138013885180680
138,013,885,180,680 is an even composite number composed of ten prime numbers multiplied together.
138013885180680 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138013885180680:
23 × 3 × 5 × 19 × 31 × 41 × 43 × 61 × 67 × 271
(2 × 2 × 2 × 3 × 5 × 19 × 31 × 41 × 43 × 61 × 67 × 271)See below for interesting mathematical facts about the number 138013885180680 from the Numbermatics database.
Names of 138013885180680
- Cardinal: 138013885180680 can be written as One hundred thirty-eight trillion, thirteen billion, eight hundred eighty-five million, one hundred eighty thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3801388518068 × 1014
Factors of 138013885180680
Divisors of 138013885180680
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 41 43 57 60 61 62 67 76 82 86 93 95 114 120 122 123 124 129 134 152 155 164 172 183 186 190 201 205 215 228 244 246 248 258 268 271 285 305 310 328 335 344 366 372 380 402 410 430 456 465 488 492 516 536 542 570 589 610 615 620 645 670 732 744 760 779 804 813 817 820 860 915 930 984 1005 1032 1084 1140 1159 1178 1220 1230 1240 1271 1273 1290 1333 1340 1355 1464 1558 1608 1626 1634 1640 1720 1763 1767 1830 1860 1891 2010 2077 2168 2280 2318 2337 2356 2440 2451 2460 2501 2542 2546 2580 2623 2666 2680 2710 2747 2881 2945 3116 3252 3268 3477 3526 3534 3660 3720 3782 3813 3819 3895 3999 4020 4065 4085 4087 4154 4636 4674 4712 4902 4920 5002 5084 5092 5149 5160 5246 5289 5332 5420 5494 5673 5762 5795 5890 6231 6232 6355 6365 6504 6536 6665 6954 7052 7068 7320 7503 7564 7626 7638 7790 7869 7998 8040 8130 8170 8174 8241 8308 8401 8643 8815 8835 9272 9348 9455 9804 10004 10168 10184 10298 10385 10492 10578 10664 10840 10988 11111 11346 11524 11590 11653 11685 11780 12255 12261 12462 12505 12710 12730 13115 13330 13735 13908 14104 14136 14405 15006 15128 15252 15276 15447 15580 15738 15996 16260 16340 16348 16482 16531 16616 16802 17286 17385 17630 17670 18157 18696 18910 19065 19095 19608 19995 20008 20435 20596 20770 20984 21156 21976 22222 22692 23048 23180 23306 23370 23560 24149 24510 24522 24924 25010 25203 25327 25420 25460 25745 26230 26445 26660 27470 27816 28365 28810 30012 30504 30552 30894 31155 31160 31476 31992 32520 32680 32696 32964 33062 33333 33497 33604 34572 34770 34959 35260 35340 35929 36314 37515 37820 38130 38190 39345 39463 39990 40870 41192 41205 41540 42005 42312 43215 44444 45384 46360 46612 46740 47519 48298 49020 49044 49593 49837 49848 50020 50406 50654 50840 50920 51490 52193 52460 52890 53320 54471 54653 54739 54940 55555 56730 57620 58265 60024 61305 61788 62310 62952 65928 66124 66666 66994 67208 69144 69540 69918 70520 70680 71858 72447 72628 75030 75640 75981 76260 76380 77235 77531 77653 78690 78926 79980 81313 81740 82410 82655 83080 84010 85157 86430 88888 89311 90785 93224 93480 95038 96596 98040 98088 99186 99674 100040 100491 100812 101308 102980 104386 104920 105780 107543 107787 108942 109306 109478 109880 111110 113460 115240 116530 118121 118389 120745 122610 123576 124620 126015 126635 126697 132248 133332 133988 139080 139836 142557 143716 144894 145256 149511 150060 151962 152520 152760 154470 155062 155306 156579 157380 157852 159619 159960 162626 163480 163959 164217 164820 165310 166665 167485 167567 168020 170314 172860 174795 175741 178622 179645 181570 190076 193192 197315 198372 199348 200982 201624 202616 205960 208772 211109 211560 215086 215574 217884 218612 218956 221407 222220 226920 232593 232959 233060 236242 236778 237595 241490 243939 245220 247965 249185 249240 252030 253270 253394 255471 260965 266664 267933 267976 272355 273265 273695 279672 285114 287432 289788 299022 300120 303924 308940 310124 310612 313158 314089 314760 315704 319238 322629 325252 327918 328434 329640 330620 333330 334970 335134 336040 340628 344441 344983 345720 349590 351482 354363 357244 359290 361243 362235 363140 379905 380091 380152 387655 388265 394630 396744 398696 401964 406565 417544 422218 425785 430172 431148 435768 437224 437912 442814 444440 446555 465186 465918 466120 472484 