1329690317030400
1,329,690,317,030,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 1329690317030400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
1329690317030400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 1329690317030400:
210 × 3 × 52 × 133 × 1993
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 199 × 199 × 199)See below for interesting mathematical facts about the number 1329690317030400 from the Numbermatics database.
Names of 1329690317030400
- Cardinal: 1329690317030400 can be written as One quadrillion, three hundred twenty-nine trillion, six hundred ninety billion, three hundred seventeen million, thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.3296903170304 × 1015
Factors of 1329690317030400
Divisors of 1329690317030400
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 195 199 200 208 240 256 260 300 312 320 325 338 384 390 398 400 416 480 507 512 520 597 600 624 640 650 676 768 780 796 800 832 845 960 975 995 1014 1024 1040 1194 1200 1248 1280 1300 1352 1536 1560 1592 1600 1664 1690 1920 1950 1990 2028 2080 2197 2388 2400 2496 2535 2560 2587 2600 2704 2985 3072 3120 3184 3200 3328 3380 3840 3900 3980 4056 4160 4225 4394 4776 4800 4975 4992 5070 5120 5174 5200 5408 5970 6240 6368 6400 6591 6656 6760 7680 7761 7800 7960 8112 8320 8450 8788 9552 9600 9950 9984 10140 10348 10400 10816 10985 11940 12480 12675 12736 12800 12935 13182 13312 13520 14925 15360 15522 15600 15920 16224 16640 16900 17576 19104 19200 19900 19968 20280 20696 20800 21632 21970 23880 24960 25350 25472 25600 25870 26364 27040 29850 31044 31200 31840 32448 32955 33280 33631 33800 35152 38208 38400 38805 39601 39800 39936 40560 41392 41600 43264 43940 47760 49920 50700 50944 51740 52728 54080 54925 59700 62088 62400 63680 64675 64896 65910 66560 67262 67600 70304 76416 76800 77610 79202 79600 81120 82784 83200 86528 87880 95520 99840 100893 101400 101888 103480 105456 108160 109850 118803 119400 124176 124800 127360 129350 129792 131820 134524 135200 140608 152832 155220 158404 159200 162240 164775 165568 166400 168155 173056 175760 191040 194025 198005 199680 201786 202800 203776 206960 210912 216320 219700 237606 238800 248352 249600 254720 258700 259584 263640 269048 270400 281216 305664 310440 316808 318400 324480 329550 331136 332800 336310 351520 382080 388050 396010 403572 405600 413920 421824 432640 437203 439400 475212 477600 496704 499200 504465 509440 514813 517400 519168 527280 538096 540800 562432 594015 611328 620880 633616 636800 648960 659100 662272 672620 703040 764160 776100 792020 807144 811200 827840 840775 843648 865280 874406 878800 950424 955200 990025 993408 998400 1008930 1018880 1029626 1034800 1054560 1076192 1081600 1124864 1188030 1241760 1267232 1273600 1297920 1311609 1318200 1324544 1345240 1406080 1528320 1544439 1552200 1584040 1614288 1622400 1655680 1681550 1687296 1748812 1757600 1900848 1910400 1980050 1986816 2017860 2059252 2069600 2109120 2152384 2163200 2186015 2249728 2376060 2483520 2522325 2534464 2547200 2574065 2595840 2623218 2636400 2649088 2690480 2812160 2970075 3056640 3088878 3104400 3168080 3228576 3244800 3311360 3363100 3374592 3497624 3515200 3801696 3820800 3960100 3973632 4035720 4118504 4139200 4218240 4304768 4326400 4372030 4752120 4967040 5044650 5068928 5094400 5148130 5246436 5272800 5380960 5624320 5940150 6177756 6208800 6336160 6457152 6489600 6558045 6622720 6692569 6726200 6749184 6995248 7030400 7603392 7641600 7722195 7880599 7920200 7947264 8071440 8237008 8278400 8436480 8609536 8744060 9504240 9934080 10089300 10137856 10296260 10492872 10545600 10761920 10930075 11248640 11880300 12355512 12417600 12672320 12870325 12914304 12979200 13116090 13245440 13385138 13452400 13990496 14060800 15206784 15283200 15444390 15761198 15840400 16142880 16474016 16556800 16872960 17219072 17488120 19008480 19868160 20077707 20178600 20275712 20592520 20985744 21091200 21523840 21860150 23641797 23760600 24711024 24835200 25344640 25740650 25828608 26232180 26770276 26904800 27980992 28121600 30413568 30888780 31522396 31680800 32285760 32790225 32948032 33113600 33462845 33745920 