137140404857326080
137,140,404,857,326,080 is an even composite number composed of seven prime numbers multiplied together.
137140404857326080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137140404857326080:
29 × 34 × 5 × 7 × 172 × 31 × 10545881
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 17 × 17 × 31 × 10545881)See below for interesting mathematical facts about the number 137140404857326080 from the Numbermatics database.
Names of 137140404857326080
- Cardinal: 137140404857326080 can be written as One hundred thirty-seven quadrillion, one hundred forty trillion, four hundred four billion, eight hundred fifty-seven million, three hundred twenty-six thousand and eighty.
Scientific notation
- Scientific notation: 1.3714040485732608 × 1017
Factors of 137140404857326080
Divisors of 137140404857326080
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 31 32 34 35 36 40 42 45 48 51 54 56 60 62 63 64 68 70 72 80 81 84 85 90 93 96 102 105 108 112 119 120 124 126 128 135 136 140 144 153 155 160 162 168 170 180 186 189 192 204 210 216 217 224 238 240 248 252 255 256 270 272 279 280 288 289 306 310 315 320 324 336 340 357 360 372 378 384 405 408 420 432 434 448 459 465 476 480 496 504 510 512 527 540 544 558 560 567 576 578 595 612 620 630 640 648 651 672 680 714 720 744 756 765 768 810 816 837 840 864 867 868 896 918 930 945 952 960 992 1008 1020 1054 1071 1080 1085 1088 1116 1120 1134 1152 1156 1190 1224 1240 1260 1280 1296 1302 1344 1360 1377 1395 1428 1440 1445 1488 1512 1530 1536 1581 1620 1632 1674 1680 1728 1734 1736 1785 1792 1836 1860 1890 1904 1920 1953 1984 2016 2023 2040 2108 2142 2160 2170 2176 2232 2240 2268 2295 2304 2312 2380 2448 2480 2511 2520 2560 2592 2601 2604 2635 2688 2720 2754 2790 2835 2856 2880 2890 2976 3024 3060 3162 3213 3240 3255 3264 3348 3360 3456 3468 3472 3570 3584 3672 3689 3720 3780 3808 3840 3906 3968 4032 4046 4080 4185 4216 4284 4320 4335 4340 4352 4464 4480 4536 4590 4608 4624 4743 4760 4896 4960 5022 5040 5184 5202 5208 5270 5355 5376 5440 5508 5580 5670 5712 5760 5780 5859 5952 6048 6069 6120 6324 6426 6480 6510 6528 6696 6720 6885 6912 6936 6944 7140 7344 7378 7440 7560 7616 7680 7803 7812 7905 7936 8064 8092 8160 8370 8432 8568 8640 8670 8680 8704 8928 8959 8960 9072 9180 9248 9486 9520 9639 9765 9792 9920 10044 10080 10115 10368 10404 10416 10540 10710 10752 10880 11016 11067 11160 11340 11424 11520 11560 11718 11904 12096 12138 12240 12555 12648 12852 12960 13005 13020 13056 13392 13440 13770 13824 13872 13888 14229 14280 14688 14756 14880 15120 15232 15606 15624 15810 15872 16065 16128 16184 16320 16740 16864 17136 17280 17340 17360 17577 17856 17918 17920 18144 18207 18360 18445 18496 18972 19040 19278 19530 19584 19840 20088 20160 20230 20736 20808 20832 21080 21420 21760 22032 22134 22320 22680 22848 23040 23120 23409 23436 23715 23808 24192 24276 24480 25110 25296 25704 25920 26010 26040 26112 26784 26877 26880 27540 27744 27776 28458 28560 29295 29376 29512 29760 30240 30345 30464 31212 31248 31620 32130 32256 32368 32640 33201 33480 33728 34272 34560 34680 34720 35154 35712 35836 36288 36414 36720 36890 36992 37944 38080 38556 39015 39060 39168 39680 40176 40320 40460 41472 41616 41664 42160 42687 42840 43520 44064 44268 44640 44795 45360 45696 46240 46818 46872 47430 47616 48195 48384 48552 48960 50220 50592 51408 51840 52020 52080 53568 53754 53760 54621 55080 55335 55488 55552 56916 57120 58590 58752 59024 59520 60480 60690 60928 62424 62496 62713 63240 64260 64736 65280 66402 66960 67456 68544 69120 69360 69440 70308 71145 71424 71672 72576 72828 73440 73780 73984 75888 76160 77112 78030 78120 78336 79360 80352 80631 80640 80920 83232 83328 84320 85374 85680 87885 88128 88536 89280 89590 90720 91035 91392 92480 93636 93744 94860 96390 96768 97104 97920 99603 100440 101184 102816 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30233775321280 30611697512796 30721416858720 31512041557290 31599171626112 31635618190848 31745464087344 32012232693120 32528559026880 32769511315968 33612844327776 33895305204480 34012997236440 34561593966060 35110190695680 35713647098262 36013761779760 36280530385536 36865700230464 37175496030720 37347604808640 38264621890995 38414679231744 39498964532640 39544522738560 39681830109180 40815596683728 40961889144960 42016055409720 42132228834816 42327285449792 42682976924160 43371412035840 44817125770368 45350662981920 46082125288080 47453427286272 47618196131016 48018349039680 48374040514048 49154266973952 49796806411520 50419266491664 51019495854660 52045694443008 52665286043520 52726030318080 52909106812240 53570470647393 54420795578304 54615852193280 55298550345696 56021407212960 57622018847616 59316784107840 59522745163770 59756167693824 60467550642560 61223395025592 61442833717440 63024083114580 63198343252224 63490928174688 64024465386240 65057118053760 67225688655552 67790610408960 68025994472880 69123187932120 70220381391360 71427294196524 72027523559520 72561060771072 73731400460928 74695209617280 