13007128442880
13,007,128,442,880 is an even composite number composed of eight prime numbers multiplied together.
13007128442880 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13007128442880:
211 × 3 × 5 × 112 × 13 × 19 × 31 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 19 × 31 × 457)See below for interesting mathematical facts about the number 13007128442880 from the Numbermatics database.
Names of 13007128442880
- Cardinal: 13007128442880 can be written as Thirteen trillion, seven billion, one hundred twenty-eight million, four hundred forty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.300712844288 × 1013
Factors of 13007128442880
Divisors of 13007128442880
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 31 32 33 38 39 40 44 48 52 55 57 60 62 64 65 66 76 78 80 88 93 95 96 104 110 114 120 121 124 128 130 132 143 152 155 156 160 165 176 186 190 192 195 208 209 220 228 240 242 247 248 256 260 264 285 286 304 310 312 320 330 341 352 363 372 380 384 390 403 416 418 429 440 456 457 465 480 484 494 496 512 520 528 570 572 589 605 608 620 624 627 640 660 682 704 715 726 741 744 760 768 780 806 832 836 858 880 912 914 930 960 968 988 992 1023 1024 1040 1045 1056 1140 1144 1178 1209 1210 1216 1235 1240 1248 1254 1280 1320 1364 1371 1408 1430 1452 1482 1488 1520 1536 1560 1573 1612 1664 1672 1705 1716 1760 1767 1815 1824 1828 1860 1920 1936 1976 1984 2015 2046 2048 2080 2090 2112 2145 2280 2285 2288 2299 2356 2418 2420 2432 2470 2480 2496 2508 2560 2640 2717 2728 2742 2816 2860 2904 2945 2964 2976 3040 3072 3120 3135 3146 3224 3328 3344 3410 3432 3520 3534 3630 3648 3656 3705 3720 3751 3840 3872 3952 3968 4030 4092 4160 4180 4224 4290 4433 4560 4570 4576 4598 4712 4719 4836 4840 4864 4940 4960 4992 5016 5027 5115 5120 5280 5434 5456 5484 5632 5720 5808 5890 5928 5941 5952 6045 6080 6144 6240 6270 6292 6448 6479 6656 6688 6820 6855 6864 6897 7040 7068 7260 7296 7312 7410 7440 7502 7657 7680 7744 7865 7904 7936 8060 8151 8184 8320 8360 8448 8580 8683 8835 8866 9120 9140 9152 9196 9424 9438 9672 9680 9728 9880 9920 9984 10032 10054 10230 10240 10560 10868 10912 10968 11253 11264 11440 11495 11616 11780 11856 11882 11904 12090 12160 12480 12540 12584 12896 12958 13299 13312 13376 13585 13640 13710 13728 13794 14080 14136 14167 14520 14592 14624 14820 14880 15004 15081 15314 15360 15488 15730 15808 15872 16120 16302 16368 16640 16720 16896 17160 17366 17670 17732 17823 18240 18280 18304 18392 18755 18848 18876 19344 19360 19437 19456 19760 19840 19968 20064 20108 20460 21120 21736 21824 21936 22165 22506 22528 22880 22971 22990 23232 23560 23595 23712 23764 23808 24180 24320 24960 25080 25135 25168 25792 25916 26049 26598 26624 26752 27170 27280 27420 27456 27588 28160 28272 28334 29040 29184 29248 29640 29705 29760 29887 30008 30162 30628 30720 30976 31460 31616 31744 32240 32395 32604 32736 33280 33440 33792 34320 34485 34732 35340 35464 35646 36480 36560 36608 36784 37510 37696 37752 38285 38688 38720 38874 38912 39520 39680 39936 40128 40216 40755 40920 42240 42501 43415 43472 43648 43872 44330 45012 45760 45942 45980 46464 47120 47190 47424 47528 47616 48360 48640 48763 49920 50160 50270 50336 51584 51832 52098 53196 53504 54340 54560 54840 54912 55176 55297 56265 56320 56544 56668 58080 58368 58496 59280 59410 59520 59774 60016 60324 61256 61952 62920 63232 63488 64480 64790 65208 65351 65472 66495 66560 66880 67584 68640 68970 69464 70680 70835 70928 71269 71292 72960 73120 73216 73568 75020 75392 75405 75504 76570 77376 77440 77748 79040 79360 79872 80256 80432 81510 81840 84227 84480 85002 86830 86944 87296 87744 88660 89115 89661 90024 91520 91884 91960 92928 94240 94380 94848 95056 95232 95513 96720 97185 97280 97526 99840 100320 100540 100672 103168 103664 104196 106392 107008 108680 109120 109680 109824 110352 110594 112530 112640 112879 113088 113336 114855 116160 116736 116992 118560 118820 119040 119548 120032 120648 122512 123904 125840 126464 128960 129580 130245 130416 130702 130944 132990 133120 133760 137280 137940 138928 141360 141670 141856 142538 142584 145920 146240 146289 146432 147136 149435 150040 150784 150810 151008 153140 154752 154880 155496 155837 158080 158720 160512 160864 163020 163680 165891 168454 168960 170004 173660 173888 174592 175488 177320 178230 179322 180048 183040 183768 183920 184171 185856 188480 188760 189696 190112 190464 191026 193440 194370 194560 195052 196053 