1381312468806400
1,381,312,468,806,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1381312468806400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
1381312468806400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 1381312468806400:
28 × 52 × 13 × 29 × 37 × 1889 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 29 × 37 × 1889 × 8191)See below for interesting mathematical facts about the number 1381312468806400 from the Numbermatics database.
Names of 1381312468806400
- Cardinal: 1381312468806400 can be written as One quadrillion, three hundred eighty-one trillion, three hundred twelve billion, four hundred sixty-eight million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.3813124688064 × 1015
Factors of 1381312468806400
Divisors of 1381312468806400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 37 40 50 52 58 64 65 74 80 100 104 116 128 130 145 148 160 185 200 208 232 256 260 290 296 320 325 370 377 400 416 464 481 520 580 592 640 650 725 740 754 800 832 925 928 962 1040 1073 1160 1184 1280 1300 1450 1480 1508 1600 1664 1850 1856 1885 1889 1924 2080 2146 2320 2368 2405 2600 2900 2960 3016 3200 3328 3700 3712 3770 3778 3848 4160 4292 4640 4736 4810 5200 5365 5800 5920 6032 6400 7400 7424 7540 7556 7696 8191 8320 8584 9280 9425 9445 9472 9620 10400 10730 11600 11840 12025 12064 13949 14800 15080 15112 15392 16382 16640 17168 18560 18850 18890 19240 20800 21460 23200 23680 24050 24128 24557 26825 27898 29600 30160 30224 30784 32764 34336 37120 37700 37780 38480 40955 41600 42920 46400 47225 47360 48100 48256 49114 53650 54781 55796 59200 60320 60448 61568 65528 68672 69745 69893 75400 75560 76960 81910 83200 85840 92800 94450 96200 96512 98228 106483 107300 109562 111592 118400 120640 120896 122785 123136 131056 137344 139490 139786 150800 151120 153920 163820 171680 185600 188900 192400 196456 204775 212966 214600 219124 223184 236800 237539 241280 241792 245570 262112 273905 274688 278980 279572 301600 302240 303067 307840 327640 343360 348725 349465 377800 384800 392912 409550 425932 429200 438248 446368 475078 482560 483584 491140 524224 532415 547810 557960 559144 603200 604480 606134 613925 615680 655280 686720 697450 698930 712153 755600 769600 785824 819100 851864 858400 876496 892736 908609 950156 982280 1048448 1064830 1095620 1115920 1118288 1187695 1206400 1208960 1212268 1227850 1310560 1369525 1373440 1394900 1397860 1424306 1511200 1515335 1539200 1571648 1638200 1703728 1716800 1747325 1752992 1785472 1817218 1900312 1964560 2026897 2096896 2129660 2191240 2231840 2236576 2375390 2412800 2417920 2424536 2455700 2621120 2662075 2739050 2789800 2795720 2848612 3022400 3030670 3078400 3088007 3143296 3276400 3407456 3433600 3494650 3505984 3560765 3570944 3634436 3800624 3929120 3939871 4053794 4259320 4382480 4463680 4473152 4543045 4750780 4849072 4911400 5242240 5324150 5478100 5579600 5591440 5697224 5938475 6044800 6061340 6176014 6286592 6552800 6814912 6867200 6989300 7011968 7121530 7268872 7576675 7601248 7858240 7879742 8107588 8518640 8764960 8788943 8927360 8946304 9086090 9501560 9698144 9822800 10134485 10484480 10648300 10956200 11159200 11182880 11394448 11876950 12089600 12122680 12352028 13105600 13629824 13978600 14023936 14243060 14537744 15153350 15202496 15440035 15472799 15716480 15759484 16215176 17037280 17529920 17577886 17803825 17854720 17892608 18172180 19003120 19396288 19645600 19699355 20268970 21296600 21912400 22318400 22365760 22715225 22788896 23753900 24245360 24704056 26211200 26349661 27259648 27957200 28486120 29075488 30306700 30404992 30880070 30945598 31432960 31518968 32430352 34074560 35059840 35155772 35607650 36344360 38006240 38792576 39291200 39398710 40537940 42593200 43824800 43944715 44636800 44731520 45430450 45577792 47507800 48490720 49408112 50672425 52422400 52699322 55914400 56972240 58150976 60613400 60809984 61760140 61891196 63037936 64860704 68149120 70119680 70311544 71215300 72688720 76012480 77200175 77363995 77585152 78582400 78797420 81075880 85186400 87649600 87889430 89273600 89463040 90860900 91155584 95015600 96981440 98496775 98816224 101344850 105398644 111828800 113944480 114256259 116301952 121226800 123520280 123782392 126075872 129721408 131748305 136298240 140623088 142430600 145377440 152024960 154400350 154727990 157164800 157594840 162151760 170372800 175299200 175778860 181721800 182311168 190031200 193962880 196993550 197632448 201146387 202689700 210797288 219723575 223657600 227888960 228512518 232603904 242453600 247040560 247564784 252151744 259442816 263496610 281246176 284861200 290754880 304049920 308800700 309455980 315189680 324303520 340745600 350598400 351557720 363443600 380062400 386819975 387925760 393987100 395264896 402292774 405379400 421594576 439447150 447315200 448711171 455777920 457025036 484907200 494081120 495129568 504303488 518885632 526993220 562492352 569722400 571281295 572493563 581509760 617601400 618911960 630379360 648607040 658741525 681491200 703115440 726887200 760124800 773639950 787974200 790529792 804585548 810758800 843189152 878894300 897422342 911555840 914050072 969814400 988162240 990259136 1005731935 1008606976 1053986440 1124984704 1139444800 1142562590 1144987126 1163019520 1235202800 1237823920 1260758720 1297214080 1317483050 1406230880 1453774400 1520249600 1547279900 1575948400 1609171096 1621517600 1686378304 