138002972800
138,002,972,800 is an even composite number composed of seven prime numbers multiplied together.
138002972800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138002972800:
27 × 52 × 72 × 11 × 29 × 31 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 29 × 31 × 89)See below for interesting mathematical facts about the number 138002972800 from the Numbermatics database.
Names of 138002972800
- Cardinal: 138002972800 can be written as One hundred thirty-eight billion, two million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380029728 × 1011
Factors of 138002972800
Divisors of 138002972800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 31 32 35 40 44 49 50 55 56 58 62 64 70 77 80 88 89 98 100 110 112 116 124 128 140 145 154 155 160 175 176 178 196 200 203 217 220 224 232 245 248 275 280 290 308 310 319 320 341 350 352 356 385 392 400 406 434 440 445 448 464 490 496 539 550 560 580 616 620 623 638 640 682 700 704 712 725 770 775 784 800 812 868 880 890 896 899 928 979 980 992 1015 1078 1085 1100 1120 1160 1225 1232 1240 1246 1276 1364 1400 1408 1421 1424 1450 1519 1540 1550 1568 1595 1600 1624 1705 1736 1760 1780 1798 1856 1925 1958 1960 1984 2030 2156 2170 2200 2225 2233 2240 2320 2387 2450 2464 2480 2492 2552 2581 2695 2728 2759 2800 2842 2848 2900 3038 3080 3100 3115 3136 3190 3200 3248 3410 3472 3520 3560 3596 3712 3850 3916 3920 3968 4060 4312 4340 4361 4400 4450 4466 4480 4495 4640 4774 4895 4900 4928 4960 4984 5075 5104 5162 5390 5425 5456 5518 5600 5684 5696 5800 6076 6160 6200 6230 6272 6293 6380 6496 6820 6853 6944 7040 7105 7120 7192 7595 7700 7832 7840 7975 8120 8525 8624 8680 8722 8800 8900 8932 8990 9280 9548 9790 9800 9856 9889 9920 9968 10150 10208 10324 10780 10850 10912 11036 11165 11200 11368 11392 11600 11935 12152 12320 12400 12460 12586 12760 12905 12992 13475 13640 13706 13795 13888 14210 14240 14384 15190 15400 15575 15631 15664 15680 15950 16240 16709 17050 17248 17360 17444 17600 17800 17864 17980 18067 18560 19096 19313 19580 19600 19778 19840 19936 20300 20416 20648 21560 21700 21805 21824 22072 22330 22400 22475 22736 23200 23870 24304 24475 24640 24800 24920 25172 25520 25810 25984 26950 27280 27412 27590 27776 28391 28420 28480 28768 30349 30380 30800 31150 31262 31328 31360 31465 31900 32480 33418 34100 34265 34496 34720 34888 35200 35525 35600 35728 35960 36134 37975 38192 38626 39160 39200 39556 39872 40600 40832 41296 43120 43400 43610 43648 44051 44144 44660 44950 45472 46400 47740 47971 48608 48950 49280 49445 49600 49840 50344 51040 51620 53900 54560 54824 55180 55825 56782 56840 56960 57536 59675 60698 60760 61600 62300 62524 62656 62930 63800 64525 64960 66836 68200 68530 68975 68992 69223 69440 69776 71050 71200 71456 71920 72268 75950 76384 77252 78155 78320 78400 79112 79744 80011 81200 82592 83545 86240 86800 87220 88102 88288 89320 89900 90335 90944 92800 95480 95942 96565 97216 97900 98890 99200 99680 100688 102080 103240 107800 109025 109120 109648 110360 111650 113564 113680 115072 119350 121396 121520 123200 124600 125048 125312 125860 126469 127600 129050 129920 133672 135191 136400 137060 137950 138446 138880 139552 141955 142100 142400 142912 143840 144536 151745 151900 152768 154504 156310 156640 156800 157325 158224 160022 162400 165184 167090 171325 172480 173600 174440 176204 176576 178640 179800 180670 181888 190960 191884 193130 194432 195800 197780 198737 199360 201376 204160 206480 212443 215600 218050 218240 219296 220255 220720 223300 227128 227360 238700 239855 242792 243040 246400 247225 249200 250096 251720 252938 255200 258100 267344 270382 272800 274120 275900 276892 279104 283910 284200 284800 285824 287680 289072 303490 303800 305536 309008 312620 313280 314650 316448 320044 324800 330368 334180 342650 344960 346115 347200 348880 352408 353152 357280 359600 361340 381920 383768 386260 390775 391600 395560 397474 398720 400055 402752 412960 417725 424886 431200 436100 438592 440510 441440 446600 451675 454256 454720 477400 479710 482825 484561 485584 486080 494450 498400 500192 503440 505876 510400 516200 534688 540764 545600 548240 551800 553784 558208 560077 567820 568400 575360 578144 606980 607600 618016 625240 626560 629300 632345 632896 640088 649600 668360 675955 685300 692230 694400 697760 704816 709775 714560 719200 722680 758725 763840 767536 772520 781550 783200 791120 794948 800110 805504 825920 835450 849772 862400 872200 877184 880121 881020 882880 893200 903350 908512 909440 954800 959420 965650 969122 971168 972160 988900 993685 996800 1000384 1006880 1011752 1020800 1032400 1062215 1069376 1081528 1091200 1096480 1101275 1103600 1107568 1120154 1135640 1136800 1156288 1199275 1213960 1215200 1236032 1250480 1258600 1264690 1265792 1280176 1336720 1351910 1370600 1384460 1391159 1395520 1409632 1419550 1429120 1438400 1445360 1487101 1517450 1527680 1535072 1545040 1563100 1566400 1582240 1589896 1600220 1651840 1670900 1699544 1724800 1730575 1744400 1760242 1762040 1765760 1786400 1806700 1817024 1909600 1918840 1931300 1938244 1942336 1977800 1987370 1993600 2000275 2000768 