138007407793200
138,007,407,793,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138007407793200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1080 divisors.
138007407793200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138007407793200:
24 × 3 × 52 × 112 × 29 × 61 × 7332
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 29 × 61 × 733 × 733)See below for interesting mathematical facts about the number 138007407793200 from the Numbermatics database.
Names of 138007407793200
- Cardinal: 138007407793200 can be written as One hundred thirty-eight trillion, seven billion, four hundred seven million, seven hundred ninety-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.380074077932 × 1014
Factors of 138007407793200
Divisors of 138007407793200
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 33 40 44 48 50 55 58 60 61 66 75 80 87 88 100 110 116 120 121 122 132 145 150 165 174 176 183 200 220 232 240 242 244 264 275 290 300 305 319 330 348 363 366 400 435 440 464 484 488 528 550 580 600 605 610 638 660 671 696 725 726 732 733 825 870 880 915 957 968 976 1100 1160 1200 1210 1220 1276 1320 1342 1392 1450 1452 1464 1466 1525 1595 1650 1740 1769 1815 1830 1914 1936 2013 2175 2199 2200 2320 2420 2440 2552 2640 2684 2900 2904 2928 2932 3025 3050 3190 3300 3355 3480 3509 3538 3630 3660 3665 3828 4026 4350 4398 4400 4575 4785 4840 4880 5104 5307 5368 5800 5808 5864 6050 6100 6380 6600 6710 6960 7018 7076 7260 7320 7330 7381 7656 7975 8052 8063 8700 8796 8845 9075 9150 9570 9680 10065 10527 10614 10736 10995 11600 11728 12100 12200 12760 13200 13420 14036 14152 14520 14640 14660 14762 15312 15950 16104 16126 16775 17400 17545 17592 17690 18150 18300 18325 19140 19459 20130 21054 21228 21257 21990 22143 23925 24189 24200 24400 25520 26535 26840 28072 28304 29040 29320 29524 31900 32208 32252 33550 34800 35090 35184 35380 36300 36600 36650 36905 38280 38918 40260 40315 42108 42456 42514 43980 44225 44286 44713 47850 48378 48400 50325 52635 53070 53680 54975 56144 58377 58640 59048 63771 63800 64504 67100 70180 70760 72600 73200 73300 73810 76560 77836 80520 80630 84216 84912 85028 87725 87960 88450 88572 88693 89426 95700 96756 97295 100650 105270 106140 106285 109950 110715 116754 118096 120945 127542 127600 129008 132675 134139 134200 140360 141520 145200 146600 147620 155672 161040 161260 168432 170056 175450 175920 176900 177144 177386 178852 184525 191400 193512 194590 201300 201575 210540 212280 212570 214049 219900 221430 223565 233508 233827 241890 255084 263175 265350 266079 268278 268400 280720 291885 293200 295240 311344 318855 322520 340112 350900 353800 354288 354772 357704 369050 382800 387024 389180 402600 403150 421080 424560 425140 428098 439800 442860 443465 447130 467016 467654 483780 486475 491843 510168 526350 530700 531425 532158 536556 537289 553575 583770 590480 604725 637710 642147 645040 670695 701481 701800 707600 709544 715408 738100 778360 805200 806300 842160 850280 856196 879600 885720 886930 894260 934032 935308 967560 972950 983686 1020336 1052700 1061400 1062850 1064316 1070245 1073112 1074578 1107150 1117825 1167540 1169135 1209450 1275420 1284294 1296677 1330395 1341390 1402962 1403600 1419088 1459425 1475529 1476200 1556720 1594275 1611867 1612600 1700560 1712392 1771440 1773860 1788520 1870616 1935120 1945900 1967372 2105400 2122800 2125700 2128632 2140490 2146224 2149156 2214300 2217325 2235650 2335080 2338270 2418900 2459215 2550840 2568588 2572097 2593354 2660790 2682780 2686445 2805924 2918850 2951058 2952400 3188550 3210735 3223734 3225200 3353475 3424784 3507405 3547720 3577040 3741232 3890031 3891800 3934744 4210800 4251400 4257264 4280980 4298312 4428600 4434650 4471300 4670160 4676540 4837800 4918430 5101680 5137176 5144194 5186708 5321580 5351225 5365560 5372890 5410273 5611848 5837700 5845675 5902116 5910179 6377100 