138085343760
138,085,343,760 is an even composite number composed of eight prime numbers multiplied together.
138085343760 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138085343760:
24 × 3 × 5 × 72 × 132 × 17 × 61 × 67
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 17 × 61 × 67)See below for interesting mathematical facts about the number 138085343760 from the Numbermatics database.
Names of 138085343760
- Cardinal: 138085343760 can be written as One hundred thirty-eight billion, eighty-five million, three hundred forty-three thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3808534376 × 1011
Factors of 138085343760
Divisors of 138085343760
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 34 35 39 40 42 48 49 51 52 56 60 61 65 67 68 70 78 80 84 85 91 98 102 104 105 112 119 120 122 130 134 136 140 147 156 168 169 170 182 183 195 196 201 204 208 210 221 238 240 244 245 255 260 268 272 273 280 294 305 312 335 336 338 340 357 364 366 390 392 402 408 420 427 442 455 469 476 488 490 507 510 520 536 546 560 588 595 610 624 637 663 670 676 680 714 728 732 735 780 784 793 804 816 833 840 845 854 871 884 910 915 938 952 976 980 1005 1014 1020 1037 1040 1072 1092 1105 1139 1176 1183 1190 1220 1274 1281 1326 1340 1352 1360 1365 1407 1428 1456 1464 1470 1547 1560 1586 1608 1666 1680 1690 1708 1742 1768 1785 1820 1830 1876 1904 1911 1960 2010 2028 2040 2074 2135 2184 2210 2278 2345 2352 2366 2379 2380 2440 2499 2535 2548 2562 2613 2652 2680 2704 2730 2814 2856 2873 2928 2940 2989 3094 3111 3120 3172 3185 3216 3283 3315 3332 3380 3416 3417 3484 3536 3549 3570 3640 3660 3752 3822 3920 3965 4020 4056 4080 4087 4148 4165 4270 4355 4368 4420 4556 4641 4690 4732 4758 4760 4880 4998 5070 5096 5124 5185 5226 5304 5360 5460 5551 5628 5695 5712 5746 5880 5915 5978 6097 6188 6222 6344 6370 6405 6566 6630 6664 6760 6832 6834 6968 7035 7098 7140 7259 7280 7320 7504 7644 7735 7930 7973 8040 8112 8174 8281 8296 8330 8540 8619 8710 8840 8967 9112 9282 9380 9464 9516 9520 9555 9849 9996 10140 10192 10248 10309 10370 10452 10608 10829 10920 11102 11256 11323 11390 11492 11760 11830 11895 11956 12194 12261 12376 12444 12495 12688 12740 12810 13065 13132 13260 13328 13481 13520 13668 13936 14070 14196 14280 14365 14518 14640 14807 14945 15288 15470 15555 15860 15946 16080 16348 16415 16562 16592 16653 16660 17080 17085 17238 17420 17680 17745 17934 18224 18291 18564 18760 18928 19032 19110 19698 19992 20111 20280 20435 20496 20618 20740 20904 21658 21777 21840 22204 22512 22646 22780 22984 23205 23660 23790 23912 23919 24388 24522 24752 24843 24888 24990 25480 25620 26130 26264 26520 26962 27336 27755 28140 28392 28560 28609 28730 29036 29614 29890 30485 30576 30927 30940 31110 31720 31892 32487 32696 32830 33124 33306 33320 33969 34160 34170 34476 34840 35490 35868 36295 36582 37128 37520 38064 38220 38857 39396 39865 39984 40222 40443 40560 40870 41236 41405 41480 41808 42679 43095 43316 43554 44408 44421 44835 45292 45560 45968 46410 47320 47580 47824 47838 48776 49044 49245 49686 49776 49980 50813 50960 51240 51545 52260 52528 53040 53131 53924 54145 54672 55510 55811 56280 56615 56784 57218 57460 58072 59228 59780 60333 60970 61305 61854 61880 62220 63440 63784 64974 65392 65660 66248 66612 66640 67405 67938 68340 68952 69479 69680 70980 71736 72163 72590 73164 74035 74256 76440 77714 78792 79261 79730 80444 80886 81740 82472 82810 82960 83265 85358 85827 86190 86632 87108 88816 88842 89670 90584 91120 91455 92820 94367 94640 95160 95676 97552 98088 98490 99372 99960 100555 101626 102480 103090 103649 104520 106262 107848 108290 108885 111020 111622 112560 113230 114436 114920 116144 116571 118456 119560 119595 120666 121940 122610 123708 123760 124215 124440 127568 128037 129948 131320 132496 133224 134810 135876 136680 137904 138958 140777 141960 143045 143472 144326 145180 146328 148070 152439 152880 154635 155428 157584 158522 159393 159460 160888 161772 162435 163480 164944 165620 166530 167433 169845 170716 171654 172380 173264 174216 175253 177684 179340 181168 182910 185640 188734 190320 191352 192491 194285 196176 196980 198744 199920 200263 201110 202215 203252 206180 207298 208437 209040 212524 213395 215696 216489 216580 217770 222040 222105 223244 226460 228872 229840 233142 236912 237783 239120 239190 241332 243880 245220 247416 248430 248880 254065 256074 259896 262640 265655 266448 269620 271752 273360 277916 279055 281554 283101 283920 286090 288652 290360 292656 296140 301665 304878 309270 310856 310947 317044 318786 318920 321776 323544 324870 326960 331240 333060 334866 339690 341432 343308 344760 347395 348432 350506 355368 358680 360815 365820 371280 371917 377468 382704 384982 388570 393960 396305 397488 400526 402220 404430 406504 412360 414596 416874 422331 425048 426790 429135 432978 433160 435540 444080 444210 446488 452920 457744 466284 471835 475566 478380 482664 486353 487760 490440 494832 496860 505141 508130 512148 518245 519792 525759 531310 539240 543504 554827 555832 558110 563108 566202 572180 577304 577473 580720 582855 592280 600789 603330 609756 618540 621712 621894 634088 637572 637840 640185 647088 649740 660569 662480 666120 