138076398720

Names of 138076398720

• Cardinal: 138076398720 can be written as One hundred thirty-eight billion, seventy-six million, three hundred ninety-eight thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3807639872 × 10¹¹

Factors of 138076398720

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 183

Divisors of 138076398720

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 37 38 39 40 43 45 48 52 57 60 61 64 65 72 74 76 78 80 86 90 95 96 104 111 114 117 120 122 128 129 130 144 148 152 156 160 171 172 180 183 185 190 192 195 208 215 222 228 234 240 244 247 258 260 285 288 296 304 305 312 320 333 342 344 360 366 370 380 384 387 390 416 430 444 456 468 480 481 488 494 516 520 549 555 559 570 576 585 592 608 610 624 640 645 666 684 688 703 720 732 740 741 760 774 780 793 817 832 855 860 888 912 915 936 960 962 976 988 1032 1040 1098 1110 1118 1140 1152 1159 1170 1184 1216 1220 1235 1248 1290 1332 1368 1376 1406 1440 1443 1464 1480 1482 1520 1548 1560 1586 1591 1634 1664 1665 1677 1710 1720 1776 1824 1830 1872 1920 1924 1935 1952 1976 2064 2080 2109 2196 2220 2223 2236 2257 2280 2318 2340 2368 2379 2405 2432 2440 2451 2470 2496 2580 2623 2664 2736 2745 2752 2795 2812 2880 2886 2928 2960 2964 3040 3096 3120 3172 3182 3268 3330 3354 3420 3440 3477 3515 3552 3648 3660 3705 3744 3848 3870 3904 3952 3965 4085 4128 4160 4218 4329 4392 4440 4446 4472 4514 4560 4636 4680 4736 4758 4773 4810 4880 4902 4940 4992 5031 5160 5246 5328 5472 5490 5504 5590 5624 5760 5772 5795 5856 5920 5928 6080 6192 6240 6327 6344 6364 6536 6660 6708 6771 6840 6880 6954 7030 7104 7137 7215 7296 7320 7353 7410 7488 7696 7740 7808 7869 7904 7930 7955 8170 8256 8320 8385 8436 8658 8784 8880 8892 8944 9028 9120 9139 9272 9360 9516 9546 9620 9760 9804 9880 10062 10320 10431 10492 10545 10621 10656 10944 10980 11115 11180 11248 11285 11544 11590 11712 11840 11856 11895 12160 12255 12384 12480 12654 12688 12728 13072 13115 13320 13416 13542 13680 13760 13908 14060 14208 14274 14319 14430 14640 14706 14820 14976 15067 15392 15480 15738 15808 15860 15910 16340 16512 16770 16872 17316 17385 17568 17760 17784 17888 18056 18240 18278 18544 18720 19032 19092 19240 19520 19608 19760 20124 20313 20640 20683 20862 20984 21090 21242 21312 21645 21888 21960 22230 22360 22496 22570 23088 23180 23424 23607 23680 23712 23790 23865 24510 24768 24960 25155 25308 25376 25456 26144 26230 26640 26832 27084 27360 27417 27520 27816 28120 28548 28638 28860 29280 29341 29412 29640 30134 30229 30784 30960 31476 31616 31635 31720 31820 31863 32680 33540 33744 33855 34099 34632 34770 35136 35520 35568 35685 35776 36112 36480 36556 36765 37088 37440 38064 38184 38480 39040 39216 39345 39520 40248 40626 41280 41366 41724 41968 42180 42484 42624 42883 43290 43920 44460 44720 44992 45140 45201 45695 46176 46360 47214 47424 47580 47730 49020 49536 49837 50310 50616 50752 50912 52155 52288 52460 53105 53280 53664 54168 54720 54834 55632 56240 57096 57276 57720 58560 58682 58824 59280 60268 60458 61568 61920 62049 62952 63270 63440 63640 63726 65360 67080 67488 67710 68198 69264 69540 70272 71040 71136 71370 71552 71595 72224 73112 73530 74176 74880 75335 76128 76368 76960 78432 78690 79040 80496 81252 82251 82560 82732 83448 83936 84360 84968 85766 86580 87840 88023 88920 89440 89984 90280 90402 90687 91390 92352 92720 94428 94848 95160 95460 95589 97051 98040 99674 100620 101232 101504 101565 101824 102297 103415 104310 104576 104920 106210 106560 107328 108336 109440 109668 