137740520207400
137,740,520,207,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137740520207400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
137740520207400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137740520207400:
23 × 3 × 52 × 11 × 292 × 432 × 13421
(2 × 2 × 2 × 3 × 5 × 5 × 11 × 29 × 29 × 43 × 43 × 13421)See below for interesting mathematical facts about the number 137740520207400 from the Numbermatics database.
Names of 137740520207400
- Cardinal: 137740520207400 can be written as One hundred thirty-seven trillion, seven hundred forty billion, five hundred twenty million, two hundred seven thousand, four hundred.
Scientific notation
- Scientific notation: 1.377405202074 × 1014
Factors of 137740520207400
Divisors of 137740520207400
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 29 30 33 40 43 44 50 55 58 60 66 75 86 87 88 100 110 116 120 129 132 145 150 165 172 174 200 215 220 232 258 264 275 290 300 319 330 344 348 430 435 440 473 516 550 580 600 638 645 660 696 725 825 841 860 870 946 957 1032 1075 1100 1160 1247 1276 1290 1320 1419 1450 1595 1650 1682 1720 1740 1849 1892 1914 2150 2175 2200 2365 2494 2523 2552 2580 2838 2900 3190 3225 3300 3364 3480 3698 3741 3784 3828 4205 4300 4350 4730 4785 4988 5046 5160 5547 5676 5800 6235 6380 6450 6600 6728 7095 7396 7482 7656 7975 8410 8600 8700 9245 9251 9460 9570 9976 10092 11094 11352 11825 12470 12615 12760 12900 13421 13717 14190 14792 14964 15950 16820 17400 18490 18502 18705 18920 19140 20184 20339 21025 22188 23650 23925 24940 25230 25800 26842 27434 27735 27753 28380 29928 31175 31900 33640 35475 36163 36980 37004 37410 38280 40263 40678 41151 42050 44376 46225 46255 47300 47850 49880 50460 53621 53684 54868 55470 55506 56760 61017 62350 63075 63800 67105 68585 70950 72326 73960 74008 74820 80526 81356 82302 84100 92450 92510 93525 94600 95700 100920 101695 107242 107368 108489 109736 110940 111012 122034 124700 126150 134210 137170 138675 138765 141900 144652 147631 149640 160863 161052 162712 164604 168200 180815 184900 185020 187050 191400 201315 203390 205755 214484 216978 221880 222024 231275 244068 249400 252300 268105 268420 274340 277350 277530 283800 289304 295262 305085 321726 322104 329208 335525 342925 361630 369800 370040 374100 389209 397793 402630 406780 411510 428968 433956 442893 462550 488136 504600 508475 536210 536840 542445 548680 554700 555060 577103 589831 590524 610170 643452 671050 685850 693825 723260 738155 748200 778418 795586 804315 805260 813560 823020 867912 885786 904075 925100 1006575 1016950 1028775 1072420 1084890 1109400 1110120 1154206 1167627 1179662 1181048 1193379 1220340 1286904 1340525 1342100 1371700 1387650 1446520 1476310 1525425 1555009 1556836 1591172 1608630 1610520 1646040 1731309 1769493 1771572 1808150 1850200 1946045 1988965 2013150 2033900 2057550 2144840 2169780 2214465 2308412 2335254 2359324 2386758 2440680 2681050 2684200 2712225 2743400 2775300 2885515 2949155 2952620 3050850 3110018 3113672 3182344 3217260 3462618 3538986 3543144 3616300 3690775 3892090 3977930 4021575 4026300 4067800 4115100 4281299 4339560 4428930 4616824 4665027 4670508 4718648 4773516 5362100 5424450 5550600 5771030 5838135 5898310 5905240 5966895 6101700 6220036 6348133 6434520 6925236 7077972 7232600 7381550 7775045 7784180 7955860 8043150 8052600 8230200 8562598 8656545 8847465 8857860 9330054 9341016 9547032 9730225 9944825 10724200 10848900 11072325 11287061 11542060 11676270 11796620 11933790 12203400 12440072 12696266 12843897 13850472 14155944 14427575 14745775 14763100 15550090 15568360 15911720 16086300 16735987 17105099 17125196 17313090 17694930 17715720 18660108 19044399 19460450 19889650 21406495 21697800 22144650 22574122 23084120 23325135 23352540 23593240 23867580 24815429 25392532 25687794 28855150 29190675 29491550 29526200 29834475 31100180 31740665 32172600 33471974 33861183 34210198 34250392 34626180 35389860 37320216 38088798 38875225 38920900 39779300 42812990 43282725 44237325 44289300 45148244 46650270 46705080 47735160 49630858 50207961 50785064 51315297 51375588 56435305 57710300 58381350 58983100 59668950 62200360 63481330 64219485 66943948 67722366 68420396 69252360 70779720 74446287 76177596 77750450 77841800 79558600 83679935 85525495 85625980 86565450 88474650 88578600 90296488 93300540 95221995 99261716 100415922 102630594 102751176 107032475 112870610 115420600 116625675 116762700 117966200 119337900 124077145 124157671 126962660 128438970 133887896 135444732 136840792 148892574 152355192 155500900 158703325 167359870 169305915 171050990 171251960 173130900 176949300 184095857 186601080 190443990 198523432 200831844 205261188 214064950 225741220 233251350 233525400 238675800 248154290 248315342 251039805 253925320 256576485 256877940 270889464 272969719 282176525 297785148 311001800 317406650 321097425 334719740 338611830 342101980 346261800 