199680 200640 201080 201344 206336 207328 208392 212505 212784 213807 214016 217360 218240 219360 219648 220704 221188 225060 225758 226176 226672 229710 232320 233984 237120 237640 238080 239096 240064 241296 243815 245024 247808 251680 252681 252928 257920 259160 260490 260832 261404 261888 265980 267520 269173 274560 275880 276485 277856 282720 283340 283712 285076 285168 286539 291840 292480 292578 292864 294272 298870 300080 301568 301620 302016 306280 309504 309760 310992 311674 316160 317440 321024 321728 326040 326755 327360 331782 336908 337920 338637 340008 347320 347776 349184 350976 354640 356345 356460 358644 360096 366080 367536 367840 368342 371712 376960 377520 379392 380224 382052 386880 388740 390104 392106 399360 401280 402160 402688 412672 414656 416784 421135 425010 425568 427614 428032 434720 436480 438720 439296 441408 442376 448305 450120 451516 452352 453344 459420 464640 467511 467968 474240 475280 476160 477565 478192 480128 482592 487630 490048 503360 505362 505856 515840 518320 520980 521664 522808 523776 531960 535040 538346 549120 551760 552513 552970 555712 564395 565440 566680 567424 570152 570336 573078 583680 584960 585156 588544 597740 600160 603136 603240 604032 612560 619008 619520 621984 623348 632320 642048 643456 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54633436 54734592 54854624 55589820 55987984 56624128 57383040 57508880 57615360 57794048 58805760 58934720 59218060 59295808 59600112 59841408 60776430 60835840 61128320 61208576 62416640 62736960 63038580 64601520 64686336 64828192 65139866 66344960 66685440 66854073 66919424 67241152 68090880 68291795 68418240 68568280 68908288 69010656 69984980 70625280 70721664 70780160 71061672 72242560 72535040 72979456 73353984 74119760 74500140 74801760 74899968 76510720 76983478 77214720 78407680 79466816 79788544 80857920 81035240 81950154 82281936 83466240 83649280 83981976 84051440 84936192 86135360 86248448 86263320 86691072 87042048 88402080 88827090 88913920 88943712 89138764 91224320 91253760 91692480 91812864 92014208 93624960 94295552 94748896 97242288 97709799 97805312 99333520 99517440 99735680 99866624 100379136 100861728 102852420 103362432 104977470 106170240 107810560 108363840 108802560 109266872 109469184 109709248 111179640 111423455 111975968 113248256 114766080 115017760 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237183232 238400448 239365632 243105720 244513280 249666560 250947840 252154320 258406080 258745344 259312768 260559464 266741760 267416292 268964608 273167180 273672960 274273120 275633152 276042624 279939920 282886656 283120640 284246688 288970240 293415936 296479040 298000560 299207040 299599872 306042880 307933912 317867264 319154176 323431680 324140960 325699330 327800616 329127744 334270365 334597120 335927904 336205760 339744768 344541440 345053280 346764288 353608320 355308360 355774848 356555056 364897280 366769920 368056832 374499840 377182208 378995584 384917390 388969152 390839196 397334080 398942720 401516544 403446912 409750770 411409680 413449728 419909880 423409129 424680960 431242240 433455360 435210240 437067488 437876736 438836992 444718560 445693820 447903872 459064320 460071040 461900868 471477760 473744480 474366464 476800896 478731264 486211440 488548995 489026560 499333120 501895680 504308640 516812160 517490688 518625536 521118928 534832584 537929216 546334360 547345920 548546240 551266304 552085248 559879840 565773312 566241280 568493376 577376085 577940480 586831872 592958080 596001120 598414080 615867824 635734528 646863360 648281920 651398660 655601232 658255488 668540730 669194240 671855808 672411520 689082880 690106560 693528576 707216640 710616720 711549696 713110112 729794560 733539840 736113664 748999680 757991168 769834780 777938304 781678392 794668160 797885440 806893824 819501540 822819360 826899456 839819760 846818258 849361920 862484480 866910720 874134976 877673984 889437120 891387640 895807744 918128640 920142080 923801736 942955520 947488960 948732928 953601792 957462528 972422880 977097990 978053120 1003791360 1008617280 1033624320 1037251072 1042237856 1069665168 1075858432 1092668720 1094691840 1097092480 1104170496 1119759680 1131546624 1136986752 1154752170 1155880960 1185916160 1192002240 1196828160 1231735648 1270227387 1271469056 1293726720 1296563840 1302797320 1311202464 1316510976 1337081460 1343711616 1344823040 1378165760 1380213120 1414433280 