111264 112480 114192 114552 115440 117120 117364 117648 118035 118560 120536 120916 123840 124098 125904 126540 126880 127280 127452 128649 130720 134160 134976 135420 135603 136396 137085 138528 139080 142272 142740 143190 144448 146224 146705 147060 148352 149511 150670 151145 152256 152736 153920 156864 157380 158080 159315 160992 162504 164502 165464 166896 167872 168720 169936 170495 171532 173160 175680 176046 177840 178880 180560 180804 181374 182780 184704 185440 186147 188856 190320 190920 191178 194102 196080 199348 201240 202464 203130 203648 204594 206830 208620 209840 212420 213120 214415 214656 216672 219336 222528 224960 226005 228384 229104 230880 234728 235296 236070 237120 241072 241832 247680 248196 249185 251808 253080 253760 254560 254904 257298 261440 264069 268320 269952 270840 271206 272061 272792 274170 277056 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797392 804960 809856 812520 818376 822510 827320 834480 839360 849680 857660 866688 873459 877344 880230 897066 904020 906870 913536 916416 923520 930735 938912 941184 944280 955890 964288 967328 970510 992784 996740 1007232 1012320 1018240 1019616 1022970 1029192 1056276 1073280 1083360 1084824 1088244 1091168 1096680 1112640 1114958 1141920 1145520 1164612 1169792 1173640 1176480 1178931 1196088 1205360 1209160 1227564 1240980 1259040 1261663 1274520 1286490 1295762 1300032 1316016 1320345 1323712 1335168 1349760 1356030 1359488 1360305 1363960 1372256 1385280 1408368 1422720 1444480 1446432 1450992 1455765 1462240 1489176 1495110 1510848 1522560 1527360 1529424 1534455 1543788 1552816 1568640 1571908 1594784 1609920 1625040 1636752 1645020 1654640 1668960 1672437 1678720 1699360 1715320 1746918 1754688 1760460 1794132 1808040 1813740 1832832 1843969 1861470 1877824 1888560 1911780 1928576 1929735 1934656 1941020 1943643 1964885 1985568 1993480 2024640 2039232 2045940 2058384 2112552 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5980440 6117696 6137820 6175152 6211264 6287632 6308315 6379136 6478810 6500160 6547008 6580080 6618560 6675840 6689748 6797440 6861280 6987672 7041840 7073586 7176528 7232160 7254960 7375876 7445880 7554240 7569978 7647120 7718940 7764080 7774572 7859540 7942272 7973920 8183760 8233536 8362185 8450208 8678592 8705952 8734590 8773440 8919664 8970660 9164160 9219845 9316896 9389120 9431448 9568704 9642880 9673280 9718215 9820512 9927840 10034622 10093304 10196160 10291920 10366096 10528128 10562760 10848240 10882440 10911680 11063814 11149580 11266944 11354967 11607936 11646120 11661858 11789310 11913408 11960880 12235392 12275640 12350304 12422528 12575264 12616630 12957620 13000320 13094016 13160160 13237120 13379496 13722560 13975344 14083680 14147172 14353056 14464320 14509920 14751752 14891760 15108480 15139956 15294240 15437880 15528160 15549144 15719080 15947840 16367520 16467072 16595721 16724370 16900416 17357184 17411904 17469180 17546880 17683965 17839328 17941320 18439690 18633792 18778240 18862896 18924945 19137408 19346560 19436430 19641024 19855680 20069244 20186608 20392320 20583840 20732192 21125520 21696480 21764880 21823360 22127628 22299160 22709934 23292240 23323716 23578620 23826816 23921760 23971597 24551280 24700608 25086555 25150528 25233260 25915240 26320320 26758992 27445120 27659535 27950688 28167360 28294344 28706112 28928640 29019840 29154645 29503504 29783520 30279912 30588480 30875760 31056320 31098288 31438160 31895680 32735040 33191442 33448740 33800832 34823808 34938360 35367930 