473556 475190 477773 478857 482980 487878 490440 495930 498370 502455 502701 504060 506540 506788 510942 512461 521930 527223 535866 537715 538935 544710 546530 547390 562867 570228 579576 590605 591945 598044 607848 617880 620248 621224 626316 628178 633327 633485 638476 645258 650504 655836 656868 661240 664221 666660 669940 670268 677771 681256 688882 689966 699180 702964 708726 710833 712785 714488 718580 722486 724470 726280 744437 747555 759810 760182 775310 776530 780751 782895 789260 798095 803928 813130 819795 821085 837835 844436 851570 860344 862296 878705 885628 893110 930372 931836 942267 944968 947112 950380 955546 957714 965960 975756 991860 996740 1004910 1005402 1008120 1013080 1013576 1021884 1024922 1033323 1034949 1038407 1043860 1054446 1055545 1071732 1075430 1077870 1083729 1089420 1093060 1094780 1107035 1107577 1125734 1140456 1162965 1164795 1181210 1183890 1196088 1219695 1252632 1256356 1266654 1266970 1276952 1277355 1290516 1311672 1313736 1328442 1333320 1339665 1339880 1340536 1355542 1377764 1379932 1398360 1405928 1417452 1421666 1425570 1433319 1437160 1444972 1448940 1473089 1488874 1495110 1519620 1520364 1537383 1544947 1550620 1553060 1561502 1565790 1570445 1578520 1596190 1613145 1617983 1626260 1639590 1642170 1675670 1688601 1688872 1696909 1703140 1722205 1724915 1757410 1771256 1771815 1786220 1806215 1860744 1863672 1884534 1900455 1900760 1911092 1915428 1951512 1983720 1993480 2009820 2010804 2033313 2043317 2043768 2049844 2066646 2069898 2076814 2087720 2108892 2111090 2132499 2143464 2150860 2155740 2167458 2178840 2186120 2189560 2214070 2215154 2233311 2244299 2251468 2325930 2329590 2342253 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1839449356 1900284810 1905032440 1920647460 1952658251 1957088559 1973939260 1984669042 1996035595 2053533585 2060093220 2070228980 2087198070 2093403185 2192366965 2214955628 2233668110 2251266376 2299311695 2368727112 2395242714 2432820116 2484274776 2512083822 2521308120 2525275560 2533713080 2588407449 2609451412 2630840358 2644298760 2680401732 2710406229 2714671227 2724639420 2738044780 2759174034 2768694535 2769305640 2782930760 2814082970 2815460734 2857548660 2904393720 2952800282 2960908890 2977003563 3041025145 3105343470 3193656952 3261814265 3285653736 3322433442 3349445096 3350502165 3376899564 3451209932 3497298360 3507787144 3613874972 3619561636 3649230174 3678898712 3800569620 3841294920 3905316502 3914177118 3947878520 3969338084 3992071190 4107067170 4120186440 4140457960 4174396140 4186806370 4221124455 4223191101 4243969409 4314012415 4384733930 4429200423 4429911256 4467336220 4517343715 4524452045 4598623390 4790485428 4865640232 4961672605 5024167644 5176814898 5218902824 5261680716 5360803464 5420812458 5429342454 5449278840 5476089560 5518348068 5537389070 5628165940 5630921468 5715097320 5857974753 5905600564 5921817780 5954007126 5988106785 6082050290 6210686940 6280209555 6523628530 6577100895 6644866884 6701004330 6753799128 6897935085 6902419864 7038651835 7227749944 7239123272 7298460348 7382000705 7601139240 7810633004 7828354236 7938676168 7984142380 8214134340 8306083605 8348792280 8373612740 8442248910 8446382202 8487938818 8628024830 8769467860 8858400846 8934672440 9034687430 9048904090 9123075435 9197246780 9580970856 9763291255 9785442795 9923345210 10048335288 10353629796 10523361432 10841624916 10858684908 11036696136 11074778140 11256331880 11261842936 11715949506 11811201128 11843635560 11908014252 11976213570 12164100580 12421373880 12560419110 12731908227 12942037245 13047257060 13154201790 13289733768 13402008660 13552031145 13573356135 13795870170 14077303670 14596920696 14764001410 14885017815 15621266008 15656708472 15968284760 16428268680 16612167210 16747225480 16884497820 16892764404 16975877636 17165906117 17256049660 17538935720 17716801692 18069374860 18097808180 18246150870 18394493560 18854355899 19526582510 19570885590 19846690420 20707259592 21115955505 21219847045 21683249832 21717369816 22146002115 22149556280 23431899012 23816028504 