1421233440 1423099392 1426220224 1467079680 1472227328 1497999360 1515982336 1539669560 1555876608 1563356784 1589336320 1595770880 1613787648 1639003080 1645638720 1653798912 1679639520 1693636516 1698723840 1733821440 1748269952 1755347968 1778874240 1782775280 1791615488 1840284160 1847603472 1885911040 1894977920 1897465856 1907203584 1944845760 1954195980 2007582720 2017234560 2067248640 2074502144 2084475712 2117045645 2139330336 2151716864 2185337440 2189383680 2194184960 2208340992 2239519360 2273973504 2309504340 2371832320 2384004480 2393656320 2463471296 2540454774 2542938112 2587453440 2593127680 2605594640 2622404928 2633021952 2674162920 2687423232 2689646080 2756331520 2760426240 2828866560 2842466880 2846198784 2852440448 2934159360 3031964672 3079339120 3111753216 3126713568 3178672640 3227575296 3278006160 3291277440 3359279040 3387273032 3467642880 3496539904 3510695936 3557748480 3565550560 3583230976 3680568320 3695206944 3789955840 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14262202240 14780827776 15159823360 15558766080 15633567840 16137876480 16675805696 16936365160 17114642688 17482699520 17553479680 17916154880 18191788032 18476034720 19072035840 19707770368 20323638192 20745021440 20844757120 20979239424 21393303360 21499385856 22083409920 22739735040 22819523584 24634712960 25013708544 25404547740 26224049280 26330219520 26874232320 27098184256 27972319232 28461987840 28524404480 29561655552 30319646720 31117532160 31267135680 32275752960 33351611392 33872730320 34229285376 34965399040 35832309760 36952069440 38144071680 39415540736 40647276384 41689514240 41958478848 42786606720 45479470080 45639047168 49269425920 50027417088 50809095480 52448098560 52660439040 53748464640 54196368512 57048808960 59123311104 62235064320 62534271360 66703222784 67745460640 68458570752 69930798080 73904138880 78831081472 81294552768 83379028480 83916957696 85573213440 90958940160 98538851840 100054834176 101618190960 104896197120 107496929280 108392737024 114097617920 118246622208 125068542720 135490921280 136917141504 139861596160 147808277760 162589105536 166758056960 171146426880 197077703680 200109668352 203236381920 209792394240 216785474048 228195235840 236493244416 250137085440 270981842560 295616555520 325178211072 333516113920 342292853760 394155407360 406472763840 419584788480 433570948096 500274170880 541963685120 591233111040 650356422144 684585707520 812945527680 867141896192 1000548341760 1083927370240 1182466222080 1300712844288 1625891055360 2167854740480 2601425688576 3251782110720 4335709480960 6503564221440 13007128442880
- Sum of all divisors σ(n): 53640186163200
- Sum of proper divisors (its aliquot sum) s(n): 40633057720320
- 13007128442880 is an abundant number, because the sum of its proper divisors (40633057720320) is greater than itself. Its abundance is 27625929277440
Bases of 13007128442880
- Binary: 101111010100011101010100010100111000000000002
- Hexadecimal: 0xBD475453800
- Base-36: 4LZE4FV9C
Squares and roots of 13007128442880
- 13007128442880 squared (130071284428802) is 169185390329577893422694400
- 13007128442880 cubed (130071284428803) is 2200616102675607514882801604726095872000
-
The
square root of 13007128442880 is 3606539.6771531573 -
The
cube root of 13007128442880 is 23517.6438752323
Scales and comparisons
How big is 13007128442880?- 13,007,128,442,880 seconds is equal to 413,586 years, 23 weeks, 3 days, 2 hours, 8 minutes.
-
To count from 1 to 13,007,128,442,880 would take you about one million, thirty-three thousand, nine hundred sixty-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 13007128442880 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13007128442880
- 13007128442880 backwards is 08824482170031
- 13007128442880 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13007128442880's digits is 48
- More coming soon!
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MLA style:
"Number 13007128442880 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 13007128442880 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/13007128442880/
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Numbermatics. 2024. "Number 13007128442880 - Facts about the integer". https://numbermatics.com/n/13007128442880/
The information we have on file for 13007128442880 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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