34438144 34976240 38016960 38610975 39402995 39736320 40155414 40357200 40551424 41185040 41971488 42182400 43047680 43720300 47283594 47521200 49422048 49670400 50689280 51481300 51657216 52464360 53540552 53809600 55961984 56243200 60827136 61777560 63044792 63361600 64571520 65580450 65896064 66227200 66925690 69952480 76033920 77221950 78805990 80310828 80714400 82370080 83942976 84364800 86095360 87003397 87440600 94567188 95042400 98844096 99340800 100388535 101378560 102447787 102962600 103314432 104928720 107081104 107619200 111923968 118208985 121654272 123555120 126089584 126723200 129143040 131160900 131792128 133851380 139904960 152067840 154443900 157611980 160621656 161428800 164740160 167314225 167885952 168729600 172190720 174006794 174881200 189134376 190084800 197014975 197688192 198681600 200777070 202757120 204895574 205925200 209857440 214162208 215238400 223847936 236417970 247110240 252179168 253446400 258286080 261010191 262321800 263584256 267702760 279809920 304135680 307343361 308887800 315223960 321243312 322857600 329480320 334628450 335771904 348013588 349762400 378268752 380169600 394029950 395376384 401554140 409791148 411850400 419714880 428324416 430476800 435016985 447695872 472835940 494220480 501942675 504358336 506892800 512238935 516572160 522020382 524643600 527168512 535405520 559619840 591044925 608271360 614686722 617775600 630447920 642486624 645715200 658960640 669256900 671543808 696027176 699524800 756537504 760339200 788059900 790752768 803108280 819582296 823700800 839429760 856648832 860953600 870033970 945671880 988440960 1003885350 1008716672 1013785600 1024477870 1044040764 1049287200 1070811040 1119239680 1182089850 1229373444 1235551200 1260895840 1284973248 1291430400 1305050955 1317921280 1331821231 1338513800 1343087616 1392054352 1399049600 1513075008 1520678400 1536716805 1576119800 1581505536 1606216560 1639164592 1647401600 1678859520 1713297664 1740067940 1891343760 1976881920 2007770700 2017433344 2048955740 2088081528 2098574400 2141622080 2175084925 2238479360 2364179700 2458746888 2471102400 2521791680 2561194675 2569946496 2582860800 2610101910 2635842560 2663642462 2677027600 2784108704 2798099200 3026150016 3041356800 3073433610 3152239600 3212433120 3278329184 3294803200 3357719040 3426595328 3480135880 3782687520 3953763840 3995463693 4015541400 4034866688 4097911480 4176163056 4197148800 4283244160 4350169850 4728359400 4917493776 4942204800 5043583360 5122389350 5139892992 5220203820 5327284924 5354055200 5568217408 5596198400 6052300032 6146867220 6304479200 6424866240 6525254775 6556658368 6589606400 6659106155 6715438080 6853190656 6960271760 7565375040 7683584025 7907527680 7990927386 8031082800 8069733376 8195822960 8352326112 8394297600 8566488320 8700339700 9456718800 9834987552 9884409600 10087166720 10244778700 10279785984 10440407640 10654569848 10708110400 11136434816 11192396800 12104600064 12293734440 12608958400 12849732480 13050509550 13113316736 13179212800 13318212310 13920543520 15130750080 15367168050 15981854772 16062165600 16391645920 16704652224 16788595200 17132976640 17313676003 17400679400 18913437600 19669975104 19768819200 19977318465 20174333440 20489557400 20559571968 20880815280 21309139696 21416220800 22272869632 24209200128 24587468880 25217916800 25699464960 26101019100 26226633472 26636424620 27841087040 30261500160 30734336100 31963709544 32124331200 32783291840 33295530775 33409304448 33577190400 34265953280 34627352006 34801358800 37826875200 39339950208 39537638400 39954636930 40348666880 40979114800 41761630560 42618279392 42832441600 44545739264 49174937760 50435833600 51398929920 51941028009 52202038200 52453266944 53272849240 55682174080 60523000320 61468672200 63927419088 64248662400 65566583680 66591061550 66818608896 69254704012 69602717600 75653750400 78679900416 79909273860 81958229600 83523261120 85236558784 85664883200 86568380015 89091478528 98349875520 99886592325 100871667200 102797859840 103882056018 104404076400 104906533888 106545698480 111364348160 121046000640 122937344400 127854838176 128497324800 131133167360 133182123100 133637217792 