138284769810720

Names of 138284769810720

• Cardinal: 138284769810720 can be written as One hundred thirty-eight trillion, two hundred eighty-four billion, seven hundred sixty-nine million, eight hundred ten thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3828476981072 × 10¹⁴

Factors of 138284769810720

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 10901

Divisors of 138284769810720

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 61 65 68 78 80 85 96 102 104 120 122 130 136 156 160 170 183 195 204 208 221 240 244 255 260 272 305 312 340 366 390 408 416 442 480 488 510 520 544 610 624 663 680 732 780 793 816 884 915 976 1020 1037 1040 1105 1220 1248 1326 1360 1464 1560 1586 1632 1768 1830 1952 2040 2074 2080 2210 2379 2440 2609 2652 2720 2928 3111 3120 3172 3315 3536 3660 3965 4080 4148 4420 4758 4880 5185 5218 5304 5856 6222 6240 6344 6630 7072 7320 7827 7930 8160 8191 8296 8840 9516 9760 10370 10436 10608 11895 12444 12688 13045 13260 13481 14640 15555 15654 15860 16382 16592 17680 19032 20740 20872 21216 23790 24573 24888 25376 26090 26520 26962 29280 31110 31308 31720 32764 33184 33917 35360 38064 39135 40443 40955 41480 41744 44353 47580 49146 49776 52180 53040 53924 62220 62616 63440 65528 67405 67834 76128 78270 80886 81910 82960 83488 88706 95160 98292 99552 101751 104360 106080 106483 107848 122865 124440 125232 126880 131056 133059 134810 135668 139247 156540 159149 161772 163820 165920 169585 177412 190320 196584 202215 203502 208720 212966 215696 221765 245730 248880 250464 262112 266118 269620 271336 278494 313080 318298 319449 323544 327640 339170 354824 380640 393168 404430 407004 417440 417741 425932 431392 443530 477447 491460 497760 499651 508755 532236 532415 539240 542672 556988 576589 626160 636596 638898 647088 655280 665295 678340 696235 709648 786336 795745 808860 814008 835482 851864 887060 954894 982920 999302 1017510 1064472 1064830 1078480 1085344 1113976 1153178 1252320 1273192 1277796 1294176 1310560 1330590 1356680 1392470 1419296 1498953 1591490 1597245 1617720 1628016 1670964 1703728 1729767 1774120 1810211 1909788 1965840 1998604 2035020 2068937 2088705 2128944 2129660 2156960 2227952 2306356 2387235 2498255 2546384 2555592 2661180 2705533 2713360 2784940 2882945 2997906 3182980 3194490 3235440 3256032 3341928 3407456 3459534 3548240 3620422 3819576 3931680 3997208 4070040 4137874 4177410 4257888 4259320 4455904 4612712 4774470 4996510 5092768 5111184 5322360 5411066 5426720 5430633 5569880 5765890 5995812 6206811 6365960 6388980 6470880 6495463 6683856 6919068 7096480 7240844 7494765 7639152 7994416 8116599 8140080 8275748 8354820 8494067 8518640 8648835 9051055 9225424 9548940 9993020 10222368 10344685 10644720 10822132 10861266 11139760 11531780 11991624 12413622 12731920 12777960 12990926 13367712 13527665 13838136 14481688 14989530 15278304 15988832 16233198 16280160 16551496 16709640 16988134 17037280 17297670 18102110 18450848 19097880 19486389 19986040 20689370 21289440 21370319 21644264 21722532 22279520 23063560 23983248 24827244 25463840 25482201 25555920 25981852 27055330 27153165 27676272 28963376 29979060 31034055 32466396 32477315 33102992 33419280 33976268 34595340 35171929 36204220 38195760 38972778 39972080 40582995 41378740 42470335 42740638 43288528 43445064 46127120 47966496 49654488 50964402 51111840 51963704 54110660 54306330 55352544 57926752 59958120 62068110 64110957 64932792 64954630 66205984 66838560 67952536 69190680 70343858 72408440 76391520 77945556 79944160 81165990 82757480 84940670 85481276 86577056 86890128 92254240 97431945 99308976 101928804 103927408 105515787 106851595 108221320 108612660 110422871 119916240 124136220 127411005 128221914 129865584 129909260 135905072 138381360 140687716 144816880 155891112 162331980 165514960 169881340 170962552 173780256 175859645 194863890 198617952 203857608 207854816 211031574 213703190 216442640 217225320 220845742 239832480 248272440 254822010 256443828 259731168 259818520 271810144 276762720 277814147 281375432 289633760 311782224 320554785 324663960 331029920 331268613 339762680 341925104 351719290 363295423 389727780 407715216 