138387964615680
138,387,964,615,680 is an even composite number composed of seven prime numbers multiplied together.
138387964615680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 138387964615680:
210 × 3 × 5 × 13 × 211 × 401 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 211 × 401 × 8191)See below for interesting mathematical facts about the number 138387964615680 from the Numbermatics database.
Names of 138387964615680
- Cardinal: 138387964615680 can be written as One hundred thirty-eight trillion, three hundred eighty-seven billion, nine hundred sixty-four million, six hundred fifteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3838796461568 × 1014
Factors of 138387964615680
Divisors of 138387964615680
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 211 240 256 260 312 320 384 390 401 416 422 480 512 520 624 633 640 768 780 802 832 844 960 1024 1040 1055 1203 1248 1266 1280 1536 1560 1604 1664 1688 1920 2005 2080 2110 2406 2496 2532 2560 2743 3072 3120 3165 3208 3328 3376 3840 4010 4160 4220 4812 4992 5064 5120 5213 5486 6015 6240 6330 6416 6656 6752 7680 8020 8191 8229 8320 8440 9624 9984 10128 10426 10972 12030 12480 12660 12832 13312 13504 13715 15360 15639 16040 16382 16458 16640 16880 19248 19968 20256 20852 21944 24060 24573 24960 25320 25664 26065 27008 27430 31278 32080 32764 32916 33280 33760 38496 39936 40512 40955 41145 41704 43888 48120 49146 49920 50640 51328 52130 54016 54860 62556 64160 65528 65832 66560 67520 76992 78195 81024 81910 82290 83408 84611 87776 96240 98292 99840 101280 102656 104260 106483 108032 109720 122865 125112 128320 131056 131664 135040 153984 156390 162048 163820 164580 166816 169222 175552 192480 196584 199680 202560 205312 208520 212966 216064 219440 245730 250224 253833 256640 262112 263328 270080 307968 312780 319449 324096 327640 329160 333632 338444 351104 384960 393168 405120 410624 417040 423055 425932 438880 491460 500448 507666 513280 524224 526656 532415 540160 615936 625560 638898 648192 655280 658320 667264 676888 702208 769920 786336 810240 834080 846110 851864 877760 982920 1000896 1015332 1026560 1048448 1053312 1064830 1080320 1099943 1231872 1251120 1269165 1277796 1310560 1316640 1334528 1353776 1404416 1539840 1572672 1597245 1620480 1668160 1692220 1703728 1728301 1755520 1965840 2001792 2030664 2053120 2096896 2106624 2129660 2199886 2502240 2538330 2555592 2621120 2633280 2669056 2707552 2808832 3079680 3145344 3194490 3240960 3284591 3299829 3336320 3384440 3407456 3456602 3511040 3931680 4003584 4061328 4193792 4213248 4259320 4399772 5004480 5076660 5111184 5184903 5242240 5266560 5338112 5415104 5499715 6159360 6290688 6388980 6569182 6599658 6672640 6768880 6814912 6913204 7022080 7863360 8007168 8122656 8387584 8426496 8518640 8641505 8799544 9853773 10008960 10153320 10222368 10369806 10484480 10533120 10830208 10999430 12581376 12777960 13138364 13199316 13345280 13537760 13629824 13826408 14044160 15726720 16014336 16245312 16422955 16499145 17037280 17283010 17599088 19707546 20017920 20306640 20444736 20739612 20968960 21066240 21660416 21998860 22467913 25162752 25555920 25924515 26276728 26398632 26690560 27075520 27259648 27652816 31453440 32490624 32845910 32998290 34074560 34566020 35198176 39415092 40035840 40613280 40889472 41479224 41937920 42132480 42699683 43320832 43997720 44935826 49268865 51111840 51849030 52553456 52797264 54151040 54519296 55305632 62906880 64981248 65691820 65996580 67403739 68149120 69132040 70396352 78830184 80071680 81226560 81778944 82958448 85399366 86641664 87995440 89871652 98537730 102223680 103698060 105106912 105594528 108302080 109038592 110611264 112339565 125813760 128099049 129962496 131383640 131993160 134807478 136298240 138264080 140792704 157660368 162453120 163557888 165916896 170798732 175990880 179743304 197075460 204447360 207396120 210213824 211189056 213498415 216604160 221222528 224679130 256198098 259924992 262767280 263986320 269614956 272596480 276528160 281585408 315320736 324906240 327115776 331833792 337018695 341597464 351981760 359486608 394150920 408894720 