353898600 368191714 372231435 372473013 380887980 401663688 410522376 418399675 427627475 428129900 451482440 466502700 476109975 485343623 496308580 496630684 502079610 513152970 513755880 545939438 552287571 564353050 595570296 620385725 620788355 634813300 642194850 669439480 677223660 684203960 719647441 736383428 744462870 744946026 761775960 818909157 836799350 846529575 855254950 856259800 920479285 933005400 952219950 970687246 992617160 993261368 1004159220 1026305940 1091878876 1104575142 1128706100 1240771450 1241576710 1255199025 1269626600 1282882425 1284389700 1354447320 1364848595 1439294882 1456030869 1472766856 1488925740 1489892052 1637818314 1673598700 1693059150 1710509900 1840958570 1861157175 1862365065 1904439900 1941374492 2008318440 2052611880 2158942323 2183757752 2209150284 2257412200 2426718115 2481542900 2483153420 2510398050 2565764850 2568779400 2729697190 2761437855 2878589764 2912061738 2977851480 2979784104 3103941775 3275636628 3347197400 3386118300 3421019800 3598237205 3681917140 3722314350 3724730130 3808879800 3882748984 4094545785 4317884646 4418300568 4602396425 4853436230 4963085800 4966306840 5020796100 5131529700 5338779853 5459394380 5522875710 5757179528 5824123476 6207883550 6551273256 6772236600 6824242975 7196474410 7280154345 7363834280 7444628700 7449460260 7916121851 8189091570 8635769292 9204792850 9311825325 9706872460 10041592200 10263059400 10677559706 10794711615 10918788760 11045751420 11648246952 12133590575 12415767100 13648485950 13807189275 14392948820 14560308690 14889257400 14898920520 15832243702 16016339559 16378183140 17271538584 17991186025 18409585700 18623650650 19413744920 20472728925 20869775789 21355119412 21589423230 22091502840 23748365553 24267181150 24831534200 26693899265 27296971900 27614378550 28785897640 29120617380 31664487404 32032679118 32756366280 35982372050 36400771725 36819171400 37247301300 39580609255 40945457850 41739551578 42710238824 43178846460 47496731106 48534362300 53387798530 53973558075 54593943800 55228757100 58241234760 62609327367 63328974808 64065358236 71964744100 72801543450 74494602600 79161218510 80081697795 81890915700 83479103156 86357692920 94993462212 97068724600 104348878945 106775597060 107947116150 110457514200 118741827765 125218654734 128130716472 133469496325 143929488200 145603086900 158322437020 160163395590 163781831400 166958206312 189986924424 197903046275 208697757890 213551194120 215894232300 229567533679 237483655530 250437309468 266938992650 291206173800 313046636835 316644874040 320326791180 395806092550 400408488975 417395515780 431788464600 459135067358 474967311060 500874618936 521744394725 533877985300 593709138825 626093273670 640653582360 688702601037 791612185100 800816977950 834791031560 918270134716 949934622120 1043488789450 1067755970600 1147837668395 1187418277650 1252186547340 1377405202074 1565233184175 1583224370200 1601633955900 1836540269432 2086977578900 2295675336790 2374836555300 2504373094680 2754810404148 3130466368350 3203267911800 3443513005185 4173955157800 4591350673580 4749673110600 5509620808296 5739188341975 6260932736700 6887026010370 9182701347160 11478376683950 12521865473400 13774052020740 17217565025925 22956753367900 27548104041480 34435130051850 45913506735800 68870260103700 137740520207400
- Sum of all divisors σ(n): 493946819889120
- Sum of proper divisors (its aliquot sum) s(n): 356206299681720
- 137740520207400 is an abundant number, because the sum of its proper divisors (356206299681720) is greater than itself. Its abundance is 218465779474320
Bases of 137740520207400
- Binary: 111110101000110001101101100011100110100001010002
- Hexadecimal: 0x7D4636C73428
- Base-36: 1CTP4DDK4O
Squares and roots of 137740520207400
- 137740520207400 squared (1377405202074002) is 18972450907005167739014760000
- 137740520207400 cubed (1377405202074003) is 2613275257540249765171989119146861224000000
-
The
square root of 137740520207400 is 11736290.7346145783 -
The
cube root of 137740520207400 is 51644.0832999209
Scales and comparisons
How big is 137740520207400?- 137,740,520,207,400 seconds is equal to 4,379,722 years, 25 weeks, 21 hours, 10 minutes.
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To count from 1 to 137,740,520,207,400 would take you about ten million, nine hundred forty-nine thousand, three hundred six 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 137740520207400 cubic inches would be around 4303.7 feet tall.
Recreational maths with 137740520207400
- 137740520207400 backwards is 004702025047731
- The number of decimal digits it has is: 15
- The sum of 137740520207400's digits is 42
- More coming soon!
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The information we have on file for 137740520207400 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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