131007300480
131,007,300,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131007300480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1280 divisors.
131007300480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 131007300480:
27 × 34 × 5 × 7 × 29 × 59 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 29 × 59 × 211)See below for interesting mathematical facts about the number 131007300480 from the Numbermatics database.
Names of 131007300480
- Cardinal: 131007300480 can be written as One hundred thirty-one billion, seven million, three hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3100730048 × 1011
Factors of 131007300480
Divisors of 131007300480
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 54 56 58 59 60 63 64 70 72 80 81 84 87 90 96 105 108 112 116 118 120 126 128 135 140 144 145 160 162 168 174 177 180 189 192 203 210 211 216 224 232 236 240 252 261 270 280 288 290 295 315 320 324 336 348 354 360 378 384 405 406 413 420 422 432 435 448 464 472 480 504 522 531 540 560 567 576 580 590 609 630 633 640 648 672 696 708 720 756 783 810 812 826 840 844 864 870 885 896 928 944 945 960 1008 1015 1044 1055 1062 1080 1120 1134 1152 1160 1180 1218 1239 1260 1266 1296 1305 1344 1392 1416 1440 1477 1512 1566 1593 1620 1624 1652 1680 1688 1711 1728 1740 1770 1827 1856 1888 1890 1899 1920 2016 2030 2065 2088 2110 2124 2160 2240 2268 2320 2349 2360 2436 2478 2520 2532 2592 2610 2655 2688 2784 2832 2835 2880 2954 3024 3045 3132 3165 3186 3240 3248 3304 3360 3376 3422 3456 3480 3540 3654 3712 3717 3776 3780 3798 3915 4032 4060 4130 4176 4220 4248 4320 4431 4480 4536 4640 4698 4720 4779 4872 4956 5040 5064 5133 5184 5220 5310 5481 5568 5664 5670 5697 5760 5908 6048 6090 6119 6195 6264 6330 6372 6480 6496 6608 6720 6752 6844 6960 7080 7308 7385 7434 7552 7560 7596 7830 7965 8064 8120 8260 8352 8440 8496 8555 8640 8862 9072 9135 9280 9396 9440 9495 9558 9744 9912 10080 10128 10266 10368 10440 10620 10962 11136 11151 11328 11340 11394 11745 11816 11977 12096 12180 12238 12390 12449 12528 12660 12744 12960 12992 13216 13293 13440 13504 13688 13920 14160 14616 14770 14868 15120 15192 15399 15660 15930 16240 16443 16520 16704 16880 16992 17091 17110 17280 17724 18144 18270 18357 18560 18585 18792 18880 18990 19116 19488 19824 20160 20256 20532 20880 21240 21924 22155 22302 22656 22680 22788 23490 23632 23895 23954 24192 24360 24476 24780 24898 25056 25320 25488 25665 25920 25984 26432 26586 27008 27376 27405 27840 28320 28485 29232 29540 29736 30240 30384 30595 30798 31320 31860 32480 32886 33040 33408 33453 33760 33984 34182 34220 35448 35931 36288 36540 36714 37170 37347 37584 37760 37980 38232 38976 39648 39879 40320 40512 41064 41760 42480 42833 43848 44310 44604 45360 45576 46197 46980 47264 47790 47908 48720 48952 49560 49796 50112 50640 50976 51330 51840 52864 53172 54752 54810 55071 55680 55755 56640 56970 58464 59080 59472 59885 60480 60768 61190 61596 62245 62640 63720 64960 65772 66080 66465 66906 67520 67968 68364 68440 70896 71862 72576 73080 73428 74340 74694 75168 75960 76464 76995 77952 79296 79758 81024 82128 82215 83520 84960 85455 85666 87143 87696 88620 89208 90720 91152 91785 92394 93960 94528 95580 95816 97440 97904 99120 99592 100224 101280 101952 102660 106344 107793 109504 109620 110142 111510 112041 113280 113940 116928 118160 118944 119637 119770 120960 121536 122380 123192 124490 125280 127440 128499 129920 131544 132160 132930 133812 135040 136728 136880 138591 141792 143724 146160 146856 148680 149388 150336 151920 152928 153990 158592 159516 164256 164430 165213 167040 167265 169920 170910 171332 174286 175392 177240 178416 179655 181440 182304 183570 184788 186735 187920 189056 191160 191632 194880 195808 198240 199184 199395 202560 203904 205320 212688 214165 215586 219008 219240 220284 223020 224082 227880 230985 233856 236320 237888 