137468142554473920
137,468,142,554,473,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 137468142554473920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2352 divisors.
137468142554473920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 137468142554473920:
26 × 3 × 5 × 72 × 173 × 296
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 17 × 17 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 137468142554473920 from the Numbermatics database.
Names of 137468142554473920
- Cardinal: 137468142554473920 can be written as One hundred thirty-seven quadrillion, four hundred sixty-eight trillion, one hundred forty-two billion, five hundred fifty-four million, four hundred seventy-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3746814255447392 × 1017
Factors of 137468142554473920
Divisors of 137468142554473920
- Number of divisors d(n): 2352
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 29 30 32 34 35 40 42 48 49 51 56 58 60 64 68 70 80 84 85 87 96 98 102 105 112 116 119 120 136 140 145 147 160 168 170 174 192 196 203 204 210 224 232 238 240 245 255 272 280 289 290 294 320 336 340 348 357 392 406 408 420 435 448 464 476 480 490 493 510 544 560 578 580 588 595 609 672 680 696 714 735 784 812 816 833 840 841 867 870 928 952 960 980 986 1015 1020 1088 1120 1156 1160 1176 1190 1218 1344 1360 1392 1421 1428 1445 1470 1479 1568 1624 1632 1666 1680 1682 1734 1740 1785 1856 1904 1960 1972 2023 2030 2040 2240 2312 2320 2352 2380 2436 2465 2499 2523 2720 2784 2842 2856 2890 2940 2958 3045 3136 3248 3264 3332 3360 3364 3451 3468 3480 3570 3808 3920 3944 4046 4060 4080 4165 4205 4263 4335 4624 4640 4704 4760 4872 4913 4930 4998 5046 5440 5568 5684 5712 5780 5880 5887 5916 6069 6090 6496 6664 6720 6728 6902 6936 6960 7105 7140 7395 7616 7840 7888 8092 8120 8160 8330 8381 8410 8526 8670 9248 9280 9408 9520 9744 9826 9860 9996 10092 10115 10353 11368 11424 11560 11760 11774 11832 12138 12180 12495 12615 12992 13328 13456 13804 13872 13920 14161 14210 14280 14297 14739 14790 15680 15776 16184 16240 16320 16660 16762 16820 17052 17255 17340 17661 18496 19040 19488 19652 19720 19992 20184 20230 20706 21315 22736 22848 23120 23520 23548 23664 24157 24276 24360 24389 24565 24990 25143 25230 26656 26912 27608 27744 27840 28322 28420 28560 28594 29435 29478 29580 30345 31552 32368 32480 33320 33524 33640 34104 34391 34510 34680 35322 38080 38976 39304 39440 39984 40368 40460 41209 41412 41905 42483 42630 42891 45472 46240 47040 47096 47328 48314 48552 48720 48778 49130 49980 50286 50460 51765 53312 53824 55216 55488 56644 56840 57120 57188 58667 58870 58956 59160 60690 64736 64960 66640 67048 67280 68208 68782 69020 69360 70644 70805 71485 72471 73167 73695 78608 78880 79968 80736 80920 82418 82824 83810 84966 85260 85782 88305 90944 92480 94192 94656 96628 97104 97440 97556 98260 99960 100079 100572 100920 103173 103530 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11891707833432 12033275783830 12092553004440 13278097416640 13590523238208 13621496487760 13752315181520 13942002287472 13990244509920 14107978505180 14439930940596 14611834880365 14813377430439 14864634791790 15855610444576 16123404005920 16345795785312 16402355632320 16502778217824 16846586097362 16929574206216 16988154047760 17427502859340 17534201856438 18049913675745 18589336383296 19253241254128 19348084807104 19751169907252 19819513055720 19917146124960 20432244731640 20456568832511 20628472772280 21161967757770 22572765608288 22650872063680 23236670479120 23351136836160 23378935808584 23783415666864 24066551567660 24185106008880 24688962384065 25269879146043 27242992975520 27504630363040 27884004574944 27980489019840 28215957010360 28879861881192 29223669760730 29626754860878 29729269583580 31711220889152 32246808011840 32691591570624 33005556435648 33693172194724 33859148412432 33976308095520 34855005718680 35068403712876 36099827351490 38506482508256 39502339814504 39639026111440 39834292249920 40864489463280 40913137665022 41256945544560 42116465243405 42323935515540 43835504641095 45145531216576 46473340958240 46757871617168 47566831333728 48133103135320 48370212017760 49377924768130 50539758292086 54485985951040 55009260726080 55768009149888 56431914020720 57759723762384 58447339521460 59253509721756 59458539167160 61369706497533 67386344389448 67718296824864 67952616191040 69710011437360 70136807425752 72199654702980 74066887152195 