137142319941000
137,142,319,941,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137142319941000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
137142319941000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 137142319941000:
23 × 35 × 53 × 11 × 19 × 71 × 73 × 521
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 19 × 71 × 73 × 521)See below for interesting mathematical facts about the number 137142319941000 from the Numbermatics database.
Names of 137142319941000
- Cardinal: 137142319941000 can be written as One hundred thirty-seven trillion, one hundred forty-two billion, three hundred nineteen million, nine hundred forty-one thousand.
Scientific notation
- Scientific notation: 1.37142319941 × 1014
Factors of 137142319941000
Divisors of 137142319941000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 19 20 22 24 25 27 30 33 36 38 40 44 45 50 54 55 57 60 66 71 72 73 75 76 81 88 90 95 99 100 108 110 114 120 125 132 135 142 146 150 152 162 165 171 180 190 198 200 209 213 216 219 220 225 228 243 250 264 270 275 284 285 292 297 300 324 330 342 355 360 365 375 380 396 405 418 426 438 440 450 456 475 486 495 500 513 521 540 550 568 570 584 594 600 627 639 648 657 660 675 684 710 730 750 760 781 792 803 810 825 836 852 855 876 891 900 950 972 990 1000 1026 1042 1045 1065 1080 1095 1100 1125 1140 1188 1215 1254 1278 1314 1320 1349 1350 1368 1375 1387 1420 1425 1460 1485 1500 1539 1562 1563 1606 1620 1650 1672 1704 1710 1752 1775 1782 1800 1825 1881 1900 1917 1944 1971 1980 2025 2052 2084 2090 2130 2190 2200 2250 2280 2343 2375 2376 2409 2430 2475 2508 2556 2565 2605 2628 2673 2698 2700 2750 2774 2840 2850 2920 2970 3000 3078 3124 3126 3135 3195 3212 3240 3285 3300 3375 3420 3550 3564 3650 3762 3800 3834 3905 3942 3960 4015 4047 4050 4104 4125 4161 4168 4180 4260 4275 4380 4455 4500 4617 4686 4689 4750 4818 4860 4950 5016 5112 5130 5183 5210 5225 5256 5325 5346 5396 5400 5475 5500 5548 5643 5700 5731 5751 5913 5940 6075 6156 6248 6252 6270 6390 6424 6570 6600 6745 6750 6840 6935 7029 7100 7125 7128 7227 7300 7425 7524 7668 7695 7810 7815 7884 8030 8094 8100 8250 8322 8360 8520 8550 8760 8875 8910 9000 9125 9234 9372 9378 9405 9500 9585 9636 9720 9855 9899 9900 10125 10260 10366 10420 10450 10650 10692 10792 10950 11000 11096 11286 11400 11462 11502 11715 11826 11880 12045 12141 12150 12312 12375 12483 12504 12540 12780 12825 13025 13140 13365 13490 13500 13870 14058 14067 14200 14250 14454 14600 14839 14850 15048 15257 15336 15390 15549 15620 15630 15675 15768 15975 16060 16188 16200 16425 16500 16644 16929 17100 17193 17253 17739 17750 17820 18250 18468 18744 18756 18810 19000 19170 19272 19525 19710 19798 19800 20075 20235 20250 20520 20732 20805 20840 20900 21087 21300 21375 21384 21681 21900 22275 22572 22924 23004 23085 23430 23445 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2541555225 2565325850 2575442628 2624733396 2632290210 2646002700 2658879000 2673339570 2700343000 2746581750 2770551918 2770831800 2783202840 2821858435 2823950250 2846457450 2861602920 2899169625 2916370440 2924766900 2926639350 2940003000 2970377300 2980836375 2991238875 2996271000 3037885875 3078391020 3080673000 3131103195 3162730500 3208007484 3219303285 3249741000 3251821500 3280916745 3295898100 3307503375 3386230122 3388740300 3415748940 3463539750 3479003550 3509720280 3511967220 3564452760 3577003650 3605877000 3645463050 3655958625 3662109000 3694069224 3707451000 3712971625 3757323834 3765267000 3795276600 3847988775 3863163942 3865559500 3902185800 3955077720 3974448500 3988318500 4010009355 4050514500 4066488360 4119872625 4155827877 4174804260 4235925375 4269686175 4292404380 4374555660 4387150350 4389959025 4410004500 4455565950 4494406500 4514973496 4617586530 4618053000 4621009500 4638671400 4744095750 4769338200 4785982200 4812011226 4860617400 4874611500 4877732250 4943847150 5009765112 5079345183 5083110450 5130651700 5150885256 5218505325 5249466792 5264580420 5292005400 5346679140 5365505475 5468194575 5493163500 5541103836 5643716870 5647900500 5692914900 5798339250 5849533800 5853278700 5940754600 5961672750 5982477750 6075771750 6156782040 6262206390 6325461000 6413314625 6416014968 6438606570 6503643000 6561833490 6580725525 6591796200 6615006750 6683348925 6772460244 6777480600 6831497880 6926379795 6927079500 6958007100 7023934440 7116143625 7154007300 7218016839 7290926100 7311917250 7316598375 7425943250 7514647668 7695977550 7726327884 7731119000 7948897000 7976637000 8020018710 8101029000 8239745250 8311655754 8349608520 8465575305 8471850750 8539372350 8584808760 8697508875 8749111320 8774300700 8779918050 8820009000 8911131900 8942509125 8988813000 9113657625 9235173060 9242019000 9393309585 9488191500 9624022452 9657909855 9749223000 9755464500 9887694300 10158690366 10166220900 10261303400 10437010650 10529160840 10693358280 10731010950 10936389150 10967875875 10986327000 11082207672 11138914875 11287433740 11295801000 11385829800 11543966325 11596678500 11706557400 11923345500 11964955500 12030028065 12151543500 12359617875 12467483631 12524412780 12707776125 12826629250 12877213140 13123666980 13161451050 13230013500 13366697850 13544920488 13852759590 13854159000 13916014200 14109292175 14232287250 14308014600 14436033678 14581852200 14623834500 14633196750 14851886500 15029295336 15238035549 15391955100 15452655768 15655515975 16040037420 16096516425 16404583725 16479490500 16623311508 16931150610 16943701500 17078744700 