138142212071400
138,142,212,071,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138142212071400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138142212071400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138142212071400:
23 × 32 × 52 × 193 × 31 × 612 × 97
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 19 × 19 × 31 × 61 × 61 × 97)See below for interesting mathematical facts about the number 138142212071400 from the Numbermatics database.
Names of 138142212071400
- Cardinal: 138142212071400 can be written as One hundred thirty-eight trillion, one hundred forty-two billion, two hundred twelve million, seventy-one thousand, four hundred.
Scientific notation
- Scientific notation: 1.381422120714 × 1014
Factors of 138142212071400
Divisors of 138142212071400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 31 36 38 40 45 50 57 60 61 62 72 75 76 90 93 95 97 100 114 120 122 124 150 152 155 171 180 183 186 190 194 200 225 228 244 248 279 285 291 300 305 310 342 360 361 366 372 380 388 450 456 465 475 485 488 549 558 570 582 589 600 610 620 684 722 732 744 760 775 776 855 873 900 915 930 950 970 1083 1098 1116 1140 1159 1164 1178 1220 1240 1368 1395 1425 1444 1455 1464 1525 1550 1710 1746 1767 1800 1805 1830 1843 1860 1891 1900 1940 2166 2196 2232 2280 2318 2325 2328 2356 2425 2440 2745 2790 2850 2888 2910 2945 3007 3050 3100 3249 3420 3477 3492 3534 3610 3660 3686 3720 3721 3782 3800 3880 4275 4332 4365 4392 4575 4636 4650 4712 4850 5301 5415 5490 5529 5580 5673 5700 5795 5820 5890 5917 6014 6100 6200 6498 6840 6859 6954 6975 6984 7068 7220 7275 7320 7372 7442 7564 8550 8664 8730 8835 9021 9025 9150 9215 9272 9300 9455 9700 10431 10602 10830 10980 11058 11160 11163 11191 11346 11400 11590 11640 11780 11834 12028 12200 12996 13718 13725 13908 13950 14136 14440 14550 14725 14744 14884 15035 15128 16245 16587 17019 17100 17385 17460 17670 17751 18042 18050 18300 18430 18600 18605 18910 19400 20577 20862 21204 21660 21825 21960 22021 22116 22326 22382 22692 23180 23560 23668 24056 25992 26505 27063 27075 27436 27450 27645 27816 27900 28365 28975 29100 29450 29585 29768 30070 32490 33174 33489 33573 34038 34200 34295 34770 34920 35017 35340 35502 35929 36084 36100 36600 36860 37210 37820 41154 41724 42408 43320 43650 44042 44175 44232 44652 44764 45105 45384 46075 46360 47275 47336 52155 53010 53253 54126 54150 54872 54900 55290 55800 55815 55955 56730 57133 57950 58200 58900 59170 60140 61731 64980 66063 66348 66978 67146 68076 68590 69540 70034 70680 70699 71004 71858 72168 72200 73720 74420 75175 75640 81225 82308 82935 83448 85095 86925 87300 88084 88350 88755 89304 89528 90210 92150 93025 94550 100719 102885 104310 105051 106020 106506 107787 108252 108300 109800 110105 110580 111630 111910 112423 113460 114266 115351 115900 117800 118340 120280 123462 129960 132126 132525 132696 133956 134292 135315 136152 137180 138225 139080 140068 141398 141825 142008 143716 147925 148840 150350 162450 164616 165870 167445 167865 170190 171399 171475 173850 174600 175085 176168 176700 177510 179645 180420 183427 184300 186050 189100 198189 201438 205770 208620 210102 212040 212097 212629 213012 215574 216504 216600 220210 221160 223260 223820 224846 225525 226920 228532 230702 231800 236680 246924 260775 264252 265050 266265 267912 268584 270630 274360 276450 279075 279775 280136 282796 283650 285665 287432 295850 300700 308655 315153 323361 324900 330315 331740 334890 335730 337269 340380 342798 342950 346053 347700 350170 353400 353495 355020 359290 360840 360937 366854 368600 372100 378200 396378 402876 411540 414675 417240 418399 420204 424194 425258 425475 426024 431148 440420 443775 446520 447640 449692 451050 457064 461404 493848 503595 514197 514425 521550 525255 528504 530100 532530 538935 541260 550281 550525 552900 558150 559550 562115 565592 567300 571330 576755 591700 601400 617310 630306 636291 637887 646722 649800 660630 663480 665323 669780 671460 674538 676575 680760 682651 685596 685900 692106 695400 700340 706990 710040 718580 721874 733708 744200 792756 805752 823080 829350 836798 837225 839325 840408 848388 850516 850950 856995 862296 875425 880840 887550 898225 899384 902100 917135 922808 990945 1007190 1011807 1028394 1028850 1038159 1043100 1050510 1060200 1060485 1063145 1065060 1077870 1082520 1082811 1085527 1100562 1101050 1105800 1116300 1119100 1124230 1134600 1142660 1153510 1183400 1234620 1255197 1260612 1272582 1275774 1293444 1321260 1330646 1331325 