13146122880
13,146,122,880 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13146122880 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
13146122880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13146122880:
27 × 33 × 5 × 11 × 23 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 23 × 31 × 97)See below for interesting mathematical facts about the number 13146122880 from the Numbermatics database.
Names of 13146122880
- Cardinal: 13146122880 can be written as Thirteen billion, one hundred forty-six million, one hundred twenty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.314612288 × 1010
Factors of 13146122880
Divisors of 13146122880
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 27 30 31 32 33 36 40 44 45 46 48 54 55 60 62 64 66 69 72 80 88 90 92 93 96 97 99 108 110 115 120 124 128 132 135 138 144 155 160 165 176 180 184 186 192 194 198 207 216 220 230 240 248 253 264 270 276 279 288 291 297 310 320 330 341 345 352 360 368 372 384 388 396 414 432 440 460 465 480 485 495 496 506 528 540 552 558 576 582 594 620 621 640 660 682 690 704 713 720 736 744 759 776 792 828 837 864 873 880 920 930 960 970 990 992 1012 1023 1035 1056 1067 1080 1104 1116 1152 1164 1188 1240 1242 1265 1320 1364 1380 1395 1408 1426 1440 1455 1472 1485 1488 1518 1552 1584 1656 1674 1705 1728 1746 1760 1840 1860 1920 1940 1980 1984 2024 2046 2070 2112 2134 2139 2160 2208 2231 2232 2277 2328 2376 2480 2484 2530 2619 2640 2728 2760 2790 2852 2880 2910 2944 2970 2976 3007 3036 3069 3104 3105 3168 3201 3312 3348 3410 3456 3492 3520 3565 3680 3720 3795 3880 3960 3968 4048 4092 4140 4185 4224 4268 4278 4320 4365 4416 4462 4464 4554 4656 4752 4960 4968 5060 5115 5238 5280 5335 5456 5520 5580 5704 5760 5820 5940 5952 6014 6072 6138 6208 6210 6336 6402 6417 6624 6693 6696 6820 6831 6984 7040 7130 7360 7440 7590 7760 7843 7920 8096 8184 8280 8370 8536 8556 8640 8730 8832 8924 8928 9021 9108 9207 9312 9504 9603 9920 9936 10120 10230 10476 10560 10670 10695 10912 11040 11155 11160 11385 11408 11640 11880 11904 12028 12144 12276 12416 12420 12672 12804 12834 13095 13248 13386 13392 13640 13662 13968 14260 14720 14880 15035 15180 15345 15520 15686 15840 16005 16192 16368 16560 16740 17072 17112 17280 17460 17848 17856 18042 18216 18414 18624 19008 19206 19251 19840 19872 20079 20240 20460 20952 21120 21340 21390 21824 22080 22310 22320 22770 22816 23280 23529 23760 24056 24288 24541 24552 24840 25608 25668 26190 26496 26772 26784 27063 27280 27324 27936 28520 28809 29760 30070 30360 30690 31040 31372 31680 32010 32085 32384 32736 33077 33120 33465 33480 34144 34155 34224 34920 35696 35712 36084 36432 36828 37248 38016 38412 38502 39215 39744 40158 40480 40920 41904 42680 42780 43648 44160 44620 44640 45105 45540 45632 46035 46560 47058 47520 48015 48112 48576 49082 49104 49680 51216 51336 52380 53544 53568 54126 54560 54648 55872 57040 57618 59520 60140 60237 60720 61380 62080 62744 63360 64020 64170 65472 66154 66240 66930 66960 68288 68310 68448 69161 69840 70587 71392 72168 72864 73623 73656 76824 77004 78430 79488 80316 80960 81189 81840 83808 85360 85560 89240 89280 90210 91080 91264 92070 93120 94116 95040 96030 96224 96255 97152 98164 98208 99231 99360 100395 102432 102672 104760 107088 107136 108252 109120 109296 111744 114080 115236 117645 120280 120474 121440 122705 122760 125488 128040 128340 130944 132308 132480 133860 133920 135315 136576 136620 136896 138322 139680 141174 142784 144045 144336 145728 147246 147312 153648 154008 156860 160632 161920 162378 163680 165385 167616 170720 171120 178480 178560 180420 182160 184140 186240 188232 190080 192060 192448 192510 196328 196416 198462 198720 200790 204864 205344 207483 209520 211761 214176 216504 218240 218592 220869 228160 230472 235290 240560 240948 242880 245410 245520 250976 256080 256680 264616 267720 267840 270630 273240 273792 276644 279360 282348 285568 288090 288672 291456 294492 294624 297693 301185 307296 308016 313720 321264 324756 327360 330770 335232 341440 342240 345805 352935 356960 360840 364320 368115 368280 376464 384120 384896 385020 392656 392832 396924 397440 401580 405945 409728 410688 414966 419040 423522 428352 433008 437184 441738 456320 460944 470580 481120 481896 485760 490820 491040 496155 501952 512160 513360 529232 535440 535680 541260 546480 553288 558720 564696 576180 577344 588984 589248 595386 602370 614592 616032 622449 627440 642528 649512 654720 661540 662607 682880 684480 691610 705870 713920 721680 728640 736230 736560 752928 760771 768240 770040 785312 793848 803160 811890 821376 829932 838080 847044 856704 866016 874368 883476 893079 