2013760 2023504 2064800 2124430 2138752 2163056 2192960 2202550 2207200 2215136 2240308 2271280 2273600 2312576 2398550 2422805 2427920 2430400 2472064 2500960 2517200 2529380 2560352 2673440 2703820 2741200 2768920 2782318 2791040 2800385 2819264 2839100 2876800 2890720 2974202 3034900 3070144 3090080 3126200 3132800 3161725 3164480 3179792 3200440 3341800 3379775 3399088 3461150 3488800 3520484 3524080 3572800 3613400 3634048 3819200 3837680 3862600 3876488 3884672 3920539 3955600 3974740 4000550 4027520 4047008 4129600 4248860 4326112 4385920 4400605 4405100 4414400 4430272 4480616 4542560 4547200 4797100 4845610 4855840 4860800 4968425 5001920 5034400 5058760 5120704 5311075 5346880 5407640 5482400 5537840 5564636 5600770 5638528 5678200 5781440 5948404 6069800 6140288 6160847 6180160 6252400 6323450 6328960 6359584 6400880 6683600 6759550 6798176 6922300 6955795 6977600 7040968 7048160 7145600 7226800 7435505 7638400 7675360 7725200 7752976 7841078 7911200 7949480 8001100 8094016 8259200 8497720 8652224 8801210 8810200 8828800 8860544 8961232 9085120 9594200 9691220 9711680 9936850 10003840 10068800 10117520 10241408 10622150 10693760 10815280 10964800 11075680 11129272 11201540 11356400 11562880 11896808 12114025 12139600 12321694 12360320 12504800 12646900 12719168 12801760 13367200 13519100 13596352 13844600 13911590 13955200 14001925 14081936 14096320 14453600 14871010 15350720 15450400 15505952 15682156 15822400 15898960 16002200 16188032 16995440 17304448 17602420 17620400 17922464 18170240 19188400 19382440 19423360 19602695 19873700 20137600 20235040 21244300 21630560 21929600 22003025 22151360 22258544 22403080 22712800 23793616 24228050 24279200 24643388 25009600 25293800 25438336 25603520 26734400 27038200 27192704 27689200 27823180 28003850 28163872 28192640 28907200 29742020 30701440 30804235 30900800 31011904 31364312 31644800 31797920 32004400 33990880 34778975 35204840 35240800 35844928 37177525 38376800 38764880 39205390 39747400 40470080 42488600 43125929 43261120 44006050 44302720 44517088 44806160 45425600 47587232 48456100 48558400 49286776 50019200 50587600 51207040 53468800 54076400 55378400 55646360 56007700 56327744 57814400 59484040 61608470 61801600 62023808 62728624 63595840 64008800 67981760 69557950 70409680 70481600 71689856 74355050 76753600 77529760 78410780 79494800 80940160 84977200 86251858 86522240 88012100 89034176 89612320 90851200 95174464 96912200 97116800 98013475 98573552 101175200 108152800 110756800 111292720 112015400 112655488 118968080 123216940 125457248 127191680 128017600 135963520 139115900 140819360 140963200 148710100 153507200 154021175 155059520 156821560 158989600 169954400 172503716 176024200 178068352 179224640 190348928 193824400 196026950 197147104 202350400 215629645 216305600 221513600 222585440 224030800 237936160 246433880 250914496 256035200 278231800 281638720 297420200 308042350 310119040 313643120 317979200 339908800 345007432 352048400 358449280 387648800 392053900 394294208 404700800 431259290 432611200 445170880 448061600 475872320 492867760 501828992 556463600 563277440 594840400 616084700 627286240 635958400 679817600 690014864 704096800 775297600 784107800 788588416 862518580 890341760 896123200 951744640 985735520 1078148225 1112927200 1189680800 1232169400 1254572480 1380029728 1408193600 1550595200 1568215600 1725037160 1792246400 1971471040 2156296450 2225854400 2379361600 2464338800 2509144960 2760059456 2816387200 3136431200 3450074320 3942942080 4312592900 4451708800 4758723200 4928677600 5520118912 6272862400 6900148640 8625185800 9857355200 12545724800 13800297280 17250371600 19714710400 27600594560 34500743200 69001486400 138002972800
- Sum of all divisors σ(n): 467166528000
- Sum of proper divisors (its aliquot sum) s(n): 329163555200
- 138002972800 is an abundant number, because the sum of its proper divisors (329163555200) is greater than itself. Its abundance is 191160582400
Bases of 138002972800
- Binary: 100000001000011001111001000000100000002
- Hexadecimal: 0x20219E4080
- Base-36: 1REBENB4
Squares and roots of 138002972800
- 138002972800 squared (1380029728002) is 19044820501637539840000
- 138002972800 cubed (1380029728003) is 2628241845668367765998436352000000
-
The
square root of 138002972800 is 371487.5136528817 -
The
cube root of 138002972800 is 5167.6863593139
Scales and comparisons
How big is 138002972800?- 138,002,972,800 seconds is equal to 4,388 years, 3 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,002,972,800 would take you about eight thousand, seven hundred seventy-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 138002972800 cubic inches would be around 430.6 feet tall.
Recreational maths with 138002972800
- 138002972800 backwards is 008279200831
- 138002972800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138002972800's digits is 40
- More coming soon!
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The information we have on file for 138002972800 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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