137431687680
137,431,687,680 is an even composite number composed of seven prime numbers multiplied together.
137431687680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137431687680:
29 × 32 × 5 × 72 × 19 × 43 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 19 × 43 × 149)See below for interesting mathematical facts about the number 137431687680 from the Numbermatics database.
Names of 137431687680
- Cardinal: 137431687680 can be written as One hundred thirty-seven billion, four hundred thirty-one million, six hundred eighty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3743168768 × 1011
Factors of 137431687680
Divisors of 137431687680
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 43 45 48 49 56 57 60 63 64 70 72 76 80 84 86 90 95 96 98 105 112 114 120 126 128 129 133 140 144 147 149 152 160 168 171 172 180 190 192 196 210 215 224 228 240 245 252 256 258 266 280 285 288 294 298 301 304 315 320 336 342 344 360 380 384 387 392 399 420 430 441 447 448 456 480 490 504 512 516 532 560 570 576 588 596 602 608 630 640 645 665 672 684 688 720 735 745 760 768 774 784 798 817 840 855 860 882 894 896 903 912 931 960 980 1008 1032 1043 1064 1120 1140 1152 1176 1192 1197 1204 1216 1260 1280 1290 1330 1341 1344 1368 1376 1440 1470 1490 1505 1520 1536 1548 1568 1596 1634 1680 1710 1720 1764 1788 1792 1806 1824 1862 1920 1935 1960 1995 2016 2064 2086 2107 2128 2205 2235 2240 2280 2304 2352 2384 2394 2408 2432 2451 2520 2560 2580 2660 2682 2688 2709 2736 2752 2793 2831 2880 2940 2980 3010 3040 3096 3129 3136 3192 3268 3360 3420 3440 3528 3576 3584 3612 3648 3724 3840 3870 3920 3990 4032 4085 4128 4172 4214 4256 4410 4470 4480 4515 4560 4608 4655 4704 4768 4788 4816 4864 4902 5040 5160 5215 5320 5364 5376 5418 5472 5504 5586 5662 5719 5760 5880 5960 5985 6020 6080 6192 6258 6272 6321 6384 6407 6536 6705 6720 6840 6880 7056 7152 7224 7296 7301 7353 7448 7680 7740 7840 7980 8064 8170 8256 8344 8379 8428 8493 8512 8820 8940 8960 9030 9120 9310 9387 9408 9536 9576 9632 9728 9804 10080 10320 10430 10535 10640 10728 10752 10836 10944 11008 11172 11324 11438 11520 11760 11920 11970 12040 12160 12255 12384 12516 12544 12642 12768 12814 13072 13410 13440 13545 13680 13760 13965 14112 14155 14304 14448 14592 14602 14706 14896 15480 15645 15680 15960 16128 16340 16512 16688 16758 16856 16986 17024 17157 17640 17880 17920 18060 18240 18620 18774 18816 18963 19072 19152 19221 19264 19608 19817 20160 20640 20860 21070 21280 21456 21672 21888 21903 22016 22344 22648 22876 23040 23520 23840 23940 24080 24320 24510 24768 25032 25088 25284 25479 25536 25628 26144 26820 26880 27090 27360 27520 27930 28224 28310 28595 28608 28896 29184 29204 29412 29792 30960 31290 31360 31605 31920 32035 32256 32680 33024 33376 33516 33712 33972 34048 34314 35280 35760 36120 36480 36505 36765 37240 37548 37632 37926 38144 38304 38442 38528 39216 39634 40033 40320 41280 41720 41895 42140 42465 42560 42912 43344 43776 43806 44688 44849 45296 45752 46935 47040 47680 47880 48160 48640 49020 49536 50064 50568 50958 51072 51256 51471 52288 53640 53760 54180 54720 55040 55860 56448 56620 57190 57216 57663 57792 58408 58824 59451 59584 61920 62580 62720 63210 63840 64070 65360 65709 66048 66752 67032 67424 67944 68096 68628 70560 71520 72240 72960 73010 73530 74480 75096 75264 75852 76288 76608 76884 77056 78432 79268 80066 80640 82560 83440 83790 84280 84930 85120 85785 85824 86688 87552 87612 89376 89698 90592 91504 93870 94080 94815 95360 95760 96105 96320 98040 99072 99085 100128 101136 101916 102144 102512 102942 104576 107280 108360 109440 109515 110080 111720 112896 113240 114380 114432 115326 115584 116816 117648 118902 119168 120099 121733 123840 125160 125440 126420 127395 127680 128140 130720 131418 133504 134064 134547 134848 135888 137256 138719 141120 143040 144480 145920 146020 147060 148960 150192 151704 153216 153768 154112 156864 158536 160132 161280 165120 166880 167580 168560 169860 170240 171570 171648 173376 175224 178353 178752 179396 181184 183008 187740 188160 189630 190720 191520 192210 192640 196080 198144 198170 200165 200256 202272 203832 204288 205024 205884 209152 214560 216720 218880 219030 223440 224245 225792 226480 228760 228864 230652 231168 233632 