6421470 6447468 6483385 6651975 6706950 7014810 7095440 7377645 7716291 7780062 7783600 7869488 8059335 8502800 8561960 8596624 8857200 8869300 8942600 9353080 9675600 9836860 10274352 10288388 10373416 10643160 10702450 10731120 10745780 10820546 11223696 11675400 11691350 11804232 11820358 12296075 12754200 12842940 12860485 12894936 12966770 13303950 13413900 13432225 14029620 14263447 14755290 15432582 15560124 15581381 16053675 16118670 16230819 17123920 17537025 17730537 17738600 17885200 18706160 19450155 19673720 20576776 20746832 21286320 21404900 21491560 21641092 23350800 23382700 23608464 23640716 24592150 25508400 25685880 25720970 25789872 25933540 26607900 26827800 26864450 27051365 28059240 28526894 29510580 29550895 30865164 31120248 31162762 32107350 32237340 32416925 32461638 32774629 35074050 35461074 35477200 36888225 38581455 38900310 39347440 40296675 41153552 42790341 42809800 42983120 43282184 46744143 46765400 47281432 49184300 51371760 51441940 51867080 53215800 53655600 53728900 54102730 56118480 57053788 59021160 59101790 61730328 62240496 62325524 64214700 64302425 64474680 64833850 64923276 65011969 65549258 70148100 70922148 71317235 73776450 77162910 77800620 77906905 80593350 81154095 85580682 85619600 86564368 88652685 93488286 93530800 94562864 97250775 98323887 98368600 102883880 103734160 106431600 107457800 108205460 114107576 118042320 118203580 123460656 124651048 128429400 128604850 128949360 129667700 129846552 130023938 131098516 135256825 140296200 141844296 142634470 147552900 147754475 154325820 155601240 155813810 156897917 161186700 162308190 163873145 171161364 171395191 177305370 186976572 192907275 194501550 195035907 196647774 196737200 205767760 213951705 214915600 216410920 228215152 233720715 236407160 249302096 256858800 257209700 259335400 259693104 260047876 262197032 270513650 280592400 283688592 285268940 295105800 295508950 308651640 311202480 311627620 313795834 322373400 324616380 325059845 327746290 342322728 342790382 354610740 356586175 360520919 373953144 385814550 389003100 389534525 390071814 393295548 405770475 427903410 432821840 443263425 467441430 470693751 472814320 491619435 514185573 514419400 518670800 520095752 524394064 541027300 570537880 590211600 591017900 617303280 623255240 627591668 644746800 649232760 650119690 655492580 684645456 685580764 709221480 713172350 721041838 747906288 771629100 778006200 779069050 780143628 784489585 786591096 811540950 819365725 855806820 856975955 886526850 934882860 941387502 950464241 975179535 983238870 1028371146 1028838800 1040191504 1069758525 1081562757 1082054600 1141075760 1168603575 1182035800 1246510480 1255183336 1298465520 1300239380 1310985160 1371161528 1418442960 1426344700 1442083676 1543258200 1556012400 1558138100 1560287256 1568979170 1573182192 1623081900 1625299225 1638731450 1711613640 1713951910 1773053700 1802604595 1869765720 1882775004 1885347101 1900928482 1950359070 1966477740 2056742292 2139517050 2163125514 2164109200 2337207150 2353468755 2364071600 2458097175 2510366672 2570927865 2600478760 2621970320 2742323056 2851392723 2852689400 2884167352 3086516400 3116276200 3120574512 3137958340 3246163800 3250598450 3277462900 3423227280 3427903820 3546107400 3605209190 3739531440 3765550008 3770694202 3801856964 3900718140 3922447925 3932955480 3965730109 4113484584 4279034100 4284879775 4326251028 4674414300 4706937510 4752321205 4875897675 4916194350 5141855730 5200957520 5407813785 5656041303 5702785446 5705378800 5768334704 6232552400 6275916680 6492327600 6501196900 6554925800 6855807640 7092214800 7210418380 7531100016 7541388404 7603713928 7801436280 7844895850 7865910960 7931460218 8226969168 8558068200 8569759550 8652502056 9013022975 9348828600 9413875020 9426735505 9504642410 9751795350 9832388700 10283711460 10455106651 