138232648392960
138,232,648,392,960 is an even composite number composed of seven prime numbers multiplied together.
138232648392960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138232648392960:
28 × 3 × 5 × 112 × 232 × 71 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 23 × 23 × 71 × 89 × 89)See below for interesting mathematical facts about the number 138232648392960 from the Numbermatics database.
Names of 138232648392960
- Cardinal: 138232648392960 can be written as One hundred thirty-eight trillion, two hundred thirty-two billion, six hundred forty-eight million, three hundred ninety-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3823264839296 × 1014
Factors of 138232648392960
Divisors of 138232648392960
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 32 33 40 44 46 48 55 60 64 66 69 71 80 88 89 92 96 110 115 120 121 128 132 138 142 160 165 176 178 184 192 213 220 230 240 242 253 256 264 267 276 284 320 330 345 352 355 356 363 368 384 426 440 445 460 480 484 506 528 529 534 552 568 605 640 660 690 704 710 712 726 736 759 768 781 852 880 890 920 960 968 979 1012 1056 1058 1065 1068 1104 1136 1210 1265 1280 1320 1335 1380 1408 1420 1424 1452 1472 1518 1562 1587 1633 1704 1760 1780 1815 1840 1920 1936 1958 2024 2047 2112 2116 2130 2136 2208 2272 2343 2420 2530 2640 2645 2670 2760 2783 2816 2840 2848 2904 2937 2944 3036 3124 3174 3266 3408 3520 3560 3630 3680 3795 3840 3872 3905 3916 4048 4094 4224 4232 4260 4272 4416 4544 4686 4840 4895 4899 5060 5280 5290 5340 5520 5566 5680 5696 5808 5819 5874 5888 6072 6141 6248 6319 6348 6532 6816 7040 7120 7260 7360 7590 7744 7810 7832 7921 7935 8096 8165 8188 8349 8448 8464 8520 8544 8591 8832 9088 9372 9680 9790 9798 10120 10235 10560 10580 10680 10769 11040 11132 11360 11392 11616 11638 11715 11748 12144 12282 12496 12638 12696 13064 13632 13915 14080 14240 14520 14685 14720 15180 15488 15620 15664 15842 15870 16192 16330 16376 16698 16928 17040 17088 17182 17457 17664 17963 18176 18744 18957 19360 19580 19596 20240 20470 21120 21160 21360 21538 22080 22264 22517 22720 22784 23232 23276 23430 23496 23763 24288 24495 24564 24992 25276 25392 25773 26128 27264 27830 28480 29040 29095 29370 29440 30360 30705 30976 31240 31328 31595 31684 31740 32307 32384 32660 32752 33396 33856 34080 34176 34364 34914 35926 37488 37559 37914 38720 39160 39192 39605 40480 40940 41745 42240 42320 42720 42955 43076 44160 44528 45034 45440 46464 46552 46860 46992 47081 47526 48576 48990 49128 49984 50552 50784 51546 52256 53845 53889 54528 55660 56960 58080 58190 58740 60720 61410 62480 62656 63190 63368 63480 64009 64614 64768 65320 65504 66792 67551 67712 68160 68352 68728 69509 69828 71852 74976 75118 75828 77440 78320 78384 79210 80960 81880 83490 84640 85440 85910 86152 87131 87285 88320 89056 89815 90068 90880 92928 93104 93720 93984 94162 94785 95052 97152 97980 98256 99968 101104 101568 103092 104512 107690 107778 111320 112585 112677 113920 116160 116380 117480 118815 121440 122820 124960 125312 126380 126736 126960 128018 128865 129228 130640 131008 133584 135102 135424 136320 137456 139018 139656 141243 143704 145337 149952 150236 151656 154880 156640 156768 158420 161535 161920 163760 166980 169280 170880 171820 172304 174262 174570 178112 179630 180136 182183 186208 187440 187795 187968 188324 189570 190104 192027 194304 195960 196512 197593 199936 202208 203136 206184 208527 209024 215380 215556 222640 225170 225354 232320 232760 234960 235405 237630 242880 245640 247687 249920 250624 252760 253472 253920 256036 257730 258456 261280 261393 262016 267168 269445 270204 272640 274912 278036 279312 282486 287408 290674 299904 300472 303312 313280 313536 316840 320045 323070 323840 327520 333960 337755 338560 341760 343640 344608 347545 348524 349140 356224 359260 360272 364366 372416 374880 375590 375936 376648 379140 380208 384054 391920 393024 395186 404416 406272 412368 413149 417054 418048 430760 431112 435655 436011 445280 450340 450708 464640 465520 469920 470810 475260 485760 491280 495374 499840 505520 506944 507840 512072 515460 516912 517891 522560 