669732 679380 682864 686616 689520 690703 694790 701012 703885 710736 717360 721630 725543 731640 743834 754936 762195 769964 777140 787920 792610 796965 801052 804440 808860 813008 824720 829192 833748 837165 844662 850096 853580 858270 865956 866320 871080 876265 888420 892976 903227 905840 932568 943670 951132 956760 962455 965328 972706 980880 993720 1001315 1010282 1016260 1024296 1036490 1042185 1051518 1062620 1078480 1082445 1109654 1111664 1115751 1116220 1126216 1132404 1144360 1154608 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10883145 11051248 11096540 11157510 11262160 11324040 11549460 11608688 11672472 11741951 12015780 12123384 12195120 12267710 12437880 12645178 12751440 13017095 13211380 13315848 13394640 13474370 13548405 13617884 13814060 14020240 14451632 14504763 14510860 14590590 14721252 14876680 15154230 15399280 15620514 15853656 16021040 16169244 16576872 16644810 16674960 16893240 17022355 17174794 17319120 17413032 17852016 18064540 18401565 18864118 18967767 19022640 19339684 19454120 19628336 19817070 20205640 20211555 20426826 20721090 20827352 21030360 21558992 21677448 21766290 22193080 22315020 22648080 23098920 23344944 23483902 24031560 24174605 24246768 24535420 24875760 25290356 25762191 26034190 26422760 26631696 26948740 27096810 27235768 27628120 28296177 29009526 29021720 29181180 29442504 29753360 30308460 31241028 31612945 31707312 32338488 33153744 33289620 33786480 33844447 34044710 34349588 34826064 35225853 36129080 36803130 37728236 37935534 38679368 38908240 39051285 39634140 40411280 40423110 40853652 41442180 41654704 42060720 42936985 43354896 43532580 44258123 44386160 44630040 46197840 46967804 47160295 48063120 48349210 49070840 50580712 51067065 51524382 52068380 52845520 53897480 54193620 54471536 55256240 56592354 58019052 58043440 58362360 58709755 58885008 60616920 62482056 63225890 64676976 66579240 67688894 68089420 68699176 70451706 72258160 72523815 73606260 75456472 75871068 77358736 78102570 79268280 80846220 81707304 82193657 82884360 85873970 87065160 88516246 89260080 93935608 94320590 94838835 96698420 98141680 101161424 101533341 102134130 103048764 104136760 107794960 108387240 113184708 116038104 116724720 117419510 121233840 124964112 126451780 128810955 132774369 133158480 135377788 136178840 137398352 140903412 141480885 145047630 147212520 150912944 151742136 156205140 158536560 161692440 163414608 164387314 165768720 169222235 171747940 174130320 176129265 177032492 187871216 188641180 189677670 193396840 203066682 204268260 206097528 208273520 216774480 221290615 226369416 232076208 234839020 246580971 252903560 257621910 265548738 270755576 272357680 281806824 282961770 290095260 294425040 303484272 312410280 323384880 328774628 338444470 343495880 352258530 354064984 377282360 379355340 386793680 406133364 408536520 410968285 412195056 442581230 452738832 469678040 493161942 505807120 507666705 515243820 531097476 541511152 563613648 565923540 575355599 580190520 624820560 657549256 663871845 676888940 686991760 704517060 708129968 754564720 758710680 812266728 817073040 821936570 885162460 939356080 986323884 1015333410 1030487640 1062194952 1131847080 1150711198 1160381040 1232904855 1315098512 1327743690 1353777880 1409034120 1517421360 1624533456 1643873140 1726066797 1770324920 1972647768 2030666820 2060975280 2124389904 2263694160 2301422396 2465809710 2655487380 2707555760 2818068240 2876777995 3287746280 3452133594 3540649840 3945295536 4061333640 4602844792 4931619420 5310974760 5753555990 6575492560 6904267188 8122667280 8630333985 9205689584 9863238840 10621949520 11507111980 13808534376 17260667970 19726477680 23014223960 27617068752 34521335940 46028447920 69042671880 138085343760
- Sum of all divisors σ(n): 588941269632
- Sum of proper divisors (its aliquot sum) s(n): 450855925872
- 138085343760 is an abundant number, because the sum of its proper divisors (450855925872) is greater than itself. Its abundance is 312770582112
Bases of 138085343760
- Binary: 100000001001101000011100100010000100002
- Hexadecimal: 0x2026872210
- Base-36: 1RFOG55C
Squares and roots of 138085343760
- 138085343760 squared (1380853437602) is 19067562161317370937600
- 138085343760 cubed (1380853437603) is 2632950875710677740377929509376000
-
The
square root of 138085343760 is 371598.3635055461 -
The
cube root of 138085343760 is 5168.7143145221
Scales and comparisons
How big is 138085343760?- 138,085,343,760 seconds is equal to 4,390 years, 35 weeks, 4 days, 23 hours, 56 minutes.
-
To count from 1 to 138,085,343,760 would take you about eight thousand, seven hundred eighty-one 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 138085343760 cubic inches would be around 430.7 feet tall.
Recreational maths with 138085343760
- 138085343760 backwards is 067343580831
- 138085343760 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138085343760's digits is 48
- More coming soon!
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The information we have on file for 138085343760 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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