235296 237804 238336 240198 243466 247680 250320 252840 254790 255360 256280 257355 261440 262836 267008 268128 269094 269696 271776 274512 277438 282240 286080 288315 288960 292040 294120 297255 297920 300384 303408 306432 307536 313728 313943 317072 320264 328545 330240 333760 335160 337120 339720 340480 343140 343296 346752 350448 356706 357504 358792 360297 362368 365199 366016 375480 376320 379260 381440 383040 384420 385280 392160 396340 400330 400512 403641 404544 407664 410048 411768 416157 418304 429120 433440 437760 438060 446880 448490 452960 457520 461304 462336 467264 470592 475608 476672 480396 486932 495360 500640 505680 509580 510720 512560 514710 522880 525672 534016 536256 538188 539392 543552 549024 554876 564480 572160 576630 577920 584080 588240 594510 595840 600495 600768 606816 608665 612864 615072 627456 627886 634144 640528 657090 667520 670320 672735 674240 679440 686280 686592 693504 693595 700896 713412 715008 717584 720594 724736 730398 732032 750960 758520 766080 768840 770560 784320 792680 800660 801024 807282 809088 815328 820096 823536 832314 852131 858240 866880 876120 891765 893760 896980 905920 915040 922608 934528 941184 941829 951216 960792 973864 990720 1001280 1011360 1019160 1021440 1025120 1029420 1045760 1051344 1072512 1076376 1078784 1087104 1095597 1098048 1109752 1128960 1144320 1153260 1155840 1168160 1176480 1189020 1191680 1200990 1201536 1213632 1217330 1230144 1248471 1254912 1255772 1268288 1281056 1314180 1335040 1340640 1345470 1348480 1358880 1372560 1387008 1387190 1401792 1426824 1430016 1435168 1441188 1449472 1460796 1464064 1501920 1517040 1532160 1537680 1568640 1569715 1585360 1601320 1602048 1614564 1618176 1630656 1640192 1647072 1664628 1704262 1716480 1733760 1752240 1783530 1787520 1793960 1801485 1811840 1825995 1830080 1845216 1869056 1882368 1883658 1902432 1921584 1947728 2002560 2018205 2022720 2038320 2050240 2058840 2080785 2091520 2102688 2145024 2152752 2174208 2191194 2196096 2219504 2306520 2311680 2336320 2352960 2378040 2383360 2401980 2403072 2427264 2434660 2460288 2496942 2511544 2536576 2556393 2562112 2628360 2670080 2681280 2690940 2696960 2717760 2745120 2774380 2803584 2825487 2853648 2870336 2882376 2921592 2928128 3003840 3034080 3064320 3075360 3137280 3139430 3170720 3202640 3229128 3236352 3261312 3280384 3294144 3329256 3408524 3432960 3467520 3504480 3567060 3575040 3587920 3602970 3623680 3651990 3660160 3690432 3738112 3764736 3767316 3804864 3843168 3895456 4005120 4036410 4045440 4076640 4100480 4117680 4161570 4205376 4260655 4290048 4305504 4348416 4382388 4392192 4439008 4613040 4672640 4705920 4709145 4756080 4803960 4806144 4854528 4869320 4920576 4993884 5023088 5073152 5112786 5124224 5256720 5362560 5381880 5393920 5435520 5477985 5490240 5548760 5607168 5650974 5707296 5740672 5764752 5843184 5964917 6007680 6068160 6150720 6242355 6274560 6278860 6341440 6405280 6458256 6522624 6588288 6658512 6817048 6935040 7008960 7134120 7150080 7175840 7205940 7247360 7303980 7320320 7380864 7534632 7609728 7669179 7686336 7790912 8010240 8072820 8090880 8153280 8200960 8235360 8323140 8410752 8521310 8611008 8764776 8784384 8878016 9226080 9345280 9411840 9418290 9512160 9607920 9709056 9738640 9841152 9987768 10046176 10146304 10225572 10248448 10513440 10725120 10763760 10871040 10955970 10980480 11097520 11214336 11301948 11414592 11481344 11529504 11686368 11929834 12015360 12136320 12301440 12484710 12557720 12682880 12781965 12810560 12916512 13045248 13176576 13317024 13634096 14017920 14127435 14268240 14351680 14411880 14607960 14640640 14761728 15069264 15219456 15338358 15372672 15581824 16145640 16181760 16306560 16401920 16470720 16646280 16821504 17042620 17222016 17529552 17756032 17894751 18452160 18690560 18823680 18836580 19024320 19215840 19477280 19975536 20092352 20451144 20496896 21026880 21450240 21527520 21742080 21911940 21960960 22195040 22603896 22829184 22962688 23059008 23372736 23859668 24030720 24272640 24602880 24969420 25115440 25365760 25563930 25621120 25833024 26353152 26634048 27268192 28035840 28254870 28536480 28703360 28823760 29215920 29523456 29824585 30138528 30438912 30676716 30745344 31163648 32291280 32613120 