522786 524032 534336 538890 540408 546549 549824 556072 558624 562391 563385 564972 574816 581348 592779 599808 600944 606624 626560 627072 633680 640090 646140 655040 667920 675510 677120 687280 689216 695090 697048 698280 706215 712448 718520 720544 726685 728732 743061 744832 749760 751180 751872 753296 758280 760416 764599 768108 783840 786048 790372 808832 824736 826298 834108 861520 862224 871310 872022 890560 900680 901416 910915 931040 939840 941620 950520 958441 960135 971520 982560 987965 990748 999680 1011040 1013888 1015680 1024144 1030920 1033824 1035782 1042635 1045120 1045572 1068672 1077780 1080816 1093098 1099648 1112144 1117248 1124782 1126770 1129944 1149632 1162696 1185558 1201888 1213248 1238435 1239447 1253120 1254144 1267360 1280180 1292280 1306965 1310080 1335840 1351020 1374560 1378432 1390180 1394096 1396560 1412430 1437040 1441088 1453370 1457464 1486122 1489664 1499520 1502360 1506592 1516560 1520832 1529198 1536216 1553673 1567680 1572096 1580744 1598707 1617664 1649472 1652596 1668216 1687173 1723040 1724448 1742620 1744044 1781120 1801360 1802832 1821830 1862080 1879680 1883240 1901040 1916882 1920270 1965120 1975930 1981496 2004013 2022080 2027776 2031360 2048288 2061840 2065745 2067648 2071564 2085270 2090240 2091144 2137344 2155560 2161632 2180055 2186196 2199296 2224288 2234496 2249564 2253540 2259888 2293797 2299264 2325392 2371116 2403776 2426496 2476870 2478894 2534720 2560360 2584560 2589455 2613930 2620160 2671680 2702040 2732745 2749120 2756864 2780360 2788192 2793120 2811955 2824860 2874080 2875323 2882176 2906740 2914928 2963895 2972244 2999040 3004720 3013184 3033120 3041664 3058396 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705412576 711424615 719860480 727142240 729190528 734015040 735405220 736082688 737476784 742356120 758757120 767379360 769540992 776099580 791846528 793246080 802260240 804520128 808945742 816591732 827839552 844117296 853709538 855744256 872570688 881765720 882486264 892514517 911488160 920103360 921845980 951118080 961926240 978686720 989808160 994350720 1005650160 1014030578 1020739665 1023172480 1034799440 1055146620 1058118864 1069680320 1072693504 1079790720 1088788976 1090713360 1093785792 1103107830 1106215176 1125489728 1138279384 1163427584 1176648352 1187769792 1190019356 1213418613 1226804480 1227806976 1241759328 1282568320 1283616384 1322648580 1340866880 1360986220 1367232240 1382768970 1406862160 1410825152 1422849230 1454284480 1458381056 1468030080 1470810440 1474953568 1484712240 1487524195 1521045867 1534758720 1539081984 1552199160 1565134153 1583693056 1586492160 1604520480 1609040256 1617891484 1633183464 1655679104 1688234592 1707419076 1745141376 1763531440 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4967037312 5070152890 5290594320 5363467520 5443944880 5468928960 5531075880 5627448640 5643300608 5691396920 5817137920 5883241760 5899814272 5938848960 5950096780 6067093065 6084183468 6139034880 6208796640 6260536612 6418081920 6471565936 6532733856 6545106458 6752938368 6829676304 7054125760 7059890112 7140116136 7291905280 7374767840 7605229335 7695409920 7825670765 7918465280 8045201280 8089457420 8112244624 8165917320 8278395520 8441172960 8464950912 8537095380 8710311808 8725706880 8824862640 8849721408 8925145170 9106235072 9390804918 9413186816 9520154848 9707348904 9817659687 9934074624 10140305780 10581188640 10887889760 10937857920 11062151760 11254897280 11382793840 11766483520 11799628544 11877697920 11900193560 12134186130 12168366936 12417593280 12521073224 12836163840 12943131872 13065467712 13090212916 13505876736 13659352608 14108251520 14119780224 14280232272 14749535680 15210458670 15651341530 16090402560 16178914840 16224489248 16331834640 16362766145 16556791040 16882345920 16929901824 17074190760 17420623616 17451413760 17649725280 17699442816 17850290340 18212470144 18781609836 19040309696 19414697808 19635319374 20280611560 21162377280 21775779520 21875715840 22124303520 22509794560 22765587680 23477012295 23532967040 23755395840 23800387120 24268372260 24336733872 24835186560 