1339560 1342920 1343281 1349076 1353150 1365302 1371192 1371800 1384212 1400680 1413980 1428325 1437160 1443748 1467416 1543275 1575765 1585512 1616805 1650843 1651575 1658700 1673596 1674450 1678650 1686345 1696776 1701032 1701900 1713990 1730265 1750850 1767475 1775100 1796450 1804200 1804685 1834270 1913661 1981890 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123750078 124925133 125464068 125519700 127258200 127577400 127611695 128162220 129703690 129937320 130263240 130298257 131500140 132434294 133064600 134268564 134328100 136530200 137156060 139404520 149697675 150623640 153134034 153596475 153794664 155644428 156830085 157800168 160202775 161193720 162338812 162421650 162829050 164375175 164587272 165000104 165084300 166566844 167835705 171445075 174255650 185625117 188279550 191366100 192243330 194555535 195394860 197250210 198651441 199596900 201402846 201492150 202361400 202923515 204178712 204795300 205734090 206250130 207631800 208208555 209106780 212591893 213603700 216562200 217105400 219166900 223780940 229701051 233466642 239516280 241790580 243508218 244243575 245754360 246880908 247500156 249850266 250928136 251039400 255223390 256324440 259407380 260596514 261383475 263000280 264868588 268537128 268656200 274312120 279726175 299395350 302238225 306268068 307192950 308601135 309375195 311288856 313660170 320405550 324259225 324677624 324843300 325658100 328750350 330168600 331085735 333133688 335671410 342890150 348511300 365262327 371250234 374775399 376559100 382732200 382835085 384486660 389111070 390789720 390894771 394500420 397302882 399193800 402805692 402984300 405847030 409590600 411468180 412500260 416417110 418213560 425183786 427207400 438333800 447561880 459402102 466933284 480608325 483581160 487016436 488487150 493125525 493761816 495000312 499700532 503507115 510446780 514335225 515625325 518814760 521193028 522766950 529737176 559452350 583666605 595954323 598790700 604476450 608770545 612536136 614385900 617202270 618750390 624625665 627320340 637775679 638058475 640811100 648518450 649686600 651316200 651491285 657500700 662171470 671342820 685780300 697022600 730524654 742500468 749550798 753118200 765670170 768973320 778222140 781789542 784150425 789000840 791192509 794605764 805611384 805968600 811694060 822936360 825000520 832834220 839178525 850367572 918804204 928125585 933866568 961216650 972777675 974032872 976974300 986251050 993257205 999401064 1007014230 1014617575 1020893560 1028670450 1031250650 1041042775 1042386056 1045533900 1062959465 1118904700 1148505255 1167333210 1172684313 1191908646 1197581400 1208952900 1217541090 1228771800 1234404540 1237500780 1249251330 1254640680 1258125793 1275551358 1276116950 1281622200 1297036900 1302982570 1315001400 1324342940 1342685640 1371560600 1461049308 1485000936 1499101596 1531340340 1543005675 1546875975 1556444280 1563579084 1568300850 1582385018 1589211528 1623388120 1655428675 1665668440 1678357050 1700735144 1826311635 1837608408 1856251170 1873876995 1913327037 1914175425 1922433300 1945555350 1953948600 1954473855 1972502100 1986514410 2014028460 2029235150 2057340900 2062501300 2082085550 2091067800 2125918930 2237809400 2297010510 2334666420 2345368626 2373577527 2383817292 2417905800 2435082180 2468809080 2475001560 2475666883 2498502660 2516251586 2517535575 2551102716 2552233900 2594073800 2605965140 2648685880 2918333025 2922098616 2979771615 2998203192 3043852725 3062680680 3086011350 3093751950 3123128325 3127158168 3136601700 3164770036 3188878395 3257456425 3310857350 3356714100 3652623270 3712502340 3747753990 3774377379 3826654074 3828350850 3844866600 3891110700 3908947710 3945004200 3955962545 3973028820 4028056920 4039245967 4058470300 4114681800 4125002600 4164171100 4251837860 4594021020 4640627925 4669332840 4690737252 4747155054 4767634584 4870164360 4951333766 4966286025 4997005320 5032503172 5035071150 5102205432 5104467800 5211930280 5314797325 5742526275 5836666050 5863421565 5959543230 6087705450 6172022700 6187503900 6246256650 6273203400 6290628965 6329540072 6377756790 6514912850 6621714700 6713428200 7120732581 7305246540 7425004680 7427000649 7495507980 7548754758 7653308148 7656701700 7782221400 7817895420 7911925090 7946057640 8078491934 8116940600 8328342200 8503675720 9131558175 9188042040 9281255850 9369384975 9381474504 9494310108 9566635185 9772369275 9902667532 9932572050 10065006344 10070142300 10629594650 11323132137 11485052550 11673332100 