77012965016512 79004679629008 79278052222880 81728978926560 81826275330044 82513891089120 84232930486810 84647871031080 87671009282190 92946681916480 93515743234336 95133662667456 96266206270640 96740424035520 98755849536260 101079516584172 102282844162555 112863828041440 115519447524768 116894679042920 118507019443512 118917078334320 122739412995066 126349395730215 134772688778896 135436593649728 139420022874720 140273614851504 143195981827577 144399309405960 148133774304390 158009359258016 158556104445760 163457957853120 163652550660088 165027782178240 168465860973620 169295742062160 175342018564380 187031486468672 192532412541280 197511699072520 202159033168344 204565688325110 225727656082880 231038895049536 233789358085840 237014038887024 237834156668640 245478825990132 252698791460430 269545377557792 278840045749440 280547229703008 286391963655154 288798618811920 296267548608780 306848532487665 316018718516032 327305101320176 336931721947240 338591484124320 350684037128760 385064825082560 395023398145040 404318066336688 409131376650220 429587945482731 467578716171680 474028077774048 475668313337280 490957651980264 505397582920860 539090755115584 561094459406016 572783927310308 577597237623840 592535097217560 613697064975330 654610202640352 673863443894480 677182968248640 701368074257520 715979909137885 790046796290080 808636132673376 818262753300440 859175890965462 935157432343360 948056155548096 981915303960528 1010795165841720 1145567854620616 1155194475247680 1185070194435120 1227394129950660 1309220405280704 1347726887788960 1402736148515040 1431959818275770 1580093592580160 1617272265346752 1636525506600880 1718351781930924 1963830607921056 2021590331683440 2147939727413655 2291135709241232 2370140388870240 2454788259901320 2695453775577920 2805472297030080 2863919636551540 3273051013201760 3436703563861848 3927661215842112 4043180663366880 4295879454827310 4582271418482464 4740280777740480 4909576519802640 5727839273103080 6546102026403520 6873407127723696 8086361326733760 8591758909654620 9164542836964928 9819153039605280 11455678546206160 13746814255447392 17183517819309240 19638306079210560 22911357092412320 27493628510894784 34367035638618480 45822714184824640 68734071277236960 137468142554473920
- Sum of all divisors σ(n): 558712355124561120
- Sum of proper divisors (its aliquot sum) s(n): 421244212570087200
- 137468142554473920 is an abundant number, because the sum of its proper divisors (421244212570087200) is greater than itself. Its abundance is 283776070015613280
Bases of 137468142554473920
- Binary: 1111010000110001010001100000111001110010001100101110000002
- Hexadecimal: 0x1E8628C1CE465C0
- Base-36: 11LKE0V6O91C
Squares and roots of 137468142554473920
- 137468142554473920 squared (1374681425544739202) is 18897490217377163447154607960166400
- 137468142554473920 cubed (1374681425544739203) is 2597802879124180251301427078047013340565467660288000
-
The
square root of 137468142554473920 is 370766965.2955531581 -
The
cube root of 137468142554473920 is 516100.1930643663 - Being both a perfect square and a perfect cube, 137468142554473920 is also a
perfect sixth number .
Scales and comparisons
How big is 137468142554473920?- 137,468,142,554,473,920 seconds is equal to 4,371,061,716 years, 18 weeks, 20 hours, 32 minutes.
-
To count from 1 to 137,468,142,554,473,920 would take you about thirteen billion, one hundred thirteen million, one hundred eighty-five thousand, one hundred forty-nine 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 137468142554473920 cubic inches would be around 43008.3 feet tall.
Recreational maths with 137468142554473920
- 137468142554473920 backwards is 029374455241864731
- The number of decimal digits it has is: 18
- The sum of 137468142554473920's digits is 75
- More coming soon!
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Cite this page
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"Number 137468142554473920 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 137468142554473920 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/137468142554473920/
Chicago style:
Numbermatics. 2024. "Number 137468142554473920 - Facts about the integer". https://numbermatics.com/n/137468142554473920/
The information we have on file for 137468142554473920 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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