13403138268960
13,403,138,268,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 13403138268960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13403138268960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13403138268960:
25 × 33 × 5 × 113 × 401 × 5813
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 401 × 5813)See below for interesting mathematical facts about the number 13403138268960 from the Numbermatics database.
Names of 13403138268960
- Cardinal: 13403138268960 can be written as Thirteen trillion, four hundred three billion, one hundred thirty-eight million, two hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.340313826896 × 1013
Factors of 13403138268960
Divisors of 13403138268960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 88 90 96 99 108 110 120 121 132 135 144 160 165 176 180 198 216 220 240 242 264 270 288 297 330 352 360 363 396 401 432 440 480 484 495 528 540 594 605 660 720 726 792 802 864 880 968 990 1056 1080 1089 1188 1203 1210 1320 1331 1440 1452 1485 1584 1604 1760 1815 1936 1980 2005 2160 2178 2376 2406 2420 2640 2662 2904 2970 3168 3208 3267 3609 3630 3872 3960 3993 4010 4320 4356 4411 4752 4812 4840 5280 5324 5445 5808 5813 5940 6015 6416 6534 6655 7218 7260 7920 7986 8020 8712 8822 9504 9624 9680 10648 10827 10890 11616 11626 11880 11979 12030 12832 13068 13233 13310 14436 14520 15840 15972 16040 16335 17424 17439 17644 18045 19248 19360 19965 21296 21654 21780 22055 23252 23760 23958 24060 26136 26466 26620 28872 29040 29065 31944 32080 32670 34848 34878 35288 35937 36090 38496 39699 39930 42592 43308 43560 44110 46504 47520 47916 48120 48521 52272 52317 52932 53240 54135 57744 58080 58130 59895 63888 63943 64160 65340 66165 69756 70576 71874 72180 79398 79860 86616 87120 87195 88220 93008 95832 96240 97042 104544 104634 105864 106480 108270 115488 116260 119097 119790 127776 127886 130680 132330 139512 141152 143748 144360 145563 156951 158796 159720 173232 174240 174390 176440 179685 186016 191664 191829 192480 194084 198495 209268 211728 212960 216540 232520 238194 239580 242605 255772 261360 261585 264660 279024 287496 288720 291126 313902 317592 319440 319715 346464 348780 352880 359370 383328 383658 388168 396990 418536 423456 433080 436689 465040 476388 479160 485210 511544 522720 523170 529320 533731 558048 574992 575487 577440 582252 595485 627804 635184 638880 639430 697560 703373 705760 718740 727815 767316 776336 784755 793980 837072 866160 873378 930080 952776 958320 959145 970420 1023088 1046340 1058640 1067462 1149984 1150974 1164504 1190970 1255608 1270368 1278860 1310067 1395120 1406746 1437480 1455630 1534632 1552672 1569510 1587960 1601193 1674144 1726461 1732320 1746756 1905552 1916640 1918290 1940840 2046176 2092680 2110119 2117280 2134924 2183445 2301948 2329008 2331013 2381940 2511216 2557720 2620134 2668655 2790240 2813492 2874960 2877435 2911260 3069264 3139020 3175920 3202386 3452922 3493512 3516865 3811104 3836580 3881680 4185360 4220238 4269848 4366890 4603896 4658016 4662026 4763880 4803579 5022432 5115440 5240268 5337310 5626984 5749920 5754870 5822520 6138528 6278040 6330357 6351840 6404772 6550335 6905844 6987024 6993039 7033730 7673160 7737103 7763360 8005965 8370720 8440476 8539696 8632305 8733780 9207792 9324052 9527760 9607158 10230880 10480536 10550595 10674620 11253968 11509740 11645040 11655065 12556080 12660714 12809544 13100670 13811688 13974048 13986078 14067460 14410737 15346320 15474206 16011930 16880952 17079392 17264610 17467560 18415584 18648104 18991071 19055520 19214316 20961072 20979117 21101190 21349240 22507936 23019480 23211309 23290080 23310130 24017895 25112160 25321428 25619088 25641143 26201340 27623376 27972156 28134920 28821474 30692640 30948412 31651785 32023860 33761904 34529220 34935120 34965195 37296208 37982142 38428632 38685515 41922144 41958234 42202380 42698480 46038960 46422618 46620260 48035790 50642856 51238176 51282286 52402680 55246752 55944312 56269840 57642948 61896824 62937351 63303570 64047720 67523808 69058440 69633927 69870240 69930390 72053685 74592416 75964284 76857264 76923429 77371030 83916468 84404760 85396960 92077920 92845236 93240520 94955355 96071580 101285712 102564572 104805360 104895585 111888624 112539680 115285896 116056545 123793648 125874702 126607140 128095440 128205715 138116880 139267854 139860780 144107370 151928568 153714528 153846858 154742060 167832936 168809520 185690472 186481040 189910710 192143160 