138509408024 139205435200 151307500800 157359800832 159818547720 163916459200 167046522240 170473117568 171329766400 173136760030 196699751040 199773184650 201743334400 207764112036 208808152800 213091396960 222728696320 245874688800 255709676352 256994649600 259705140045 262266334720 266364246200 267274435584 277018816048 278410870400 302615001600 314719601664 319637095440 327832918400 334093044480 340946235136 346273520060 393399502080 399546369300 415528224072 417616305600 426182793920 432841900075 445457392640 491749377600 511419352704 513989299200 519410280090 524532669440 532728492400 554037632096 556821740800 605230003200 639274190880 655665836800 668186088960 681892470272 692547040120 786799004160 799092738600 831056448144 835232611200 852365587840 865683800150 983498755200 1022838705408 1038820560180 1065456984800 1108075264192 1113643481600 1278548381760 1298525700225 1311331673600 1336372177920 1363784940544 1385094080240 1573598008320 1598185477200 1662112896288 1670465222400 1704731175680 1731367600300 1966997510400 2045677410816 2077641120360 2130913969600 2216150528384 2227286963200 2557096763520 2597051400450 2622663347200 2770188160480 3196370954400 3324225792576 3340930444800 3409462351360 3462735200600 3933995020800 4091354821632 4155282240720 4261827939200 4432301056768 5114193527040 5194102800900 5540376320960 6392741908800 6648451585152 6681860889600 6818924702720 6925470401200 7867990041600 8310564481440 8523655878400 8864602113536 10228387054080 10388205601800 11080752641920 12785483817600 13296903170304 13850940802400 16621128962880 17047311756800 17729204227072 20456774108160 20776411203600 22161505283840 25570967635200 26593806340608 27701881604800 33242257925760 34094623513600 41552822407200 44323010567680 51141935270400 53187612681216 55403763209600 66484515851520 83105644814400 88646021135360 102283870540800 110807526419200 132969031703040 166211289628800 221615052838400 265938063406080 332422579257600 443230105676800 664845158515200 1329690317030400
- Sum of all divisors σ(n): 4784797913056000
- Sum of proper divisors (its aliquot sum) s(n): 3455107596025600
- 1329690317030400 is an abundant number, because the sum of its proper divisors (3455107596025600) is greater than itself. Its abundance is 2125417278995200
Bases of 1329690317030400
- Binary: 1001011100101011000101001110000001000000100000000002
- Hexadecimal: 0x4B958A7020400
- Base-36: D3C3AR68LC
Squares and roots of 1329690317030400
- 1329690317030400 squared (13296903170304002) is 1768076339204405660274524160000
- 1329690317030400 cubed (13296903170304003) is 2350993988010655210918840269406904254464000000
-
The
square root of 1329690317030400 is 36464918.9911399639 -
The
cube root of 1329690317030400 is 109963.9087390165
Scales and comparisons
How big is 1329690317030400?- 1,329,690,317,030,400 seconds is equal to 42,280,039 years, 4 weeks, 21 hours, 20 minutes.
-
To count from 1 to 1,329,690,317,030,400 would take you about one hundred twenty-six million, eight hundred forty thousand, one hundred seventeen 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 1329690317030400 cubic inches would be around 9163.7 feet tall.
Recreational maths with 1329690317030400
- 1329690317030400 backwards is 0040307130969231
- 1329690317030400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1329690317030400's digits is 48
- 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 1329690317030400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 1329690317030400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/1329690317030400/
Chicago style:
Numbermatics. 2024. "Number 1329690317030400 - Facts about the integer". https://numbermatics.com/n/1329690317030400/
The information we have on file for 1329690317030400 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 1329690317030400, math, Factors of 1329690317030400, curriculum, school, college, exams, university, Prime factorization of 1329690317030400, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred twenty-nine trillion, six hundred ninety billion, three hundred seventeen million, thirty thousand, four hundred.