23952427140 24328201160 25120838220 25463816454 25884074490 26094514120 26308403580 26746876973 26804017320 27104062290 27146712270 27591740340 28051602679 28154607340 29289873765 29528002820 29770035630 33224334420 33768995640 33785528808 33951755272 34331812234 34512099320 35433603384 36138749720 36195616360 36492301740 37100506769 37708711798 39053165020 39141771180 39693380840 42231911010 42439694090 44292004230 46863798024 47904854280 50241676440 50927632908 51497718351 51768148980 52616807160 53493753946 54208124580 54293424540 55183480680 56103205358 56309214680 56563067697 58579747530 59056005640 59540071260 60532405781 63659541135 66448668840 68663624468 72984603480 74201013538 75417423596 78106330040 78283542360 80240630919 84154808037 84463822020 84879388180 85829530585 88584008460 94271779495 101855265816 102995436702 103536297960 106987507892 108416249160 108586849080 111301520307 112206410716 113126135394 117159495060 119080142520 121064811562 127319082270 133734384865 137327248936 140258013395 148402027076 150834847192 160481261838 168309616074 168927644040 169758776360 171659061170 177168016920 181597217343 185502533845 188543558990 205990873404 213975015784 222603040614 224412821432 226252270788 234318990120 242129623124 254638164540 257488591755 267468769730 280516026790 282815338485 296804054152 302662028905 320962523676 336619232148 343318122340 363194434686 371005067690 377087117980 401203154595 411981746808 420774040185 445206081228 452504541576 484259246248 509276329080 514977183510 534937539460 556507601535 561032053580 565630676970 605324057810 641925047352 673238464296 686636244680 726388869372 742010135380 754174235960 802406309190 841548080370 890412162456 907986086715 1029954367020 1069875078920 1113015203070 1122064107160 1131261353940 1150115709839 1210648115620 1452777738744 1484020270760 1604812618380 1683096160740 1815972173430 2059908734040 2226030406140 2262522707880 2300231419678 2421296231240 3209625236760 3366192321480 3450347129517 3631944346860 4452060812280 4600462839356 5750578549195 6900694259034 7263888693720 9200925678712 11501157098390 13801388518068 17251735647585 23002314196780 27602777036136 34503471295170 46004628393560 69006942590340 138013885180680
- Sum of all divisors σ(n): 488263149158400
- Sum of proper divisors (its aliquot sum) s(n): 350249263977720
- 138013885180680 is an abundant number, because the sum of its proper divisors (350249263977720) is greater than itself. Its abundance is 212235378797040
Bases of 138013885180680
- Binary: 111110110000101110111001001100110101011000010002
- Hexadecimal: 0x7D85DC99AB08
- Base-36: 1CX6PBTNGO
Squares and roots of 138013885180680
- 138013885180680 squared (1380138851806802) is 19047832502665922516245262400
- 138013885180680 cubed (1380138851806803) is 2628865367963759200157663156903618010432000
-
The
square root of 138013885180680 is 11747931.1021421981 -
The
cube root of 138013885180680 is 51678.2256477217
Scales and comparisons
How big is 138013885180680?- 138,013,885,180,680 seconds is equal to 4,388,414 years, 33 weeks, 3 days, 7 hours, 58 minutes.
-
To count from 1 to 138,013,885,180,680 would take you about ten million, nine hundred seventy-one thousand and thirty-six 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 138013885180680 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138013885180680
- 138013885180680 backwards is 086081588310831
- 138013885180680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138013885180680's digits is 60
- More coming soon!
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MLA style:
"Number 138013885180680 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 138013885180680 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138013885180680/
Chicago style:
Numbermatics. 2024. "Number 138013885180680 - Facts about the integer". https://numbermatics.com/n/138013885180680/
The information we have on file for 138013885180680 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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