10815627570 11312082606 11405570892 11767343775 11897190327 12551833360 12854639325 13002393800 13109851600 13711615280 14256963615 14420836760 15082776808 15207427856 15602872560 15689791700 15862920436 17116136400 17139519100 17305004112 18026045950 18697657200 18827750040 18853471010 19009284820 19503590700 19664777400 19828650545 20567422920 20910213302 21631255140 22624165212 22811141784 23534687550 23761606025 23794380654 25709278650 26004787600 27039068925 28280206515 28513927230 28841673520 30165553616 31365319953 31379583400 31725840872 34279038200 36052091900 37655500080 37706942020 38018569640 39007181400 39329554800 39657301090 41134845840 41820426604 43262510280 45248330424 45622283568 47069375100 47133677525 47523212050 47588761308 51418557300 52275533255 54078137850 56560413030 57027854460 59485951635 62730639906 62759166800 63451681744 68558076400 71284818075 72104183800 75413884040 76037139280 78014362800 79314602180 83640853208 86525020560 90496660848 94138750200 94267355050 95046424100 95177522616 99143252725 102837114600 104551066510 108156275700 113120826060 114055708920 115006173161 118971903270 125461279812 141401032575 142569636150 144208367600 150827768080 156826599765 158629204360 167281706416 188277500400 188534710100 190092848200 190355045232 198286505450 205674229200 209102133020 216312551400 226241652120 228111417840 230012346322 237943806540 250922559624 261377666275 282802065150 285139272300 297429758175 313653199530 317258408720 345018519483 377069420200 380185696400 396573010900 418204266040 432625102800 452483304240 460024692644 475887613080 501845119248 522755332550 565604130300 570278544600 575030865805 594859516350 627306399060 690037038966 754138840400 784132998825 793146021800 836408532080 920049385288 951775226160 1045510665100 1131208260600 1140557089200 1150061731610 1189719032700 1254612798120 1380074077932 1568265997650 1586292043600 1725092597415 1840098770576 2091021330200 2262416521200 2300123463220 2379438065400 2509225596240 2760148155864 2875154329025 3136531995300 3450185194830 4182042660400 4600246926440 4758876130800 5520296311728 5750308658050 6273063990600 6900370389660 8625462987075 9200493852880 11500617316100 12546127981200 13800740779320 17250925974150 23001234632200 27601481558640 34501851948300 46002469264400 69003703896600 138007407793200
- Sum of all divisors σ(n): 511621522720560
- Sum of proper divisors (its aliquot sum) s(n): 373614114927360
- 138007407793200 is an abundant number, because the sum of its proper divisors (373614114927360) is greater than itself. Its abundance is 235606707134160
Bases of 138007407793200
- Binary: 111110110000100010110101000010010010100001100002
- Hexadecimal: 0x7D845A849430
- Base-36: 1CX3Q7CRAO
Squares and roots of 138007407793200
- 138007407793200 squared (1380074077932002) is 19046044605798600093966240000
- 138007407793200 cubed (1380074077932003) is 2628495244759924544517686722473701568000000
-
The
square root of 138007407793200 is 11747655.4168565909 -
The
cube root of 138007407793200 is 51677.4171659561
Scales and comparisons
How big is 138007407793200?- 138,007,407,793,200 seconds is equal to 4,388,208 years, 35 weeks, 3 days, 13 hours, 40 minutes.
-
To count from 1 to 138,007,407,793,200 would take you about ten million, nine hundred seventy thousand, five hundred twenty-one 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 138007407793200 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138007407793200
- 138007407793200 backwards is 002397704700831
- The number of decimal digits it has is: 15
- The sum of 138007407793200's digits is 51
- More coming soon!
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The information we have on file for 138007407793200 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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