13388474114301357600
13,388,474,114,301,357,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13388474114301357600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
13388474114301357600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13388474114301357600:
25 × 3 × 52 × 19 × 612 × 2572 × 10932
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 61 × 61 × 257 × 257 × 1093 × 1093)See below for interesting mathematical facts about the number 13388474114301357600 from the Numbermatics database.
Names of 13388474114301357600
- Cardinal: 13388474114301357600 can be written as Thirteen quintillion, three hundred eighty-eight quadrillion, four hundred seventy-four trillion, one hundred fourteen billion, three hundred one million, three hundred fifty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.33884741143013576 × 1019
Factors of 13388474114301357600
Divisors of 13388474114301357600
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 61 75 76 80 95 96 100 114 120 122 150 152 160 183 190 200 228 240 244 257 285 300 304 305 366 380 400 456 475 480 488 514 570 600 608 610 732 760 771 800 912 915 950 976 1028 1093 1140 1159 1200 1220 1285 1425 1464 1520 1525 1542 1824 1830 1900 1952 2056 2186 2280 2318 2400 2440 2570 2850 2928 3040 3050 3084 3279 3477 3660 3721 3800 3855 4112 4372 4560 4575 4636 4880 4883 5140 5465 5700 5795 5856 6100 6168 6425 6558 6954 7320 7442 7600 7710 8224 8744 9120 9150 9272 9760 9766 10280 10930 11163 11400 11590 12200 12336 12850 13116 13908 14640 14649 14884 15200 15420 15677 16395 17385 17488 18300 18544 18605 19275 19532 20560 20767 21860 22326 22800 23180 24400 24415 24672 25700 26232 27325 27816 28975 29280 29298 29768 30840 31354 32790 34770 34976 36600 37088 37210 38550 39064 41120 41534 43720 44652 45600 46360 47031 48800 48830 51400 52464 54650 55632 55815 57950 58596 59536 61680 62301 62708 65580 66049 66673 69540 70699 73200 73245 74420 77100 78128 78385 81975 83068 86925 87440 89304 92720 93025 94062 97660 102800 103835 104928 109300 111264 111630 115900 117192 119072 122075 123360 124602 125416 131160 132098 133346 139080 141398 146400 146490 148840 154200 156256 156770 163950 166136 173850 174880 178608 185440 186050 188124 195320 198147 200019 205600 207670 212097 218600 223260 231800 234384 235155 244150 249204 250832 262320 264196 266692 278160 279075 280901 282796 292980 297680 297863 308400 311505 313540 327900 330245 332272 333365 347700 353495 357216 366225 372100 376248 390640 391925 396294 400038 415340 424194 437200 446520 463600 468768 470310 488300 498408 501664 519175 524640 528392 533384 556320 558150 561802 565592 585960 595360 595726 616800 623010 627080 655800 660490 664544 666730 695400 706990 732450 744200 752496 781280 783850 792588 800076 830680 842703 848388 874400 893040 893589 927200 940620 956297 976600 990735 996816 1000095 1038350 1056784 1060485 1066768 1116300 1123604 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816619342134880 854020164208800 868253833612280 880820665414563 899521238531400 913951403802400 914513259173590 962645535972200 1020774177668600 1041904600334736 1085317292015350 1097415911008308 1155174643166640 1174427553886084 1199361651375200 1224929013202320 1302380750418420 1370927105703600 1371769888760385 1443968303958300 1463221214677744 1468034442357605 1531161266502900 1627975938023025 1736507667224560 1761641330829126 1799042477062800 1829026518347180 1925291071944400 2041548355337200 2083809200669472 2170634584030700 2194831822016616 2286283147933975 2310349286333280 2348855107772168 2449858026404640 2604761500836840 2741854211407200 2743539777520770 2887936607916600 2926442429355488 2936068884715210 3062322533005800 3255951876046050 3473015334449120 3523282661658252 3598084954125600 3658053036694360 3850582143888800 4083096710674400 4341269168061400 4389663644033232 4404103327072815 4572566295867950 4697710215544336 5209523001673680 5487079555041540 5578530880958899 5775873215833200 5872137769430420 6124645066011600 6511903752092100 6858849443801925 7046565323316504 7316106073388720 7340172211788025 8682538336122800 8779327288066464 8808206654145630 9145132591735900 9395420431088672 10419046003347360 10974159110083080 11157061761917798 11551746431666400 11744275538860840 12249290132023200 13023807504184200 13717698887603850 14093130646633008 14632212146777440 14680344423576050 16735592642876697 17365076672245600 17616413308291260 18290265183471800 21948318220166160 22020516635364075 22314123523835596 23488551077721680 26047615008368400 27435397775207700 27892654404794495 28186261293266016 29360688847152100 33471185285753394 35232826616582520 36580530366943600 43896636440332320 44041033270728150 44628247047671192 46977102155443360 52095230016736800 54870795550415400 55785308809588990 58721377694304200 66942370571506788 70465653233165040 73161060733887200 83677963214383485 88082066541456300 89256494095342384 109741591100830800 111570617619177980 117442755388608400 133884741143013576 139463272023972475 140931306466330080 167355926428766970 176164133082912600 178512988190684768 219483182201661600 223141235238355960 234885510777216800 267769482286027152 278926544047944950 334711852857533940 352328266165825200 418389816071917425 446282470476711920 535538964572054304 557853088095889900 669423705715067880 704656532331650400 836779632143834850 892564940953423840 1115706176191779800 1338847411430135760 1673559264287669700 2231412352383559600 2677694822860271520 3347118528575339400 4462824704767119200 6694237057150678800 13388474114301357600
- Sum of all divisors σ(n): 46862537161142167920
- Sum of proper divisors (its aliquot sum) s(n): 33474063046840810320
- 13388474114301357600 is an abundant number, because the sum of its proper divisors (33474063046840810320) is greater than itself. Its abundance is 20085588932539452720
Bases of 13388474114301357600
- Binary: 10111001110011010110101001000101100100110111000111101110001000002
- Hexadecimal: 0xB9CD6A459371EE20
- Base-36: 2TPW9Z6DLA7MO
Squares and roots of 13388474114301357600
- 13388474114301357600 squared (133884741143013576002) is 179251239109317521849405149203077760000
- 13388474114301357600 cubed (133884741143013576003) is 2399900574771540780702400312426198616080586066366976000000
-
The
square root of 13388474114301357600 is 3659026388.8500937675 -
The
cube root of 13388474114301357600 is 2374526.5384140731
Scales and comparisons
How big is 13388474114301357600?- 13,388,474,114,301,357,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,388,474,114,301,357,600 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13388474114301357600 cubic inches would be around 197877.2 feet tall.
Recreational maths with 13388474114301357600
- 13388474114301357600 backwards is 00675310341147488331
- The number of decimal digits it has is: 20
- The sum of 13388474114301357600's digits is 69
- More coming soon!
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"Number 13388474114301357600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13388474114301357600 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13388474114301357600/
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Numbermatics. 2024. "Number 13388474114301357600 - Facts about the integer". https://numbermatics.com/n/13388474114301357600/
The information we have on file for 13388474114301357600 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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