25042146448 25886263744 26130935424 26180425832 27318705216 28216503040 28239560448 28560464544 29499071360 30420917340 31302683060 32357829680 32448978496 32663669280 32725532290 33764691840 34148381520 35299450560 35398885632 35700580680 35998085519 36424940288 37563219672 38080619392 38829395616 39270638748 40561223120 42324754560 43551559040 44248607040 45531175360 46954024590 47065934080 47600774240 48536744520 48673467744 49088298435 49670373120 50084292896 51772527488 52261870848 52360851664 54637410432 57120929088 58998142720 60841834680 62605366120 64715659360 64897956992 65327338560 65451064580 67529383680 68296763040 70598901120 71401161360 71996171038 75126439344 76161238784 77658791232 78541277496 81122446240 84649509120 87103118080 88497214080 91062350720 93908049180 95201548480 97073489040 97346935488 98176596870 100168585792 103545054976 104721703328 107994256557 109274820864 114241858176 121683669360 125210732240 129431318720 129795913984 130654677120 130902129160 136593526080 141197802240 142802322720 143992342076 150252878688 155317582464 157082554992 162244892480 176994428160 179990427595 182124701440 187816098360 190403096960 194146978080 194693870976 196353193740 200337171584 209443406656 215988513114 228483716352 243367338720 250421464480 258862637440 261309354240 261804258320 273187052160 285604645440 287984684152 300505757376 310635164928 314165109984 324489784960 359980855190 375632196720 380806193920 388293956160 389387741952 392706387480 400674343168 418886813312 431977026228 486734677440 500842928960 517725274880 523608516640 539971282785 546374104320 571209290880 575969368304 601011514752 628330219968 648979569920 719961710380 751264393440 776587912320 785412774960 837773626624 863954052456 973469354880 1001685857920 1047217033280 1079942565570 1142418581760 1151938736608 1202023029504 1256660439936 1439923420760 1502528786880 1553175824640 1570825549920 1727908104912 1946938709760 2003371715840 2094434066560 2159885131140 2303877473216 2513320879872 2879846841520 3005057573760 3141651099840 3455816209824 4188868133120 4319770262280 4607754946432 5759693683040 6010115147520 6283302199680 6911632419648 8639540524560 9215509892864 11519387366080 12566604399360 13823264839296 17279081049120 23038774732160 27646529678592 34558162098240 46077549464320 69116324196480 138232648392960
- Sum of all divisors σ(n): 520269231045312
- Sum of proper divisors (its aliquot sum) s(n): 382036582652352
- 138232648392960 is an abundant number, because the sum of its proper divisors (382036582652352) is greater than itself. Its abundance is 243803934259392
Bases of 138232648392960
- Binary: 111110110111000110010111110011101100001000000002
- Hexadecimal: 0x7DB8CBE76100
- Base-36: 1CZZ79SIDC
Squares and roots of 138232648392960
- 138232648392960 squared (1382326483929602) is 19108265081731706870577561600
- 138232648392960 cubed (1382326483929603) is 2641386088442494112797021161213275406336000
-
The
square root of 138232648392960 is 11757238.1277645303 -
The
cube root of 138232648392960 is 51705.5159613435
Scales and comparisons
How big is 138232648392960?- 138,232,648,392,960 seconds is equal to 4,395,370 years, 33 weeks, 22 hours, 56 minutes.
-
To count from 1 to 138,232,648,392,960 would take you about ten million, nine hundred eighty-eight thousand, four hundred twenty-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 138232648392960 cubic inches would be around 4308.8 feet tall.
Recreational maths with 138232648392960
- 138232648392960 backwards is 069293846232831
- 138232648392960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138232648392960's digits is 66
- More coming soon!
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"Number 138232648392960 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138232648392960 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138232648392960/
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The information we have on file for 138232648392960 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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