137057365797099840
137,057,365,797,099,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 137057365797099840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2520 divisors.
137057365797099840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 137057365797099840:
26 × 34 × 5 × 292 × 832 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 29 × 83 × 83 × 97 × 97 × 97)See below for interesting mathematical facts about the number 137057365797099840 from the Numbermatics database.
Names of 137057365797099840
- Cardinal: 137057365797099840 can be written as One hundred thirty-seven quadrillion, fifty-seven trillion, three hundred sixty-five billion, seven hundred ninety-seven million, ninety-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3705736579709984 × 1017
Factors of 137057365797099840
Divisors of 137057365797099840
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 64 72 80 81 83 87 90 96 97 108 116 120 135 144 145 160 162 166 174 180 192 194 216 232 240 249 261 270 288 290 291 320 324 332 348 360 388 405 415 432 435 464 480 485 498 522 540 576 580 582 648 664 696 720 747 776 783 810 830 841 864 870 873 928 960 970 996 1044 1080 1160 1164 1245 1296 1305 1328 1392 1440 1455 1494 1552 1566 1620 1660 1682 1728 1740 1746 1856 1940 1992 2088 2160 2241 2320 2328 2349 2407 2490 2523 2592 2610 2619 2656 2784 2813 2880 2910 2988 3104 3132 3240 3320 3364 3480 3492 3735 3880 3915 3984 4176 4205 4320 4365 4482 4640 4656 4698 4814 4980 5046 5184 5220 5238 5312 5568 5626 5820 5976 6208 6264 6480 6640 6723 6728 6889 6960 6984 7221 7470 7569 7760 7830 7857 7968 8051 8352 8410 8439 8640 8730 8964 9280 9312 9396 9409 9628 9960 10092 10440 10476 11205 11252 11640 11745 11952 12035 12528 12615 12960 13095 13280 13446 13456 13778 13920 13968 14065 14442 14940 15138 15520 15660 15714 15936 16102 16704 16820 16878 17460 17928 18624 18792 18818 19256 19920 20184 20667 20880 20952 21663 22410 22504 22707 23280 23490 23904 24070 24153 25056 25230 25317 25920 26190 26560 26892 26912 27556 27840 27936 28130 28227 28884 29880 30276 31040 31320 31428 32204 33615 33640 33756 34445 34920 35856 36105 37584 37636 37845 38512 39285 39840 40255 40368 41334 41760 41904 42195 43326 44820 45008 45414 46560 46980 47045 47808 48140 48306 50112 50460 50634 52380 53784 53824 55112 55872 56260 56454 57768 59760 60552 62001 62640 62856 64408 64989 67230 67280 67512 68121 68890 69803 69840 71712 72210 72459 75168 75272 75690 75951 77024 78570 79680 80510 80736 81577 82668 83520 83808 84390 84681 86652 89640 90016 90828 93120 93960 94090 96280 96612 100920 101268 103335 104760 107568 108315 110224 112520 112908 113535 115536 119520 120765 121104 124002 125280 125712 126585 128816 129978 134460 134560 135024 136242 137780 139606 139680 141135 143424 144420 144918 150336 150544 151380 151902 154048 157140 161020 161472 163154 165336 167616 168780 169362 173304 179280 180032 181656 186003 187920 188180 192560 193224 194967 199781 201840 202536 206670 209409 209520 215136 216630 217377 220448 225040 225816 227070 227853 231072 233479 239040 241530 242208 244731 248004 250560 251424 253170 254043 257632 259956 268920 269120 270048 272484 272861 275560 279212 279360 282270 288840 289836 301088 302760 303804 310005 314280 322040 324945 326308 330672 337560 338724 340605 346608 349015 358560 362295 363312 372006 375840 376360 379755 385120 386448 389934 399562 403680 405072 407885 413340 418818 419040 423405 430272 433260 434754 440896 450080 451632 454140 455706 462144 466958 483060 484416 489462 496008 502848 506340 508086 515264 519912 537840 540096 544968 545722 551120 558009 558424 564540 577680 579672 599343 602176 605520 607608 620010 628227 628560 644080 649890 652131 652616 661344 668233 675120 677448 681210 693216 698030 700437 717120 724590 726624 734193 744012 751680 752720 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2913324812352 2917355593808 2943671945814 3017954062560 3045177874980 3057951044112 3163397631840 3248189733312 3270746606460 3282025043034 3315850529760 3395198320380 3404728997568 3440194924626 3488796380224 3558822335820 3621544875072 3641656015440 3646694492260 3796077158208 3822438805140 3924895927752 3979020635712 4060237166640 4074237984456 4077268058816 4255911246960 4360995475280 4376033390712 4415507918721 4526931093840 4586926566168 4745096447760 4855541353920 4872284599968 4906119909690 4923037564551 4973775794640 5092797480570 5096585073520 5160292386939 5233194570336 5287707013777 5413649555520 5432317312608 5470041738390 5674548329280 5694115737312 5733658207710 5834711187616 5887343891628 6035908125120 6090355749960 