1203699 1237488 1256976 1266952 1271403 1286904 1322832 1337712 1343664 1344168 1354328 1359288 1365581 1370076 1375656 1376172 1391652 1392174 1397844 1408938 1425321 1443736 1447767 1449616 1453032 1464564 1466472 1487628 1488186 1501388 1504926 1523619 1543304 1547613 1560664 1567608 1585836 1591056 1598422 1604932 1605534 1623594 1624203 1630818 1643761 1649781 1662251 1695204 1700784 1708658 1735566 1736217 1755747 1763559 1776889 1826768 1834896 1855536 1856232 1863792 1878584 1885464 1894193 1900428 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1133572536 1135049328 1144057656 1189225968 1194517296 1207953936 1208407032 1213328592 1217540872 1222958184 1236714744 1237178628 1242683316 1256661756 1266635262 1287064863 1291745448 1303204784 1322501292 1334733932 1337879214 1343328084 1353989418 1369733481 1375827957 1387430296 1391304087 1393080976 1409279592 1426784548 1442833868 1443375066 1466105382 1470931272 1477741139 1529004816 1542918174 1560859083 1567216098 1572374808 1579654321 1585439541 1649571504 1656911088 1675549008 1676177496 1688847016 1716086484 1763335056 1783838952 1791104112 1791775944 1805319224 1811930904 1826311308 1834437276 1855072116 1855767942 1899952893 1924500088 1954807176 1983751938 2002100898 2030984127 2057224232 2081145444 2089621464 2113919388 2120877648 2130696526 2140176822 2164250802 2165062599 2199158073 2267145072 2288115312 2314377261 2350824147 2416814064 2435081744 2445916368 2473429488 2474357256 2485366632 2513323512 2524959269 2533270524 2574129726 2583490896 2645002584 2669467864 2675758428 2686656168 2707978836 2739466962 2751655914 2774860592 2782608174 2818559184 2853569096 2885667736 2886750132 2932210764 2941862544 2955482278 3003151347 3085836348 3121718166 3134432196 3144749616 3159308642 3170879082 3196044789 3210265233 3246376203 3352354992 3377694032 3432172968 3567677904 3583551888 3610638448 3623861808 3652622616 3668874552 3710144232 3711535884 3799905786 3849000176 3909614352 3967503876 4004201796 4061968254 4109200443 4114448464 4162290888 4179242928 4227838776 4261393052 4280353644 4328501604 4330125198 4398316146 4433223417 4628754522 4682577249 4701648294 4738962963 4948714512 4970733264 5026647024 5049918538 5066541048 5148259452 5290005168 5338935728 5351516856 5373312336 5415957672 5478933924 5503311828 5565216348 5699858679 5707138192 5771335472 5773500264 5864421528 5910964556 6006302694 6092952381 6171672696 6243436332 6268864392 6318617284 6341758164 6392089578 6420530466 6492752406 6495187797 6544282187 6864345936 6943131783 7305245232 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99518222223 103923004752 104708514992 106397362008 111090108528 113735111112 115057612404 117797079366 119319005456 121198044912 124130255676 132690962964 134233881138 136347800526 137429925927 144151264656 153410149872 154092731184 155826057744 157062772488 159596043012 165507007568 170602666668 176695619049 176921283952 178978508184 181797067368 183239901236 186195383514 199036444446 201350821707 212794724016 227470222224 230115224808 235594158732 248260511352 265381925928 268467762276 272695601052 274859851854 279293075271 298554666669 314125544976 319192086024 320669827163 341205333336 353391238098 357957016368 363594134736 366479802472 372390767028 398072888892 402701643414 412289777781 460230449616 471188317464 496521022704 530763851856 536935524552 545391202104 549719703708 558586150542 597109333338 638384172048 641339654326 682410666672 706782476196 732959604944 744781534056 796145777784 805403286828 824579555562 942376634928 962009481489 1073871049104 1090782404208 1099439407416 1117172301084 1194218666676 1236869333343 1282679308652 1413564952392 1489563068112 1592291555568 1610806573656 1649159111124 1924018962978 2198878814832 2234344602168 2388437333352 2473738666686 2565358617304 2827129904784 2886028444467 3221613147312 3298318222248 3848037925956 4468689204336 4776874666704 4947477333372 5130717234608 5772056888934 6596636444496 7696075851912 8658085333401 9894954666744 11544113777868 15392151703824 17316170666802 19789909333488 23088227555736 34632341333604 46176455111472 69264682667208 138529365334416
- Sum of all divisors σ(n): 510184931788800
- Sum of proper divisors (its aliquot sum) s(n): 371655566454384
- 138529365334416 is an abundant number, because the sum of its proper divisors (371655566454384) is greater than itself. Its abundance is 233126201119968
Bases of 138529365334416
- Binary: 111110111111101111000011001110010011001100100002
- Hexadecimal: 0x7DFDE19C9990
- Base-36: 1D3RIFEBO0
Squares and roots of 138529365334416
- 138529365334416 squared (1385293653344162) is 19190385059956097363514061056
- 138529365334416 cubed (1385293653344163) is 2658431862878776905856055302575827682103296
-
The
square root of 138529365334416 is 11769849.8433249351 -
The
cube root of 138529365334416 is 51742.4848893311
Scales and comparisons
How big is 138529365334416?- 138,529,365,334,416 seconds is equal to 4,404,805 years, 16 weeks, 3 days, 19 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,529,365,334,416 would take you about eleven million, twelve thousand and thirteen 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 138529365334416 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138529365334416
- 138529365334416 backwards is 614433563925831
- 138529365334416 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138529365334416's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138529365334416 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 138529365334416 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138529365334416/
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Numbermatics. 2024. "Number 138529365334416 - Facts about the integer". https://numbermatics.com/n/138529365334416/
The information we have on file for 138529365334416 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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