76529243781990 76829358463488 78997929065280 79089045477120 79363660218360 81631193367456 81923778289920 84032110819440 84654570899584 86742824071680 89284117745655 89634251540736 90701325963840 92164250576160 94906854572544 95236392262032 96036698079360 98308533947904 99593612823040 100838532983328 102038991709320 105330572087040 105818213624480 107140941294786 108841591156608 110597100691392 112042814425920 115244037695232 118633568215680 119045490327540 120935101285120 122446790051184 122885667434880 126048166229160 126396686504448 126981856349376 128048930772480 130114236107520 134451377311104 136051988945760 138246375864240 142854588393048 144055047119040 145122121542144 147462800921856 149390419234560 153058487563980 157995858130560 158178090954240 158727320436720 163262386734912 163847556579840 168064221638880 169309141799168 178568235491310 179268503081472 181402651927680 184328501152320 190472784524064 192073396158720 201677065966656 204077983418640 210661144174080 211636427248960 214281882589572 217683182313216 221194201382784 224085628851840 230488075390464 237267136431360 238090980655080 241870202570240 244893580102368 245771334869760 252096332458320 253963712698752 260228472215040 267852353236965 268902754622208 272103977891520 276492751728480 285709176786096 288110094238080 294925601843712 298780838469120 306116975127960 315991716261120 317454640873440 326524773469824 336128443277760 338618283598336 357136470982620 362805303855360 368657002304640 380945569048128 384146792317440 403354131933312 408155966837280 423272854497920 428563765179144 435366364626432 442388402765568 448171257703680 474534272862720 476181961310160 489787160204736 491542669739520 504192664916640 507927425397504 535704706473930 537805509244416 544207955783040 552985503456960 571418353572192 576220188476160 612233950255920 631983432522240 634909281746880 653049546939648 672256886555520 714272941965240 725610607710720 737314004609280 761891138096256 806708263866624 816311933674560 846545708995840 857127530358288 884776805531136 896342515407360 952363922620320 979574320409472 1008385329833280 1015854850795008 1071409412947860 1088415911566080 1105971006913920 1142836707144384 1152440376952320 1224467900511840 1269818563493760 1306099093879296 1344513773111040 1428545883930480 1474628009218560 1523782276192512 1613416527733248 1632623867349120 1693091417991680 1714255060716576 1904727845240640 1959148640818944 2016770659666560 2142818825895720 2176831823132160 2211942013827840 2285673414288768 2448935801023680 2539637126987520 2689027546222080 2857091767860960 3047564552385024 3265247734698240 3428510121433152 3809455690481280 3918297281637888 4033541319333120 4285637651791440 4423884027655680 4571346828577536 4897871602047360 5079274253975040 5714183535721920 6530495469396480 6857020242866304 7618911380962560 8067082638666240 8571275303582880 9142693657155072 9795743204094720 11428367071443840 13714040485732608 15237822761925120 17142550607165760 19591486408189440 22856734142887680 27428080971465216 34285101214331520 45713468285775360 68570202428663040 137140404857326080
- Sum of all divisors σ(n): 615564410669632512
- Sum of proper divisors (its aliquot sum) s(n): 478424005812306432
- 137140404857326080 is an abundant number, because the sum of its proper divisors (478424005812306432) is greater than itself. Its abundance is 341283600954980352
Bases of 137140404857326080
- Binary: 1111001110011100001111000101110111101111111001010000000002
- Hexadecimal: 0x1E73878BBDFCA00
- Base-36: 11IC7S8VQ800
Squares and roots of 137140404857326080
- 137140404857326080 squared (1371404048573260802) is 18807490644431306676880647448166400
- 137140404857326080 cubed (1371404048573260803) is 2579266881327681976742275433391021259824102899712000
-
The
square root of 137140404857326080 is 370324728.9303349775 -
The
cube root of 137140404857326080 is 515689.7219936931
Scales and comparisons
How big is 137140404857326080?- 137,140,404,857,326,080 seconds is equal to 4,360,640,671 years, 17 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 137,140,404,857,326,080 would take you about thirteen billion, eighty-one million, nine hundred twenty-two thousand and fourteen 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 137140404857326080 cubic inches would be around 42974.1 feet tall.
Recreational maths with 137140404857326080
- 137140404857326080 backwards is 080623758404041731
- 137140404857326080 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137140404857326080's digits is 63
- More coming soon!
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"Number 137140404857326080 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 137140404857326080 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/137140404857326080/
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The information we have on file for 137140404857326080 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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