32941440 33292560 33643008 34085240 34444032 35059104 35512064 35789502 36904320 37673160 38048640 38345895 38431680 38954560 39951072 40184704 40902288 42053760 43055040 43823880 43921920 44390080 45207792 45658368 46118016 46745472 47719336 48545280 49205760 49938840 50230880 50731520 51127860 51242240 51666048 53268096 53684253 54536384 56071680 56509740 57072960 57406720 57647520 58431840 59649170 60277056 61353432 61490688 62327296 64582560 65226240 65882880 66585120 68170480 68888064 70118208 71024128 71579004 73808640 75346320 76097280 76691790 76863360 77909120 79902144 80369408 81804576 84107520 86110080 87647760 88780160 89473755 90415584 91316736 92236032 93490944 95438672 99877680 100461760 102255720 102484480 103332096 106536192 107368506 109072768 113019480 114145920 114813440 115295040 116863680 119298340 120554112 122706864 129165120 131765760 133170240 136340960 140236416 143158008 147617280 150692640 152194560 153383580 153726720 155818240 159804288 160738816 163609152 168215040 172220160 175295520 177560320 178947510 180831168 184472064 186981888 190877344 199755360 200923520 204511440 206664192 213072384 214737012 218145536 226038960 228291840 230590080 233727360 238596680 241108224 245413728 258330240 266340480 268421265 272681920 280472832 286316016 301385280 306767160 307453440 311636480 319608576 327218304 344440320 350591040 355120640 357895020 361662336 381754688 399510720 401847040 409022880 429474024 436291072 452077920 456583680 461180160 467454720 477193360 482216448 490827456 516660480 532680960 536842530 545363840 560945664 572632032 602770560 613534320 639217152 654436608 701182080 715790040 723324672 763509376 799021440 803694080 818045760 858948048 904155840 922360320 934909440 954386720 981654912 1033320960 1065361920 1073685060 1090727680 1145264064 1205541120 1227068640 1308873216 1402364160 1431580080 1446649344 1527018752 1598042880 1636091520 1717896096 1808311680 1908773440 1963309824 2147370120 2181455360 2290528128 2411082240 2454137280 2804728320 2863160160 3054037504 3196085760 3272183040 3435792192 3616623360 3817546880 3926619648 4294740240 4581056256 4908274560 5726320320 6544366080 6871584384 7233246720 7635093760 8589480480 9162112512 9816549120 11452640640 13743168768 15270187520 17178960960 19633098240 22905281280 27486337536 34357921920 45810562560 68715843840 137431687680
- Sum of all divisors σ(n): 600370056000
- Sum of proper divisors (its aliquot sum) s(n): 462938368320
- 137431687680 is an abundant number, because the sum of its proper divisors (462938368320) is greater than itself. Its abundance is 325506680640
Bases of 137431687680
- Binary: 11111111111111001000100100010000000002
- Hexadecimal: 0x1FFF912200
- Base-36: 1R4VA0W0
Squares and roots of 137431687680
- 137431687680 squared (1374316876802) is 18887468778573063782400
- 137431687680 cubed (1374316876803) is 2595736710242604377803516280832000
-
The
square root of 137431687680 is 370717.8005977053 -
The
cube root of 137431687680 is 5160.5456787257
Scales and comparisons
How big is 137431687680?- 137,431,687,680 seconds is equal to 4,369 years, 46 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 137,431,687,680 would take you about eight thousand, seven hundred thirty-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 137431687680 cubic inches would be around 430 feet tall.
Recreational maths with 137431687680
- 137431687680 backwards is 086786134731
- The number of decimal digits it has is: 12
- The sum of 137431687680's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137431687680 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 137431687680 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/137431687680/
Chicago style:
Numbermatics. 2024. "Number 137431687680 - Facts about the integer". https://numbermatics.com/n/137431687680/
The information we have on file for 137431687680 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!
Keywords: Divisors of 137431687680, math, Factors of 137431687680, curriculum, school, college, exams, university, Prime factorization of 137431687680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, four hundred thirty-one million, six hundred eighty-seven thousand, six hundred eighty.