17395017750 17548601400 17559836100 17822263800 17885018250 18227315250 18470346120 18786619170 18976383000 19239943875 19248044904 19315819710 19510929000 19775388600 20050046775 20317380732 20332441800 20779139385 20874021300 21348430875 21462021900 21872778300 21935751750 21949795125 22277829750 22574867480 23087932650 23193357000 23846691000 23929911000 24060056130 24303087000 24719235750 24934967262 25048825560 25396725915 25415552250 25653258500 25754426280 26092526625 26247333960 26322902100 26460027000 26733395700 26827527375 27340972875 27705519180 28218584350 28464574500 28872067356 29247669000 29266393500 29703773000 30476071098 30783910200 31311031950 32080074840 32193032850 32809167450 32903627625 32958981000 33246623016 33416744625 33862301220 33887403000 34157489400 34631898975 34790035500 35119672200 35770036500 36090084195 36454630500 37573238340 38479887750 38631639420 40100093550 40634761464 41558278770 41748042600 42327876525 42696861750 42924043800 43745556600 43871503500 43899590250 44555659500 45714106647 46175865300 46966547925 48120112260 48289549275 49438471500 49869934524 50793451830 50831104500 51306517000 52185053250 52645804200 53466791400 53655054750 54681945750 55411038360 56437168700 56929149000 57719831625 57744134712 58532787000 60150140325 60952142196 62337418155 62622063900 64386065700 65618334900 65807255250 66833489250 67724602440 69263797950 69580071000 70546460875 71540073000 72180168390 72909261000 75146476680 76190177745 76959775500 77263278840 78277579875 80200187100 80482582125 82022918625 83116557540 84655753050 85393723500 87743007000 87799180500 89111319000 91428213294 92351730600 93933095850 96240224520 96579098550 98876943000 99739869048 100250233875 101586903660 101662209000 103895696925 104370106500 107310109500 109363891500 112874337400 115439663250 120300280650 121904284392 124674836310 125244127800 126983629575 128772131400 131236669800 131614510500 133666978500 137142319941 138527595900 141092921750 144360336780 152380355490 153919551000 156555159750 160400374200 160965164250 164045837250 166233115080 169311506100 170787447000 173159494875 175598361000 180450420975 182856426588 187866191700 193158197100 200500467750 203173807320 207791393850 208740213000 211639382625 214620219000 218727783000 228570533235 230879326500 234832739625 240600561300 241447746375 249349672620 253967259150 263229021000 267333957000 274284639882 277055191800 282185843500 288720673560 300750701625 304760710980 311687090775 313110319500 321930328500 328091674500 338623012200 346318989750 360900841950 365712853176 375732383400 380950888725 386316394200 401000935500 415582787700 423278765250 457141066470 461758653000 469665479250 481201122600 482895492750 498699345240 507934518300 519478484625 548569279764 564371687000 601501403250 609521421960 623374181550 626220639000 634918147875 643860657000 656183349000 685711599705 692637979500 721801683900 761901777450 802001871000 831165575400 846557530500 902252104875 914282132940 939330958500 965790985500 1015869036600 1038956969250 1097138559528 1142852666175 1203002806500 1246748363100 1269836295750 1371423199410 1385275959000 1443603367800 1523803554900 1558435453875 1693115061000 1804504209750 1828564265880 1878661917000 1904754443625 1931581971000 2077913938500 2285705332350 2406005613000 2493496726200 2539672591500 2742846398820 3047607109800 3116870907750 3428557998525 3609008419500 3809508887250 4155827877000 4571410664700 5079345183000 5485692797640 5714263330875 6233741815500 6857115997050 7218016839000 7619017774500 9142821329400 11428526661750 12467483631000 13714231994100 15238035549000 17142789992625 22857053323500 27428463988200 34285579985250 45714106647000 68571159970500 137142319941000
- Sum of all divisors σ(n): 568542849638400
- Sum of proper divisors (its aliquot sum) s(n): 431400529697400
- 137142319941000 is an abundant number, because the sum of its proper divisors (431400529697400) is greater than itself. Its abundance is 294258209756400
Bases of 137142319941000
- Binary: 111110010111010111011110100001110000101100010002
- Hexadecimal: 0x7CBAEF438588
- Base-36: 1CM2B8DSI0
Squares and roots of 137142319941000
- 137142319941000 squared (1371423199410002) is 18808015918799606243481000000
- 137142319941000 cubed (1371423199410003) is 2579374936591436676108292447554621000000000
-
The
square root of 137142319941000 is 11710777.9391891809 -
The
cube root of 137142319941000 is 51569.2122415293
Scales and comparisons
How big is 137142319941000?- 137,142,319,941,000 seconds is equal to 4,360,701 years, 29 weeks, 2 days, 16 hours, 30 minutes.
-
To count from 1 to 137,142,319,941,000 would take you about ten million, nine hundred one thousand, seven hundred fifty-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 137142319941000 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137142319941000
- 137142319941000 backwards is 000149913241731
- 137142319941000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137142319941000's digits is 45
- More coming soon!
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"Number 137142319941000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137142319941000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137142319941000/
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The information we have on file for 137142319941000 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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