1757788600 1794844684 1828100144 1939628800 1976324480 1980518272 2011463870 2107972880 2243555855 2249969408 2278889600 2285125180 2289974252 2470405600 2475647840 2521517440 2594428160 2634966100 2812461760 2856406475 2862467815 2907548800 3094559800 3151896800 3218342192 3243035200 3372756608 3515577200 3589689368 3656200288 3952648960 3961036544 4022927740 4215945760 4487111710 4557779200 4570250360 4579948504 4940811200 4951295680 5028659675 5043034880 5269932200 5624923520 5712812950 5724935630 5815097600 5833245223 6189119600 6303793600 6436684384 6486070400 6745513216 7031154400 7179378736 7312400576 7442416319 8045855480 8431891520 8974223420 9140500720 9159897008 9881622400 9902591360 10057319350 10539864400 11217779275 11249847040 11425625900 11449871260 11666490446 12378239200 12607587200 12873368768 12972140800 14062308800 14312339075 14358757472 14624801152 14884832638 16091710960 16602313327 16863783040 17948446840 18281001440 18319794016 19763244800 19805182720 20114638700 21079728800 22435558550 22851251800 22899742520 23332980892 24756478400 25215174400 25746737536 28124617600 28624678150 28717514944 29166226115 29249602304 29769665276 32183421920 33204626654 33727566080 35896893680 36562002880 36639588032 37212081595 40229277400 42159457600 44871117100 45702503600 45799485040 46665961784 49512956800 51493475072 56249235200 57249356300 57435029888 58332452230 59539330552 64366843840 66409253308 71793787360 73124005760 73279176064 74424163190 80458554800 83011566635 84318915200 89742234200 91405007200 91598970080 93331923568 99025913600 114498712600 114870059776 116664904460 119078661104 128733687680 132818506616 143587574720 145831130575 146248011520 146558352128 148848326380 160917109600 166023133270 168637830400 179484468400 182810014400 183197940160 186060407975 186663847136 215830073251 228997425200 233329808920 238157322208 257467375360 265637013232 287175149440 291662261150 297696652760 321834219200 332046266540 358968936800 365620028800 366395880320 372120815950 373327694272 415057833175 431660146502 457994850400 466659617840 476314644416 531274026464 574350298880 583324522300 595393305520 643668438400 664092533080 717937873600 731240057600 732791760640 744241631900 746655388544 830115666350 863320293004 915989700800 933319235680 952629288832 1062548052928 1079150366255 1166649044600 1190786611040 1287336876800 1328185066160 1435875747200 1488483263800 1493310777088 1660231332700 1726640586008 1831979401600 1866638471360 1905258577664 2125096105856 2158300732510 2333298089200 2381573222080 2656370132320 2871751494400 2976966527600 3320462665400 3453281172016 3663958803200 3733276942720 4250192211712 4316601465020 4666596178400 4763146444160 5312740264640 5395751831275 5953933055200 6640925330800 6906562344032 7466553885440 8633202930040 9333192356800 9526292888320 10625480529280 10791503662550 11907866110400 13281850661600 13813124688064 17266405860080 18666384713600 21250961058560 21583007325100 23815732220800 26563701323200 27626249376128 34532811720160 37332769427200 43166014650200 47631464441600 53127402646400 55252498752256 69065623440320 86332029300400 106254805292800 138131246880640 172664058600800 276262493761280 345328117201600 690656234403200 1381312468806400
- Sum of all divisors σ(n): 3914418261196800
- Sum of proper divisors (its aliquot sum) s(n): 2533105792390400
- 1381312468806400 is an abundant number, because the sum of its proper divisors (2533105792390400) is greater than itself. Its abundance is 1151793323584000
Bases of 1381312468806400
- Binary: 1001110100001001011110111110000011011101011000000002
- Hexadecimal: 0x4E84BDF06EB00
- Base-36: DLMU6RHV5S
Squares and roots of 1381312468806400
- 1381312468806400 squared (13813124688064002) is 1908024136480031773040680960000
- 1381312468806400 cubed (13813124688064003) is 2635577530503432184794736503038214406144000000
-
The
square root of 1381312468806400 is 37166012.2801249691 -
The
cube root of 1381312468806400 is 111368.9121170063
Scales and comparisons
How big is 1381312468806400?- 1,381,312,468,806,400 seconds is equal to 43,921,463 years, 43 weeks, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 1,381,312,468,806,400 would take you about one hundred thirty-one million, seven hundred sixty-four thousand, three hundred ninety-one 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 1381312468806400 cubic inches would be around 9280.7 feet tall.
Recreational maths with 1381312468806400
- 1381312468806400 backwards is 0046088642131831
- The number of decimal digits it has is: 16
- The sum of 1381312468806400's digits is 55
- 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 1381312468806400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 1381312468806400 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/1381312468806400/
Chicago style:
Numbermatics. 2024. "Number 1381312468806400 - Facts about the integer". https://numbermatics.com/n/1381312468806400/
The information we have on file for 1381312468806400 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 1381312468806400, math, Factors of 1381312468806400, curriculum, school, college, exams, university, Prime factorization of 1381312468806400, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred eighty-one trillion, three hundred twelve billion, four hundred sixty-eight million, eight hundred six thousand, four hundred.