13013001312480
13,013,001,312,480 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13013001312480 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
13013001312480 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13013001312480:
25 × 32 × 5 × 13 × 17 × 19 × 23 × 137 × 683
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 19 × 23 × 137 × 683)See below for interesting mathematical facts about the number 13013001312480 from the Numbermatics database.
Names of 13013001312480
- Cardinal: 13013001312480 can be written as Thirteen trillion, thirteen billion, one million, three hundred twelve thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.301300131248 × 1013
Factors of 13013001312480
Divisors of 13013001312480
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 19 20 23 24 26 30 32 34 36 38 39 40 45 46 48 51 52 57 60 65 68 69 72 76 78 80 85 90 92 95 96 102 104 114 115 117 120 130 136 137 138 144 152 153 156 160 170 171 180 184 190 195 204 207 208 221 228 230 234 240 247 255 260 272 274 276 285 288 299 304 306 312 323 340 342 345 360 368 380 390 391 408 411 414 416 437 442 456 460 468 480 494 510 520 544 548 552 570 585 598 608 612 624 646 663 680 683 684 685 690 720 736 741 760 765 780 782 816 822 828 855 874 884 897 912 920 936 969 988 1020 1035 1040 1096 1104 1105 1140 1170 1173 1196 1224 1233 1235 1248 1292 1311 1326 1360 1366 1368 1370 1380 1440 1482 1495 1520 1530 1560 1564 1615 1632 1644 1656 1710 1748 1768 1781 1794 1824 1840 1872 1938 1955 1976 1989 2040 2049 2055 2070 2080 2185 2192 2208 2210 2223 2280 2329 2340 2346 2392 2448 2466 2470 2584 2603 2622 2652 2691 2720 2732 2736 2740 2760 2907 2964 2990 3040 3060 3120 3128 3151 3230 3288 3312 3315 3415 3420 3496 3519 3536 3562 3588 3680 3705 3744 3876 3910 3933 3952 3978 4080 4098 4110 4140 4199 4370 4384 4420 4446 4485 4560 4658 4680 4692 4784 4845 4896 4932 4940 5083 5168 5206 5244 5304 5343 5382 5464 5472 5480 5520 5681 5814 5865 5928 5980 6120 6147 6165 6240 6256 6302 6460 6555 6576 6624 6630 6830 6840 6987 6992 7038 7072 7124 7176 7410 7429 7752 7809 7820 7866 7904 7956 8160 8196 8220 8280 8398 8740 8840 8879 8892 8905 8970 9120 9316 9360 9384 9453 9568 9690 9864 9880 9945 10166 10245 10336 10412 10488 10608 10686 10764 10928 10960 11040 11115 11362 11611 11628 11645 11730 11856 11960 12240 12294 12330 12512 12597 12604 12920 12977 13015 13110 13152 13260 13455 13660 13680 13974 13984 14076 14248 14352 14535 14820 14858 15249 15504 15618 15640 15709 15732 15755 15912 16029 16392 16440 16560 16796 17043 17480 17595 17680 17758 17784 17810 17940 18632 18720 18768 18906 19380 19665 19728 19760 19890 20332 20490 20824 20961 20976 20995 21216 21372 21528 21856 21920 22230 22287 22724 23222 23256 23290 23427 23460 23712 23920 24480 24588 24660 25194 25208 25415 25840 25954 26030 26220 26520 26637 26715 26910 27320 27360 27948 28152 28359 28405 28496 28704 29070 29640 29716 30277 30498 30735 31008 31236 31280 31418 31464 31510 31824 32058 32784 32880 33120 33592 33839 34086 34833 34935 34960 35190 35360 35516 35568 35620 35880 37145 37264 37536 37791 37812 38760 38931 39045 39330 39456 39520 39780 40664 40963 40980 41648 41922 41952 41990 42744 43056 44251 44395 44460 44574 45448 45747 46444 46512 46580 46854 46920 47127 47265 47840 49176 49320 50388 50416 50830 51129 51680 51908 52060 52440 53040 53274 53430 53567 53820 54640 55896 56304 56718 56810 56992 58055 58140 59280 59432 59869 60554 60996 61470 62472 62560 62836 62928 62985 63020 63648 64116 64885 65568 65760 66861 67184 67678 68172 69666 69870 69920 70380 71032 71136 71240 71760 74290 74528 75582 75624 76245 77520 77862 78090 78545 78660 79560 79911 80145 81328 81926 81960 83296 83844 83980 85215 85488 86112 88502 88790 88920 89148 90831 90896 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1635621080 1646381745 1654335280 1664066664 1666410720 1678663740 1751649120 1756140528 1813405980 1826642520 1840073715 1848962960 1861127190 1862459040 1902485572 1905271056 1962745296 1964523145 1978862730 1985202336 2014396488 2064900240 2080083330 2085416877 2110786912 