239274 239540 243072 244760 246384 248980 250560 254880 256998 261429 263088 264320 265860 267624 273456 273760 275355 277182 283584 287448 292320 293712 297360 298776 300672 303840 305856 307980 319032 323379 328512 328860 330426 334530 336123 339840 341820 342664 348572 350784 354480 356832 359310 361021 362880 364608 367140 369576 373470 375840 382320 383264 385497 389760 391616 396480 398368 398790 405120 410640 425376 428330 431172 435715 438480 440568 446040 448164 455760 461970 472640 475776 478548 479080 489520 492768 495639 497960 501120 509760 513996 522858 526176 531720 535248 538965 546912 547520 550710 554364 560205 567168 574896 584640 587424 594720 597552 598185 607680 611712 615960 638064 642495 646758 657024 657720 660852 669060 672246 683640 685328 692955 697144 701568 708960 713664 718620 722042 729216 734280 739152 746940 751680 764640 766528 770994 783232 784287 792960 796736 797580 821280 826065 850752 856660 862344 871430 876960 881136 892080 896328 911520 923940 945280 957096 958160 970137 979040 985536 991278 995920 1008369 1019520 1027992 1045716 1052352 1063440 1070496 1077930 1083063 1093824 1095040 1101420 1108728 1120410 1149792 1156491 1169280 1174848 1189440 1195104 1196370 1215360 1231920 1276128 1284990 1293516 1307145 1315440 1321704 1338120 1344492 1367280 1370656 1385910 1394288 1417920 1427328 1437240 1444084 1468560 1478304 1493880 1503360 1529280 1533056 1541988 1568574 1593472 1595160 1616895 1642560 1652130 1680615 1701504 1713320 1724688 1742860 1753920 1762272 1784160 1792656 1805105 1823040 1847880 1914192 1916320 1927485 1940274 1958080 1971072 1982556 1991840 2016738 2055984 2091432 2104704 2126880 2140992 2155860 2166126 2187648 2202840 2217456 2240820 2299584 2312982 2349696 2352861 2378880 2390208 2392740 2463840 2478195 2527147 2552256 2569980 2587032 2614290 2630880 2643408 2676240 2688984 2734560 2741312 2771820 2788576 2835840 2874480 2888168 2937120 2956608 2987760 3058560 3083976 3137148 3190320 3233790 3249189 3285120 3304260 3361230 3426640 3449376 3469473 3485720 3507840 3524544 3568320 3585312 3610210 3646080 3695760 3828384 3832640 3854970 3880548 3916160 3921435 3965112 3983680 4033476 4111968 4182864 4253760 4281984 4311720 4332252 4405680 4434912 4481640 4599168 4625964 4705722 4780416 4785480 4850685 4927680 4956390 5041845 5054294 5104512 5139960 5174064 5228580 5261760 5286816 5352480 5377968 5415315 5469120 5482624 5543640 5577152 5748960 5776336 5782455 5874240 5913216 5975520 6167952 6274296 6380640 6467580 6498378 6608520 6722460 6853280 6898752 6938946 6971440 7049088 7058583 7136640 7170624 7220420 7391520 7581441 7656768 7665280 7709940 7761096 7842870 7930224 7967360 8066952 8223936 8365728 8507520 8623440 8664504 8811360 8869824 8963280 9251928 9411444 9570960 9701370 9747567 9855360 9912780 10083690 10108588 10279920 10348128 10457160 10523520 10573632 10704960 10755936 10830630 10938240 11087280 11154304 11497920 11552672 11564910 11748480 11764305 11951040 12335904 12548592 12635735 12761280 12935160 12996756 13217040 13444920 13706560 13797504 13877892 13942880 14117166 14341248 14440840 14783040 15162882 15313536 15419880 15522192 15685740 15860448 16133904 16245945 16447872 16731456 17246880 17329008 17347365 17622720 17739648 17926560 18503856 18822888 19141920 19402740 19495134 19825560 20167380 20217176 20559840 20696256 20914320 21147264 21409920 21511872 21661260 22174560 22744323 22995840 23105344 23129820 23528610 23902080 24671808 25097184 25271470 25522560 25870320 25993512 26434080 26889840 27413120 27755784 27885760 28234332 28881680 29242701 29566080 30325764 30839760 31044384 31371480 31720896 32267808 32491890 33462912 34493760 34658016 34694730 35245440 35292915 35853120 37007712 37645776 37907205 38283840 38805480 38990268 39651120 40334760 40434352 41119680 41392512 41828640 43023744 