13008980514816
13,008,980,514,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13008980514816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13008980514816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13008980514816:
211 × 32 × 11 × 132 × 31 × 37 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 13 × 31 × 37 × 331)See below for interesting mathematical facts about the number 13008980514816 from the Numbermatics database.
Names of 13008980514816
- Cardinal: 13008980514816 can be written as Thirteen trillion, eight billion, nine hundred eighty million, five hundred fourteen thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.3008980514816 × 1013
Factors of 13008980514816
Divisors of 13008980514816
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 31 32 33 36 37 39 44 48 52 62 64 66 72 74 78 88 93 96 99 104 111 117 124 128 132 143 144 148 156 169 176 186 192 198 208 222 234 248 256 264 279 286 288 296 312 331 333 338 341 352 372 384 396 403 407 416 429 444 468 481 496 507 512 528 558 572 576 592 624 662 666 676 682 704 744 768 792 806 814 832 858 888 936 962 992 993 1014 1023 1024 1056 1116 1144 1147 1152 1184 1209 1221 1248 1287 1324 1332 1352 1364 1408 1443 1488 1521 1536 1584 1612 1628 1664 1716 1776 1859 1872 1924 1984 1986 2028 2046 2048 2112 2232 2288 2294 2304 2368 2418 2442 2496 2574 2648 2664 2704 2728 2816 2886 2976 2979 3042 3069 3072 3168 3224 3256 3328 3432 3441 3552 3627 3641 3663 3718 3744 3848 3968 3972 4056 4092 4224 4303 4329 4433 4464 4576 4588 4608 4736 4836 4884 4992 5148 5239 5291 5296 5328 5408 5456 5577 5632 5772 5952 5958 6084 6138 6144 6253 6336 6448 6512 6656 6864 6882 7104 7254 7282 7326 7436 7488 7696 7936 7944 8112 8184 8448 8606 8658 8866 8928 9152 9176 9216 9472 9672 9768 9984 10261 10296 10323 10478 10582 10592 10656 10816 10912 10923 11154 11264 11544 11904 11916 12168 12247 12276 12506 12617 12672 12896 12909 13024 13299 13312 13728 13764 14208 14508 14564 14652 14872 14911 14976 15392 15717 15872 15873 15888 16224 16368 16731 16896 17212 17316 17732 17856 18304 18352 18432 18759 18944 19344 19536 19968 20522 20592 20646 20956 21164 21184 21312 21632 21824 21846 22308 22528 23088 23808 23832 24336 24494 24552 25012 25234 25344 25792 25818 26048 26598 26624 27456 27528 28416 29016 29128 29304 29744 29822 29952 30783 30784 31434 31744 31746 31776 32448 32736 32769 33462 33792 34424 34632 35464 35712 36608 36704 36741 37518 37851 37888 38688 38727 39072 39897 39936 41044 41184 41292 41912 42328 42368 42624 43264 43648 43692 44616 44733 46176 47151 47333 47616 47619 47664 48672 48988 49104 50024 50468 50688 51584 51636 52096 53196 54912 55056 55939 56277 56832 57629 58032 58256 58608 59488 59644 59904 61566 61568 62868 63488 63492 63552 64896 65472 65538 66924 67584 68783 68848 69264 70928 71424 73216 73408 73482 75036 75702 75776 77376 77454 78144 79794 79872 82088 82368 82584 83824 84656 84736 85248 86528 87296 87384 89232 89466 92349 92352 94302 94666 95232 95238 95328 97344 97976 98208 100048 100936 101376 103168 103272 104192 106392 109824 110112 110223 111878 112554 112871 113553 113664 115258 116064 116512 117216 118976 119288 119808 123132 123136 125736 126984 127104 129792 130944 131076 133393 133848 134199 134717 137566 137696 138528 141856 141999 142848 146432 146816 146964 150072 151404 154752 154908 156288 159211 159588 164021 164176 164736 165168 167648 167817 169312 169472 170496 172887 173056 174592 174768 178464 178932 184698 184704 188604 189332 190464 190476 190656 193843 194688 195952 196416 200096 201872 202752 206336 206349 206544 208384 212784 219648 220224 220446 223756 225108 225742 227106 227328 230516 232128 233024 234432 237952 238576 239616 246264 246272 251472 253968 254208 259584 261888 262152 266786 267696 268398 269434 275132 275392 277056 283712 283998 285696 292864 293632 293928 300144 302808 309504 309816 312576 318422 319176 328042 328352 329472 330336 335296 335634 338613 338624 338944 340992 345774 346112 349184 349536 356928 357864 369396 369408 377208 378664 379657 380952 381312 387686 389376 391904 392832 400179 400192 403744 404151 412672 412698 413088 416768 425568 425997 439296 440448 440892 447512 450216 451484 454212 461032 464256 466048 468864 475904 477152 477633 492063 492528 492544 502944 503451 507936 508416 518661 519168 523776 524304 533572 535392 536796 538868 550264 550784 554112 567424 567996 571392 581529 587264 587856 600288 605616 615329 619008 619047 619632 625152 636844 638352 656084 656704 658944 660672 670592 671268 677226 677248 677888 681984 691548 698368 699072 713856 715728 738792 738816 754416 757328 759314 761904 762624 775372 778752 783808 785664 800358 800384 807488 808302 825344 825396 826176 833536 851136 851994 878592 880896 