921888 941160 962240 963792 981640 982080 992310 1003904 1024320 1026720 1037415 1058464 1058805 1070880 1082520 1092960 1104345 1106576 1129392 1152360 1154688 1177968 1178496 1190772 1204740 1229184 1232064 1244898 1254880 1285056 1299024 1323080 1325214 1368960 1383220 1411740 1427840 1443360 1457280 1472460 1473120 1488465 1505856 1521542 1536480 1540080 1570624 1587696 1606320 1623780 1659864 1676160 1694088 1732032 1766952 1786158 1843776 1867347 1882320 1924480 1927584 1963280 1964160 1984620 2048640 2053440 2074830 2116928 2117610 2141760 2165040 2185920 2208690 2213152 2258784 2282313 2304720 2355936 2381544 2409480 2464128 2489796 2509760 2570112 2598048 2646160 2650428 2766440 2823480 2886720 2944920 2946240 2976930 3011712 3043084 3072960 3080160 3112245 3141248 3175392 3212640 3247560 3313035 3319728 3388176 3464064 3533904 3572316 3687552 3734694 3764640 3803855 3855168 3926560 3969240 4106880 4149660 4233856 4235220 4283520 4330080 4371840 4417380 4426304 4465395 4517568 4564626 4609440 4711872 4763088 4818960 4979592 5019520 5196096 5292320 5300856 5532880 5646960 5773440 5889840 5892480 5953860 6086168 6145920 6160320 6224490 6350784 6425280 6495120 6626070 6639456 6776352 6846939 7067808 7144632 7469388 7529280 7607710 7710336 7853120 7938480 8299320 8470440 8660160 8834760 8852608 8930790 9035136 9129252 9218880 9336735 9423744 9526176 9637920 9959184 10392192 10584640 10601712 11065760 11293920 11411565 11779680 11907720 12172336 12320640 12448980 12701568 12850560 12990240 13252140 13278912 13552704 13693878 14135616 14289264 14938776 15058560 15215420 15706240 15876960 16598640 16940880 17320320 17669520 17861580 18258504 18437760 18673470 19052352 19275840 19918368 20540817 21169280 21203424 22131520 22587840 22823130 23559360 23815440 24344672 24897960 25980480 26504280 26557824 27105408 27387756 28271232 28578528 29877552 30430840 31753920 33197280 33881760 34234695 35339040 35723160 36517008 37346940 38104704 38551680 39836736 41081634 42406848 44263040 45175680 45646260 47118720 47630880 48689344 49795920 51960960 53008560 54775512 57157056 59755104 60861680 63507840 66394560 67763520 68469390 70678080 71446320 73034016 74693880 79673472 82163268 84813696 91292520 95261760 97378688 99591840 102704085 106017120 109551024 114314112 119510208 121723360 132789120 135527040 136938780 141356160 142892640 146068032 149387760 164326536 182585040 190523520 199183680 205408170 212034240 219102048 239020416 243446720 273877560 285785280 292136064 298775520 328653072 365170080 398367360 410816340 424068480 438204096 486893440 547755120 571570560 597551040 657306144 730340160 821632680 876408192 1095510240 1195102080 1314612288 1460680320 1643265360 2191020480 2629224576 3286530720 4382040960 6573061440 13146122880
- Sum of all divisors σ(n): 55273881600
- Sum of proper divisors (its aliquot sum) s(n): 42127758720
- 13146122880 is an abundant number, because the sum of its proper divisors (42127758720) is greater than itself. Its abundance is 28981635840
Bases of 13146122880
- Binary: 11000011111001000111101010100000002
- Hexadecimal: 0x30F91EA80
- Base-36: 61EV1C0
Squares and roots of 13146122880
- 13146122880 squared (131461228802) is 172820546776059494400
- 13146122880 cubed (131461228803) is 2271920144106865955573071872000
-
The
square root of 13146122880 is 114656.5431190037 -
The
cube root of 13146122880 is 2360.1117250565
Scales and comparisons
How big is 13146122880?- 13,146,122,880 seconds is equal to 418 years, 2 days, 4 hours, 48 minutes.
-
To count from 1 to 13,146,122,880 would take you about eight hundred thirty-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 13146122880 cubic inches would be around 196.7 feet tall.
Recreational maths with 13146122880
- 13146122880 backwards is 08822164131
- 13146122880 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13146122880's digits is 36
- 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 13146122880 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 13146122880 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13146122880/
Chicago style:
Numbermatics. 2024. "Number 13146122880 - Facts about the integer". https://numbermatics.com/n/13146122880/
The information we have on file for 13146122880 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 13146122880, math, Factors of 13146122880, curriculum, school, college, exams, university, Prime factorization of 13146122880, STEM, science, technology, engineering, physics, economics, calculator, thirteen billion, one hundred forty-six million, one hundred twenty-two thousand, eight hundred eighty.