13932041223384960
13,932,041,223,384,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13932041223384960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13932041223384960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13932041223384960:
27 × 3 × 5 × 132 × 37 × 16381 × 70841
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 37 × 16381 × 70841)See below for interesting mathematical facts about the number 13932041223384960 from the Numbermatics database.
Names of 13932041223384960
- Cardinal: 13932041223384960 can be written as Thirteen quadrillion, nine hundred thirty-two trillion, forty-one billion, two hundred twenty-three million, three hundred eighty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.393204122338496 × 1016
Factors of 13932041223384960
Divisors of 13932041223384960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 37 39 40 48 52 60 64 65 74 78 80 96 104 111 120 128 130 148 156 160 169 185 192 195 208 222 240 260 296 312 320 338 370 384 390 416 444 480 481 507 520 555 592 624 640 676 740 780 832 845 888 960 962 1014 1040 1110 1184 1248 1352 1443 1480 1560 1664 1690 1776 1920 1924 2028 2080 2220 2368 2405 2496 2535 2704 2886 2960 3120 3380 3552 3848 4056 4160 4440 4736 4810 4992 5070 5408 5772 5920 6240 6253 6760 7104 7215 7696 8112 8320 8880 9620 10140 10816 11544 11840 12480 12506 13520 14208 14430 15392 16224 16381 17760 18759 19240 20280 21632 23088 23680 24960 25012 27040 28860 30784 31265 32448 32762 35520 37518 38480 40560 46176 49143 50024 54080 57720 61568 62530 64896 65524 70841 71040 75036 76960 81120 81905 92352 93795 98286 100048 108160 115440 125060 131048 141682 150072 153920 162240 163810 184704 187590 196572 200096 212523 212953 230880 245715 250120 262096 283364 300144 307840 324480 327620 354205 375180 393144 400192 425046 425906 461760 491430 500240 524192 566728 600288 606097 638859 655240 708410 750360 786288 800384 850092 851812 920933 923520 982860 1000480 1048384 1062615 1064765 1133456 1200576 1212194 1277718 1310480 1416820 1500720 1572576 1700184 1703624 1818291 1841866 1965720 2000960 2096768 2125230 2129530 2266912 2401152 2424388 2555436 2620960 2621117 2762799 2768389 2833640 3001440 3030485 3145152 3194295 3400368 3407248 3636582 3683732 3931440 4001920 4250460 4259060 4533824 4604665 4848776 5110872 5241920 5242234 5525598 5536778 5667280 6002880 6060970 6290304 6388590 6800736 6814496 7273164 7367464 7862880 7863351 7879261 8305167 8500920 8518120 9067648 9091455 9209330 9697552 10221744 10483840 10484468 11051196 11073556 11334560 11972129 12005760 12121940 12777180 13105585 13601472 13628992 13813995 13841945 14546328 14734928 15725760 15726702 15758522 16610334 17001840 17036240 18182910 18418660 19395104 20443488 20968936 22102392 22147112 22669120 23637783 23944258 24243880 25554360 26211170 27202944 27257984 27627990 27683890 29092656 29469856 31451520 31453404 31517044 33220668 34003680 34072480 34074521 35916387 36365820 36837320 38790208 39316755 39396305 40886976 41525835 41937872 44204784 44294224 45338240 47275566 47888516 48487760 51108720 52422340 55255980 55367780 58185312 58939712 59860645 62906808 63034088 66441336 68007360 68144960 68149042 71832774 72731640 73674640 77580416 78633510 78792610 81773952 83051670 83875744 88409568 88588448 94551132 95777032 96975520 102217440 102223563 102430393 104844680 110511960 110735560 116370624 117879424 118188915 119721290 125813616 126068176 132882672 136014720 136289920 136298084 143665548 145463280 147349280 157267020 157585220 166103340 167751488 170372605 176819136 177176896 179581935 189102264 191554064 193951040 204434880 204447126 204860786 209689360 221023920 221471120 232741248 236377830 239442580 251627232 252136352 265765344 272596168 287331096 290926560 294698560 307291179 314534040 315170440 332206680 335502976 340745210 353638272 354353792 359163870 378204528 383108128 387902080 408869760 408894252 409721572 419378720 442047840 442942240 442968773 472755660 478885160 503254464 504272704 511117815 512151965 531530688 545192336 574662192 581853120 589397120 614582358 629068080 630340880 664413360 681490420 718327740 756409056 766216256 817788504 819443144 838757440 884095680 885884480 885937546 945511320 957770320 1006508928 1008545408 1022235630 1024303930 1063061376 1090384672 1149324384 1160446421 1163706240 1229164716 1258136160 1260681760 1328826720 1328906319 1362980840 1436655480 1512818112 1532432512 1536455895 1635577008 1638886288 1677514880 1768191360 1771768960 1771875092 1891022640 1915540640 2044471260 2048607860 2180769344 2214843865 2298648768 2320892842 2458329432 2516272320 2521363520 2657653440 2657812638 2725961680 2873310960 3025636224 3072911790 3271154016 3277772576 3481339263 3543750184 3782045280 3831081280 4088942520 4097215720 4361538688 4429687730 4597297536 4641785684 4916658864 5032544640 5042727040 5315306880 5315625276 5451923360 5746621920 