11726843130 11867887635 11919086460 12117737901 12175410900 12344045400 12375007800 12378334415 12492513300 12581257930 12755513580 13029825700 13243429400 14241465162 14610493080 14854001298 14898858075 14991015960 15097509516 15306616296 15313403400 15635790840 15823850180 15944391975 16156983868 18263116350 18562511700 18738769950 18871886895 18988620216 19133270370 19544738550 19779812725 19805335064 19865144100 20140284600 20196229835 21259189300 22281001947 22646264274 22970105100 23346664200 23453686260 23735775270 23838172920 24235475802 24350821800 24756668830 24985026600 25162515860 25511027160 26059651400 28482930324 29317107825 29708002596 29797716150 30195019032 31453144825 31647700360 31888783950 32313967736 35603662905 36353213703 36526232700 37125023400 37135003245 37477539900 37743773790 38266540740 39089477100 39559625450 39730288200 40392459670 42518378600 44562003894 45292528548 45940210200 46907372520 47471550540 47833175925 48470951604 49513337660 50325031720 56615660685 56965860648 58634215650 59339438175 59416005192 59595432300 60588689505 61891672075 62906289650 63777567900 71207325810 72706427406 73052465400 74270006490 74955079800 75487547580 76533081480 76745673373 78178954200 79119250900 80784919340 89124007788 90585057096 94359434475 94943101080 95666351850 96941903208 99026675320 100981149175 111405009735 113231321370 117268431300 118678876350 119190864600 121177379010 123783344150 125812579300 127555135800 142414651620 145412854812 148540012980 150975095160 153491346746 158238501800 161569838680 178018314525 178248015576 181766068515 185675016225 188718868950 191332703700 201962298350 222810019470 226462642740 230237020119 234536862600 237357752700 242354758020 247566688300 251625158600 283078303425 284829303240 290825709624 297080025960 302943447525 306982693492 356036629050 363532137030 371350032450 377437737900 382665407400 383728366865 403924596700 445620038940 452925285480 460474040238 474715505400 484709516040 495133376600 557025048675 566156606850 605886895050 613965386984 690711060357 712073258100 727064274060 742700064900 754875475800 767456733730 807849193400 891240077880 908830342575 920948080476 1114050097350 1132313213700 1151185100595 1211773790100 1381422120714 1424146516200 1454128548120 1485400129800 1534913467460 1817660685150 1841896160952 1918641834325 2228100194700 2264626427400 2302370201190 2423547580200 2762844241428 3069826934920 3453555301785 3635321370300 3837283668650 4456200389400 4604740402380 5525688482856 5755925502975 6907110603570 7270642740600 7674567337300 9209480804760 11511851005950 13814221207140 15349134674600 17267776508925 23023702011900 27628442414280 34535553017850 46047404023800 69071106035700 138142212071400
- Sum of all divisors σ(n): 519215043110400
- Sum of proper divisors (its aliquot sum) s(n): 381072831039000
- 138142212071400 is an abundant number, because the sum of its proper divisors (381072831039000) is greater than itself. Its abundance is 242930618967600
Bases of 138142212071400
- Binary: 111110110100011101111010111101010011111111010002
- Hexadecimal: 0x7DA3BD7A9FE8
- Base-36: 1CYTNMCA20
Squares and roots of 138142212071400
- 138142212071400 squared (1381422120714002) is 19083270755979651878697960000
- 138142212071400 cubed (1381422120714003) is 2636205235788486869490239018426554344000000
-
The
square root of 138142212071400 is 11753391.5135759855 -
The
cube root of 138142212071400 is 51694.2376879973
Scales and comparisons
How big is 138142212071400?- 138,142,212,071,400 seconds is equal to 4,392,495 years, 2 weeks, 1 day, 6 hours, 30 minutes.
-
To count from 1 to 138,142,212,071,400 would take you about ten million, nine hundred eighty-one thousand, two hundred thirty-seven 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 138142212071400 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138142212071400
- 138142212071400 backwards is 004170212241831
- 138142212071400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138142212071400's digits is 36
- More coming soon!
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"Number 138142212071400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138142212071400 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138142212071400/
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The information we have on file for 138142212071400 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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