1338829384603681152
1,338,829,384,603,681,152 is an even composite number composed of five prime numbers multiplied together.
1338829384603681152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 1338829384603681152:
27 × 32 × 72 × 13 × 1824455706823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 1824455706823)See below for interesting mathematical facts about the number 1338829384603681152 from the Numbermatics database.
Names of 1338829384603681152
- Cardinal: 1338829384603681152 can be written as One quintillion, three hundred thirty-eight quadrillion, eight hundred twenty-nine trillion, three hundred eighty-four billion, six hundred three million, six hundred eighty-one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.338829384603681152 × 1018
Factors of 1338829384603681152
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1824455706848
Divisors of 1338829384603681152
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 128 144 147 156 168 182 192 196 208 224 234 252 273 288 294 312 336 364 384 392 416 441 448 468 504 546 576 588 624 637 672 728 784 819 832 882 896 936 1008 1092 1152 1176 1248 1274 1344 1456 1568 1638 1664 1764 1872 1911 2016 2184 2352 2496 2548 2688 2912 3136 3276 3528 3744 3822 4032 4368 4704 4992 5096 5733 5824 6272 6552 7056 7488 7644 8064 8736 9408 10192 11466 11648 13104 14112 14976 15288 17472 18816 20384 22932 26208 28224 30576 34944 40768 45864 52416 56448 61152 81536 91728 104832 122304 183456 244608 366912 733824 1824455706823 3648911413646 5473367120469 7297822827292 10946734240938 12771189947761 14595645654584 16420101361407 21893468481876 23717924188699 25542379895522 29191291309168 32840202722814 38313569843283 43786936963752 47435848377398 51084759791044 58382582618336 65680405445628 71153772566097 76627139686566 87573873927504 89398329634327 94871696754796 102169519582088 114940709529849 116765165236672 131360810891256 142307545132194 153254279373132 166025469320893 175147747855008 178796659268654 189743393509592 204339039164176 213461317698291 229881419059698 233530330473344 262721621782512 268194988902981 284615090264388 306508558746264 332050938641786 350295495710016 357593318537308 379486787019184 408678078328352 426922635396582 459762838119396 498076407962679 525443243565024 536389977805962 569230180528776 613017117492528 664101877283572 700590991420032 715186637074616 758973574038368 804584966708943 817356156656704 853845270793164 919525676238792 996152815925358 1050886487130048 1072779955611924 1138460361057552 1162178285246251 1226034234985056 1328203754567144 1430373274149232 1494229223888037 1517947148076736 1609169933417886 1634712313313408 1707690541586328 1839051352477584 1992305631850716 2101772974260096 2145559911223848 2276920722115104 2324356570492502 2452068469970112 2656407509134288 2860746548298464 2988458447776074 3035894296153472 3218339866835772 3415381083172656 3486534855738753 3678102704955168 3984611263701432 4291119822447696 4553841444230208 4648713140985004 4904136939940224 5312815018268576 5721493096596928 5976916895552148 6436679733671544 6830762166345312 6973069711477506 7356205409910336 7969222527402864 8582239644895392 9107682888460416 9297426281970008 10459604567216259 10625630036537152 11442986193193856 11953833791104296 12873359467343088 13661524332690624 13946139422955012 14712410819820672 15938445054805728 17164479289790784 18594852563940016 20919209134432518 21251260073074304 23907667582208592 25746718934686176 27323048665381248 27892278845910024 31876890109611456 34328958579581568 37189705127880032 41838418268865036 47815335164417184 51493437869372352 55784557691820048 63753780219222912 74379410255760064 83676836537730072 95630670328834368 102986875738744704 111569115383640096 148758820511520128 167353673075460144 191261340657668736 223138230767280192 334707346150920288 446276461534560384 669414692301840576 1338829384603681152
- Sum of all divisors σ(n): 4826360393161004880
- Sum of proper divisors (its aliquot sum) s(n): 3487531008557323728
- 1338829384603681152 is an abundant number, because the sum of its proper divisors (3487531008557323728) is greater than itself. Its abundance is 2148701623953642576
Bases of 1338829384603681152
- Binary: 10010100101000111101000111011010111000010100001000001100000002
- Hexadecimal: 0x12947A3B5C284180
- Base-36: A66NEOFEP280
Squares and roots of 1338829384603681152
- 1338829384603681152 squared (13388293846036811522) is 1792464121078271586093571669280047104
- 1338829384603681152 cubed (13388293846036811523) is 2399803636147400568925557997603891712844845782356983808
-
The
square root of 1338829384603681152 is 1157077950.9625447667 -
The
cube root of 1338829384603681152 is 1102152.6399160455
Scales and comparisons
How big is 1338829384603681152?- 1,338,829,384,603,681,152 seconds is equal to 42,570,633,159 years, 10 weeks, 4 days, 19 minutes, 12 seconds.
-
To count from 1 to 1,338,829,384,603,681,152 would take you about one hundred forty-eight billion, nine hundred ninety-seven million, two hundred sixteen thousand and fifty-seven 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 1338829384603681152 cubic inches would be around 91846.1 feet tall.
Recreational maths with 1338829384603681152
- 1338829384603681152 backwards is 2511863064839288331
- The number of decimal digits it has is: 19
- The sum of 1338829384603681152's digits is 81
- More coming soon!
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