5802232105 6145823580 6542308032 6555545152 6644531595 6962678526 7087500368 7564090560 7662162560 8177885040 8194431440 8859375460 9283571368 9833317728 10631250552 10903846720 11493243840 11604464210 12291647160 13084616064 13111090304 13289063190 13925357052 14175000736 15085803473 15128181120 16355770080 16388862880 17406696315 17718750920 18567142736 19666635456 21262501104 21807693440 22986487680 23208928420 24583294320 26578126380 27850714104 28350001472 30171606946 32711540160 32777725760 34813392630 35437501840 37134285472 39333270912 42525002208 42936517577 45257410419 46417856840 49166588640 53156252760 55701428208 56700002944 60343213892 65423080320 65555451520 69626785260 70875003680 74268570944 75429017365 85050004416 85873035154 90514820838 92835713680 98333177280 106312505520 111402856416 120686427784 128809552731 139253570520 141750007360 148537141888 150858034730 170100008832 171746070308 181029641676 185671427360 196115445149 196666354560 212625011040 214682587885 222805712832 226287052095 241372855568 257619105462 278507141040 283500014720 301716069460 343492140616 362059283352 371342854720 392230890298 425250022080 429365175770 445611425664 452574104190 482745711136 515238210924 557014282080 558174728501 588346335447 603432138920 644047763655 686984281232 724118566704 742685709440 784461780596 850500044160 858730351540 905148208380 965491422272 980577225745 1030476421848 1114028564160 1116349457002 1176692670894 1206864277840 1288095527310 1373968562464 1448237133408 1568923561192 1674524185503 1717460703080 1810296416760 1930982844544 1961154451490 2060952843696 2228057128320 2232698914004 2353385341788 2413728555680 2576191054620 2747937124928 2790873642505 2896474266816 2941731677235 3137847122384 3349048371006 3434921406160 3620592833520 3922308902980 4121905687392 4465397828008 4706770683576 4827457111360 5152382109240 5495874249856 5581747285010 5792948533632 5883463354470 6275694244768 6698096742012 6869842812320 7241185667040 7256271470513 7844617805960 8243811374784 8372620927515 8930795656016 9413541367152 9654914222720 10304764218480 11163494570020 11766926708940 12551388489536 13396193484024 13739685624640 14482371334080 14512542941026 15689235611920 16487622749568 16745241855030 17861591312032 18827082734304 20609528436960 21768814411539 22326989140040 23533853417880 25102776979072 26792386968048 27479371249280 28964742668160 29025085882052 31378471223840 33490483710060 35723182624064 36281357352565 37654165468608 41219056873920 43537628823078 44653978280080 47067706835760 53584773936096 58050171764104 62756942447680 66980967420120 71446365248128 72562714705130 75308330937216 82438113747840 87075257646156 89307956560160 94135413671520 107169547872192 108844072057695 116100343528208 125513884895360 133961934840240 145125429410260 174150515292312 178615913120320 188270827343040 214339095744384 217688144115390 232200687056416 267923869680480 290250858820520 348301030584624 357231826240640 376541654686080 435376288230780 464401374112832 535847739360960 580501717641040 696602061169248 870752576461560 928802748225664 1071695478721920 1161003435282080 1393204122338496 1741505152923120 2322006870564160 2786408244676992 3483010305846240 4644013741128320 6966020611692480 13932041223384960
- Sum of all divisors σ(n): 49390547877501120
- Sum of proper divisors (its aliquot sum) s(n): 35458506654116160
- 13932041223384960 is an abundant number, because the sum of its proper divisors (35458506654116160) is greater than itself. Its abundance is 21526465430731200
Bases of 13932041223384960
- Binary: 1100010111111100011110001000000001110110101111100000002
- Hexadecimal: 0x317F1E201DAF80
- Base-36: 3T6HVDPRBEO
Squares and roots of 13932041223384960
- 13932041223384960 squared (139320412233849602) is 194101772650097892907560354201600
- 13932041223384960 cubed (139320412233849603) is 2704233898093259217372951867950866886510247936000
-
The
square root of 13932041223384960 is 118034068.0625088005 -
The
cube root of 13932041223384960 is 240623.6167500525
Scales and comparisons
How big is 13932041223384960?- 13,932,041,223,384,960 seconds is equal to 442,995,816 years, 14 weeks, 12 hours, 16 minutes.
-
To count from 1 to 13,932,041,223,384,960 would take you about one billion, three hundred twenty-eight million, nine hundred eighty-seven thousand, four hundred forty-eight 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 13932041223384960 cubic inches would be around 20052 feet tall.
Recreational maths with 13932041223384960
- 13932041223384960 backwards is 06948332214023931
- 13932041223384960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13932041223384960's digits is 60
- More coming soon!
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The information we have on file for 13932041223384960 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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