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42031704 42961152 43342464 44259072 44303688 44419869 45534346 45806592 45852768 46954336 47238048 47282688 48282624 48468992 48596096 48761856 49623808 49673832 50114724 51174552 51222912 51731328 52823628 52825344 54290951 54527616 54670608 55491488 55826784 56042272 56434176 57225597 57281536 57627648 57789952 58139136 59012096 59071584 59226492 61137024 62427924 62984064 63043584 63047556 64162033 64441728 65013696 66231776 66388608 66819632 67110912 68232736 68297216 68301519 68709888 68975104 70431504 70433792 72703488 72894144 74435712 74510748 75172086 75245568 76300796 76761828 76834368 77518848 77596992 78762112 78968656 79238016 79312896 81516032 81709056 83237232 83978752 84063408 85922304 86684928 88518144 88607376 88839738 91068692 91613184 91705536 93908672 94476096 94565376 96565248 96937984 97192192 97523712 99247616 99347664 100229448 102349104 102445824 103462656 105647256 105650688 108581902 109055232 109341216 110982976 111653568 112084544 112868352 114451194 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3908948472 3995387136 4035043584 4106370112 4234694178 4238833664 4276456448 4366895104 4371297216 4507616256 4619666376 4768687872 4811013504 4883250944 4912756992 5053993984 5211931296 5327182848 5380058112 5493657312 5646258904 5670872064 5685743232 5828396288 6159555168 6352041267 6358250496 6414684672 6550342656 6556945824 6761424384 6949241728 6997837824 7324876416 7580990976 7817896944 7990774272 8070087168 8212740224 8469388356 8552912896 8742594432 9015232512 9239332752 9537375744 9622027008 9766501888 9825513984 10107987968 10423862592 10654365696 10760116224 10987314624 11292517808 11341744128 11371486464 11656792576 12319110336 12704082534 12716500992 12829369344 13100685312 13113891648 13522848768 13898483456 14649752832 15161981952 15635793888 15981548544 16140174336 16425480448 16938776712 17485188864 18478665504 19074751488 19244054016 19533003776 19651027968 20847725184 21974629248 22585035616 22742972928 23313585152 24638220672 25408165068 25658738688 26227783296 27045697536 27796966912 29299505664 30323963904 31271587776 31963097088 32280348672 32850960896 33877553424 34970377728 36957331008 38149502976 38488108032 39066007552 39302055936 41695450368 43949258496 45170071232 45485945856 46627170304 49276441344 50816330136 52455566592 55593933824 58599011328 62543175552 65701921792 67755106848 69940755456 73914662016 76976216064 83390900736 87898516992 90340142464 90971891712 98552882688 101632660272 104911133184 111187867648 117198022656 125086351104 131403843584 135510213696 139881510912 147829324032 166781801472 175797033984 180680284928 197105765376 203265320544 209822266368 250172702208 271020427392 295658648064 333563602944 351594067968 361360569856 394211530752 406530641088 419644532736 500345404416 542040854784 591317296128 722721139712 813061282176 1000690808832 1084081709568 1182634592256 1445442279424 1626122564352 2168163419136 3252245128704 4336326838272 6504490257408 13008980514816
- Sum of all divisors σ(n): 47195571870720
- Sum of proper divisors (its aliquot sum) s(n): 34186591355904
- 13008980514816 is an abundant number, because the sum of its proper divisors (34186591355904) is greater than itself. Its abundance is 21177610841088
Bases of 13008980514816
- Binary: 101111010100111000111010100110011000000000002
- Hexadecimal: 0xBD4E3A99800
- Base-36: 4M08R4740
Squares and roots of 13008980514816
- 13008980514816 squared (130089805148162) is 169233574034862360395513856
- 13008980514816 cubed (130089805148163) is 2201556267072195399469732771803741290496
-
The
square root of 13008980514816 is 3606796.4337921819 -
The
cube root of 13008980514816 is 23518.7600401429
Scales and comparisons
How big is 13008980514816?- 13,008,980,514,816 seconds is equal to 413,645 years, 17 weeks, 5 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,008,980,514,816 would take you about one million, thirty-four thousand, one hundred thirteen 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 13008980514816 cubic inches would be around 1959.9 feet tall.
Recreational maths with 13008980514816
- 13008980514816 backwards is 61841508980031
- The number of decimal digits it has is: 14
- The sum of 13008980514816's digits is 54
- More coming soon!
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"Number 13008980514816 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13008980514816 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13008980514816/
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The information we have on file for 13008980514816 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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