422063148 427406380 432885280 434450640 441691484 496544880 509644020 512887656 519637040 527578935 552114355 555628294 562750864 623564448 641109570 649327920 662537226 679525360 683850208 703438580 726590846 779455560 815430432 833442441 844126296 854812760 868901280 883382968 993089760 1019288040 1025775312 1039274080 1055157870 1089886269 1104228710 1111256588 1125501728 1282219140 1298655840 1303589459 1325074452 1359050720 1389070735 1406877160 1453181692 1558911120 1656343065 1666884882 1688252592 1709625520 1766765936 1816477115 2038576080 2051550624 2110315740 2179772538 2208457420 2222513176 2564438280 2607178918 2650148904 2778141470 2813754320 2906363384 3117822240 3312686130 3333769764 3376505184 3419251040 3533531872 3632954230 3910768377 4077152160 4167212205 4220631480 4359545076 4416914840 4445026352 4722840499 5128876560 5214357836 5300297808 5449431345 5556282940 5627508640 5812726768 6517947295 6625372260 6667539528 7265908460 7821536754 8334424410 8441262960 8719090152 8833829680 8890052704 9445680998 10257753120 10428715672 10600595616 10898862690 11112565880 11625453536 13035894590 13250744520 13335079056 14168521497 14531816920 15643073508 16668848820 16882525920 16946662967 17438180304 17667659360 18891361996 19553841885 20857431344 21797725380 22161020803 22225131760 23614202495 26071789180 26501489040 26670158112 28337042994 29063633840 31286147016 33337697640 33893325934 34876360608 37782723992 39107683770 41714862688 43595450760 44322041606 44450263520 47228404990 50839988901 52143578360 53002978080 56674085988 58127267680 62572294032 66483062409 66675395280 67786651868 70842607485 75565447984 78215367540 84733314835 87190901520 88644083212 94456809980 101679977802 104287156720 110805104015 113348171976 125144588064 132966124818 133350790560 135573303736 141685214970 151130895968 156430735080 169466629670 174381803040 177288166424 188913619960 203359955604 208574313440 221610208030 226696343952 254199944505 265932249636 271146607472 283370429940 288093270439 312861470160 332415312045 338933259340 354576332848 377827239920 406719911208 443220416060 453392687904 508399889010 531864499272 542293214944 566740859880 576186540878 625722940320 664830624090 677866518680 709152665696 755654479840 813439822416 864279811317 886440832120 1016799778020 1063728998544 1133481719760 1152373081756 1329661248180 1355733037360 1440466352195 1626879644832 1728559622634 1772881664240 2033599556040 2127457997088 2266963439520 2304746163512 2659322496360 2711466074720 2880932704390 3457119245268 3545763328480 4067199112080 4321399056585 4609492327024 5318644992720 5761865408780 6914238490536 8134398224160 8642798113170 9218984654048 10637289985440 11523730817560 13828476981072 17285596226340 23047461635120 27656953962144 34571192452680 46094923270240 69142384905360 138284769810720
• Sum of all divisors σ(n): 505096631746560
• Sum of proper divisors (its aliquot sum) s(n): 366811861935840
• 138284769810720 is an abundant number, because the sum of its proper divisors (366811861935840) is greater than itself. Its abundance is 228527092125120

Bases of 138284769810720

• Binary: 11111011100010011101110100101010001100100100000₂
• Hexadecimal: 0x7DC4EE951920
• Base-36: 1D0N59JDPC

Squares and roots of 138284769810720

• 138284769810720 squared (138284769810720²) is 19122677561603817504626918400
• 138284769810720 cubed (138284769810720³) is 2644375064771004325888936769476984885248000
• The square root of 138284769810720 is 11759454.4861026609
• The cube root of 138284769810720 is 51712.0137657885

Scales and comparisons

• 138,284,769,810,720 seconds is equal to 4,397,027 years, 48 weeks, 5 days, 2 hours, 32 minutes.
• To count from 1 to 138,284,769,810,720 would take you about ten million, nine hundred ninety-two thousand, five hundred sixty-nine 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 138284769810720 cubic inches would be around 4309.3 feet tall.

Recreational maths with 138284769810720

• 138284769810720 backwards is 027018967482831
• The number of decimal digits it has is: 15
• The sum of 138284769810720's digits is 66
• More coming soon!