6115902088224 6326795263680 6541493212920 6564050086068 6631701059520 6790396640760 6880389849252 7117644671640 7283312030880 7293388984520 7359179864535 7644877610280 7849791855504 8120474333280 8148475968912 8205062607585 8511822493920 8600487311565 8721990950560 8752066781424 8831015837442 9053862187680 9173853132336 9490192895520 9744569199936 9812239819380 9846075129102 9947551589280 10185594961140 10193170147040 10320584773878 10466389140672 10575414027554 10864634625216 10940083476780 11388231474624 11467316415420 11669422375232 11774687783256 12180711499920 12231804176448 13082986425840 13128100172136 13580793281520 13760779698504 14235289343280 14566624061760 14586777969040 14718359729070 14769112693653 15289755220560 15699583711008 15863121041331 16240948666560 16296951937824 16410125215170 17023644987840 17200974623130 17443981901120 17504133562848 17662031674884 18107724375360 18347706264672 18980385791040 19624479638760 19692150258204 19895103178560 20371189922280 20386340294080 20641169547756 21150828055108 21880166953560 22077539593605 22934632830840 23549375566512 24361422999840 24615187822755 25801461934695 26165972851680 26256200344272 26438535068885 27161586563040 27521559397008 28470578686560 29173555938080 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158631210413310 162969519378240 165129356382048 169206624440864 175041335628480 176620316748840 183477062646720 190357452495972 196921502582040 206411695477560 211508280551080 235493755665120 236305803098448 237946815619965 253809936661296 262562003442720 275215593970080 282592506798144 285536178743958 295382253873060 315074404131264 317262420826620 330258712764096 338413248881728 353240633497680 380714904991944 393843005164080 412823390955120 423016561102160 428304268115937 470987511330240 472611606196896 475893631239930 507619873322592 525124006885440 550431187940160 571072357487916 590764507746120 634524841653240 706481266995360 713840446859895 761429809983888 787686010328160 825646781910240 846033122204320 856608536231874 945223212393792 951787262479860 1015239746645184 1142144714975832 1181529015492240 1269049683306480 1412962533990720 1427680893719790 1522859619967776 1575372020656320 1651293563820480 1692066244408640 1713217072463748 1903574524959720 2141521340579685 2284289429951664 2363058030984480 2538099366612960 2855361787439580 3045719239935552 3426434144927496 3807149049919440 4283042681159370 4568578859903328 4726116061968960 5076198733225920 5710723574879160 6852868289854992 7614298099838880 8566085362318740 9137157719806656 11421447149758320 13705736579709984 15228596199677760 17132170724637480 22842894299516640 27411473159419968 34264341449274960 45685788599033280 68528682898549920 137057365797099840
- Sum of all divisors σ(n): 516409069470173880
- Sum of proper divisors (its aliquot sum) s(n): 379351703673074040
- 137057365797099840 is an abundant number, because the sum of its proper divisors (379351703673074040) is greater than itself. Its abundance is 242294337875974200
Bases of 137057365797099840
- Binary: 1111001101110110011110010101100100010111111011001010000002
- Hexadecimal: 0x1E6ECF2B22FD940
- Base-36: 11HIS4MN9W00
Squares and roots of 137057365797099840
- 137057365797099840 squared (1370573657970998402) is 18784721519240033060011354928025600
- 137057365797099840 cubed (1370573657970998403) is 2574584448659134251148830450244714799856417275904000
-
The
square root of 137057365797099840 is 370212595.4058017189 -
The
cube root of 137057365797099840 is 515585.6169200689
Scales and comparisons
How big is 137057365797099840?- 137,057,365,797,099,840 seconds is equal to 4,358,000,286 years, 4 weeks, 1 day, 2 hours, 24 minutes.
-
To count from 1 to 137,057,365,797,099,840 would take you about thirteen billion, seventy-four million, eight hundred fifty-eight 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 137057365797099840 cubic inches would be around 42965.5 feet tall.
Recreational maths with 137057365797099840
- 137057365797099840 backwards is 048990797563750731
- 137057365797099840 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137057365797099840's digits is 90
- More coming soon!
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"Number 137057365797099840 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 137057365797099840 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/137057365797099840/
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The information we have on file for 137057365797099840 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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