414792240 420427648 422378112 426996830 433208320 442445056 449358260 512396196 525534560 527972640 539229912 545192960 553056320 563170816 630641472 640495245 649812480 663667584 674037390 683194928 693048701 703963520 718973216 788301840 817789440 829584480 840855296 844756224 853993660 884890112 898716520 1024792392 1051069120 1055945280 1078459824 1106112640 1126341632 1261282944 1280990490 1299624960 1327335168 1348074780 1366389856 1386097402 1407927040 1437946432 1576603680 1635578880 1659168960 1681710592 1689512448 1707987320 1769780224 1797433040 2049584784 2079146103 2102138240 2111890560 2156919648 2212225280 2522565888 2561980980 2654670336 2696149560 2732779712 2772194804 2815854080 2875892864 3153207360 3318337920 3363421184 3379024896 3415974640 3465243505 3594866080 4099169568 4158292206 4204276480 4223781120 4313839296 4424450560 5045131776 5123961960 5309340672 5392299120 5465559424 5544389608 5631708160 5751785728 6306414720 6636675840 6831949280 6930487010 7189732160 8198339136 8316584412 8408552960 8447562240 8627678592 8848901120 9009633113 10090263552 10247923920 10395730515 10784598240 10931118848 11088779216 11503571456 12612829440 13273351680 13663898560 13860974020 14379464320 16396678272 16633168824 16817105920 16895124480 17255357184 18019266226 20495847840 20791461030 21569196480 21862237696 22177558432 23007142912 25225658880 26546703360 27028899339 27327797120 27721948040 28758928640 32793356544 33266337648 34510714368 36038532452 40991695680 41582922060 43138392960 43724475392 44355116864 45048165565 50451317760 54057798678 54655594240 55443896080 57517857280 65586713088 66532675296 69021428736 72077064904 81983391360 83165844120 86276785920 88710233728 90096331130 108115597356 109311188480 110887792160 115035714560 131173426176 133065350592 135144496695 144154129808 163966782720 166331688240 172553571840 177420467456 180192662260 216231194712 218622376960 221775584320 266130701184 270288993390 288308259616 327933565440 332663376480 345107143680 354840934912 360385324520 432462389424 443551168640 532261402368 540577986780 576616519232 655867130880 665326752960 709681869824 720770649040 864924778848 887102337280 1064522804736 1081155973560 1153233038464 1330653505920 1441541298080 1729849557696 1774204674560 2129045609472 2162311947120 2306466076928 2661307011840 2883082596160 3459699115392 3548409349120 4324623894240 4612932153856 5322614023680 5766165192320 6919398230784 8649247788480 9225864307712 10645228047360 11532330384640 13838796461568 17298495576960 23064660769280 27677592923136 34596991153920 46129321538560 69193982307840 138387964615680
- Sum of all divisors σ(n): 480185429262336
- Sum of proper divisors (its aliquot sum) s(n): 341797464646656
- 138387964615680 is an abundant number, because the sum of its proper divisors (341797464646656) is greater than itself. Its abundance is 203409500030976
Bases of 138387964615680
- Binary: 111110111011100111101010111100011011100000000002
- Hexadecimal: 0x7DDCF578DC00
- Base-36: 1D1YJX26TC
Squares and roots of 138387964615680
- 138387964615680 squared (1383879646156802) is 19151228750470699730101862400
- 138387964615680 cubed (1383879646156803) is 2650299566666932694393946659973268242432000
-
The
square root of 138387964615680 is 11763841.4055817667 -
The
cube root of 138387964615680 is 51724.8739052971
Scales and comparisons
How big is 138387964615680?- 138,387,964,615,680 seconds is equal to 4,400,309 years, 11 weeks, 10 hours, 8 minutes.
-
To count from 1 to 138,387,964,615,680 would take you about eleven million, seven hundred seventy-three 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 138387964615680 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138387964615680
- 138387964615680 backwards is 086516469783831
- The number of decimal digits it has is: 15
- The sum of 138387964615680's digits is 75
- More coming soon!
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The information we have on file for 138387964615680 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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