35678656 35882640 36879380 37267584 37725792 37849890 38872860 39282048 39711360 40138488 40373216 41167680 41464384 42251040 43392960 43529760 44255256 44598320 45419868 46584480 46647432 47157240 47843520 47943194 49102560 49401216 50173110 50301056 50466520 51830480 52640640 53517984 55319070 55901376 56334720 56588688 56774835 57412224 58039680 58309290 59007008 59567040 60559824 61176960 61751520 62112640 62196576 62876320 65470080 66382884 66897480 69876720 70735860 71357312 71765280 71914791 73758760 75451584 75699780 77745720 80276976 80746432 82335360 82928768 82978605 84502080 86785920 87059520 88510512 89196640 90839736 93168960 93294864 94314480 95687040 95886388 98205120 100346220 100933040 103660960 107035968 110638140 111802752 113177376 113549670 116618580 118014016 119134080 119857985 121119648 123503040 124393152 125752640 132765768 133794960 139753440 141471720 143530560 143829582 147517520 150903168 151399560 155491440 160553952 161492864 165957210 169004160 174119040 177021024 178393280 181679472 186337920 186589728 188628960 191772776 196410240 200692440 201866080 207321920 214071936 215744373 221276280 226354752 227099340 233237160 236028032 239715970 242239296 247006080 248786304 251505280 265531536 267589920 279506880 282943440 287061120 287659164 295035040 302799120 310982880 321107904 331914420 354042048 356786560 359573955 363358944 373179456 377257920 383545552 401384880 403732160 414643840 431488746 442552560 452709504 454198680 466474320 479431940 484478592 531063072 535179840 559013760 565886880 575318328 590070080 605598240 621965760 642215808 663828840 708084096 719147910 726717888 746358912 754515840 767091104 802769760 807464320 862977492 885105120 908397360 932948640 958863880 1062126144 1070359680 1078721865 1131773760 1150636656 1180140160 1211196480 1243931520 1327657680 1438295820 1453435776 1534182208 1605539520 1725954984 1770210240 1816794720 1865897280 1917727760 2124252288 2157443730 2263547520 2301273312 2422392960 2655315360 2876591640 3068364416 3211079040 3451909968 3540420480 3633589440 3731794560 3835455520 4314887460 4602546624 5310630720 5753183280 6903819936 7267178880 7670911040 8629774920 9205093248 10621261440 11506366560 13807639872 15341822080 17259549840 23012733120 27615279744 34519099680 46025466240 69038199360 138076398720
• Sum of all divisors σ(n): 577325548800
• Sum of proper divisors (its aliquot sum) s(n): 439249150080
• 138076398720 is an abundant number, because the sum of its proper divisors (439249150080) is greater than itself. Its abundance is 301172751360

Bases of 138076398720

• Binary: 10000000100101111111101010010010000000₂
• Hexadecimal: 0x2025FEA480
• Base-36: 1RFJ4F40

Squares and roots of 138076398720

• 138076398720 squared (138076398720²) is 19065091883484417638400
• 138076398720 cubed (138076398720³) is 2632439228537430232746719182848000
• The square root of 138076398720 is 371586.3274126215
• The cube root of 138076398720 is 5168.6027039451

Scales and comparisons

• 138,076,398,720 seconds is equal to 4,390 years, 20 weeks, 6 days, 11 hours, 12 minutes.
• To count from 1 to 138,076,398,720 would take you about eight thousand, seven hundred eighty 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 138076398720 cubic inches would be around 430.7 feet tall.

Recreational maths with 138076398720

• 138076398720 backwards is 027893670831
• The number of decimal digits it has is: 12
• The sum of 138076398720's digits is 54
• More coming soon!