43322520 44349120 45488646 46210688 46259640 47057220 48737835 49343616 50194368 50542940 51740640 51987024 52868160 53779680 55511568 55771520 56468664 57763360 58485402 60651528 61679520 62088768 62742960 63441792 64535616 64983780 68232969 68987520 69316032 69389460 70585830 71706240 74015424 75291552 75814410 76567680 77610960 77980536 79302240 80669520 80868704 82239360 83657280 86645040 88698240 90977292 92519280 94114440 97475670 100388736 101085880 103481280 103974048 105736320 107559360 111023136 112937328 113721615 115526720 116970804 121303056 123359040 124177536 125485920 129071232 129967560 136465938 138632064 138778920 141171660 146213505 148030848 150583104 151628820 155221920 155961072 158604480 161339040 161737408 167314560 173290080 181954584 185038560 188228880 194951340 202171760 204698907 206962560 207948096 215118720 222046272 225874656 227443230 231053440 233941608 242606112 246718080 250971840 259935120 272931876 277557840 282343320 292427010 301166208 303257640 310443840 311922144 317208960 322678080 323474816 341164845 346580160 363909168 370077120 376457760 389902680 404343520 409397814 415896192 444092544 451749312 454886460 467883216 485212224 501943680 519870240 545863752 555115680 564686640 584854020 606515280 620887680 623844288 645356160 682329690 693160320 727818336 740154240 752915520 779805360 808687040 818795628 903498624 909772920 935766432 970424448 1023494535 1039740480 1091727504 1110231360 1129373280 1169708040 1213030560 1247688576 1364659380 1455636672 1505831040 1559610720 1617374080 1637591256 1819545840 1871532864 2046989070 2079480960 2183455008 2220462720 2258746560 2339416080 2426061120 2729318760 2911273344 3119221440 3275182512 3639091680 3743065728 4093978140 4366910016 4517493120 4678832160 4852122240 5458637520 6238442880 6550365024 7278183360 8187956280 8733820032 9357664320 10917275040 13100730048 14556366720 16375912560 18715328640 21834550080 26201460096 32751825120 43669100160 65503650240 131007300480
- Sum of all divisors σ(n): 565164864000
- Sum of proper divisors (its aliquot sum) s(n): 434157563520
- 131007300480 is an abundant number, because the sum of its proper divisors (434157563520) is greater than itself. Its abundance is 303150263040
Bases of 131007300480
- Binary: 11110100000001010010011000011100000002
- Hexadecimal: 0x1E80A4C380
- Base-36: 1O6MD400
Squares and roots of 131007300480
- 131007300480 squared (1310073004802) is 17162912779057008230400
- 131007300480 cubed (1310073004803) is 2248466871557953328289845870592000
-
The
square root of 131007300480 is 361949.3065057591 -
The
cube root of 131007300480 is 5078.8474207445
Scales and comparisons
How big is 131007300480?- 131,007,300,480 seconds is equal to 4,165 years, 32 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 131,007,300,480 would take you about eight thousand, three hundred thirty-one 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 131007300480 cubic inches would be around 423.2 feet tall.
Recreational maths with 131007300480
- 131007300480 backwards is 084003700131
- 131007300480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131007300480's digits is 27
- 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 131007300480 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 131007300480 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/131007300480/
Chicago style:
Numbermatics. 2024. "Number 131007300480 - Facts about the integer". https://numbermatics.com/n/131007300480/
The information we have on file for 131007300480 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 131007300480, math, Factors of 131007300480, curriculum, school, college, exams, university, Prime factorization of 131007300480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one billion, seven million, three hundred thousand, four hundred eighty.