202571424 205129144 208901781 209610720 209791170 223777248 230571792 230770287 232113090 247587296 251749404 253214280 256190880 256411430 276233760 278535708 279721560 282052573 288214740 303857136 307693716 309484120 314686755 335665872 337619040 348169635 371380944 372962080 379821420 384286320 384617145 410258288 417803562 419582340 461143584 461540574 464226180 503498808 506428560 512822860 557071416 559443120 564105146 576429480 607714272 615387432 618968240 629373510 671331744 692310861 696339270 742761888 759642840 768572640 769234290 820516576 835607124 839164680 846157719 923081148 928452360 1006997616 1012857120 1025645720 1044508905 1114142832 1118886240 1128210292 1152858960 1153851435 1230774864 1237936480 1258747020 1384621722 1392678540 1410262865 1519285680 1538468580 1671214248 1678329360 1692315438 1846162296 1856904720 2013995232 2051291440 2089017810 2228285664 2256420584 2305717920 2307702870 2461549728 2517494040 2538473157 2769243444 2785357080 2820525730 3038571360 3076937160 3102578303 3342428496 3356658720 3384630876 3461554305 3692324592 3713809440 4102582880 4178035620 4230788595 4512841168 4615405740 5034988080 5076946314 5538486888 5570714160 5641051460 6153874320 6205156606 6684856992 6769261752 6923108610 7384649184 7615419471 8356071240 8461577190 9025682336 9230811480 9307734909 10069976160 10153892628 11076973776 11141428320 11282102920 12307748640 12410313212 12692365785 13538523504 13846217220 15230838942 15512891515 16712142480 16923154380 18461622960 18615469818 20307785256 22153947552 22564205840 24820626424 25384731570 27077047008 27692434440 27923204727 30461677884 31025783030 33424284960 33846308760 36923245920 37230939636 38077097355 40615570512 45128411680 46538674545 49641252848 50769463140 55384868880 55846409454 60923355768 62051566060 67692617520 74461879272 76154194710 81231141024 83769614181 93077349090 99282505696 101538926280 110769737760 111692818908 121846711536 124103132120 135385235040 139616023635 148923758544 152308389420 167539228362 186154698180 203077852560 223385637816 243693423072 248206264240 279232047270 297847517088 304616778840 335078456724 372309396360 406155705120 418848070905 446771275632 496412528480 558464094540 609233557680 670156913448 744618792720 837696141810 893542551264 1116928189080 1218467115360 1340313826896 1489237585440 1675392283620 2233856378160 2680627653792 3350784567240 4467712756320 6701569134480 13403138268960
- Sum of all divisors σ(n): 51736131095040
- Sum of proper divisors (its aliquot sum) s(n): 38332992826080
- 13403138268960 is an abundant number, because the sum of its proper divisors (38332992826080) is greater than itself. Its abundance is 24929854557120
Bases of 13403138268960
- Binary: 110000110000101010010100101110011111001000002
- Hexadecimal: 0xC30A94B9F20
- Base-36: 4R1BEGSO0
Squares and roots of 13403138268960
- 13403138268960 squared (134031382689602) is 179644115456860065299481600
- 13403138268960 cubed (134031382689603) is 2407794918673309795175046376209371136000
-
The
square root of 13403138268960 is 3661029.6733241593 -
The
cube root of 13403138268960 is 23753.9314748655
Scales and comparisons
How big is 13403138268960?- 13,403,138,268,960 seconds is equal to 426,178 years, 17 weeks, 4 days, 3 hours, 36 minutes.
-
To count from 1 to 13,403,138,268,960 would take you about one million, sixty-five thousand, four hundred forty-five 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 13403138268960 cubic inches would be around 1979.5 feet tall.
Recreational maths with 13403138268960
- 13403138268960 backwards is 06986283130431
- 13403138268960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13403138268960's digits is 54
- 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 13403138268960 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 13403138268960 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13403138268960/
Chicago style:
Numbermatics. 2024. "Number 13403138268960 - Facts about the integer". https://numbermatics.com/n/13403138268960/
The information we have on file for 13403138268960 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 13403138268960, math, Factors of 13403138268960, curriculum, school, college, exams, university, Prime factorization of 13403138268960, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred three billion, one hundred thirty-eight million, two hundred sixty-eight thousand, nine hundred sixty.