2116967840 2126307404 2176087176 2195175660 2218755552 2238218320 2290618080 2357427774 2374635276 2378106965 2381588820 2417874640 2435523360 2453431620 2481502920 2499616080 2517995610 2560102560 2634210792 2638483640 2657884255 2685861984 2720108970 2773444440 2780555836 2793688560 2853728358 2901449568 2926900880 2944117944 2968294095 2977803504 3099071520 3143237032 3166180368 3175451760 3189461106 3271242160 3292763490 3308670560 3328133328 3357327480 3475694795 3512281056 3536141661 3626811960 3653285040 3680147430 3697925920 3722254380 3804971144 3810542112 3925490592 3929046290 3957725460 4028792976 4129800480 4160166660 4170833754 4252614808 4280592537 4352174352 4390351320 4476436640 4714855548 4749270552 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17680708305 18073612934 18859422192 18997082208 19024855720 19052710560 19136766636 19627452960 20143964880 20854168770 21263074040 21402962685 21760871760 22244446688 22829826864 23574277740 23746352760 23920958295 25025002524 25515688848 26342107920 27110419401 27805558360 28289133288 28537283580 29441179440 29778035040 31281253155 31432370320 31661803680 31894611060 33281333280 33366670032 34244740296 35361416610 36147225868 37718844384 38049711440 38273533272 40287929760 41708337540 42526148080 42805925370 43521743520 45184032335 45659653728 47148555480 47492705520 47841916590 50050005048 51031377696 52684215840 54220838802 55611116720 56578266576 57074567160 58882358880 62562506310 62864740640 63789222120 66733340064 68489480592 70722833220 72294451736 76099422880 76547066544 81331258203 83416675080 85052296160 85611850740 90368064670 94297110960 94985411040 95683833180 100100010096 108441677604 111222233440 113156533152 114149134320 125125012620 127578444240 135552097005 136978961184 141445666440 144588903472 153094133088 162662516406 166833350160 171223701480 180736129340 188594221920 191367666360 200200020192 216883355208 228298268640 250250025240 255156888480 271104194010 282891332880 289177806944 325325032812 333666700320 342447402960 361472258680 382735332720 406656291015 433766710416 500500050480 542208388020 565782665760 650650065624 684894805920 722944517360 765470665440 813312582030 867533420832 1001000100960 1084416776040 1301300131248 1445889034720 1626625164060 2168833552080 2602600262496 3253250328120 4337667104160 6506500656240 13013001312480
- Sum of all divisors σ(n): 56106363156480
- Sum of proper divisors (its aliquot sum) s(n): 43093361844000
- 13013001312480 is an abundant number, because the sum of its proper divisors (43093361844000) is greater than itself. Its abundance is 30080360531520
Bases of 13013001312480
- Binary: 101111010101110100110101001000011000111000002
- Hexadecimal: 0xBD5D35218E0
- Base-36: 4M238ZUG0
Squares and roots of 13013001312480
- 13013001312480 squared (130130013124802) is 169338203158606202603750400
- 13013001312480 cubed (130130013124803) is 2203598259955947396090072748570324992000
-
The
square root of 13013001312480 is 3607353.7825503059 -
The
cube root of 13013001312480 is 23521.1828391317
Scales and comparisons
How big is 13013001312480?- 13,013,001,312,480 seconds is equal to 413,773 years, 9 weeks, 6 days, 2 hours, 48 minutes.
-
To count from 1 to 13,013,001,312,480 would take you about one million, thirty-four thousand, four hundred thirty-two 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 13013001312480 cubic inches would be around 1960.1 feet tall.
Recreational maths with 13013001312480
- 13013001312480 backwards is 08421310031031
- The number of decimal digits it has is: 14
- The sum of 13013001312480's digits is 27
- More coming soon!
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MLA style:
"Number 13013001312480 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13013001312480 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13013001312480/
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Numbermatics. 2024. "Number 13013001312480 - Facts about the integer". https://numbermatics.com/n/13013001312480/
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