13884029400960
13,884,029,400,960 is an even composite number composed of seven prime numbers multiplied together.
13884029400960 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 13884029400960:
27 × 32 × 5 × 31 × 61 × 331 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 61 × 331 × 3851)See below for interesting mathematical facts about the number 13884029400960 from the Numbermatics database.
Names of 13884029400960
- Cardinal: 13884029400960 can be written as Thirteen trillion, eight hundred eighty-four billion, twenty-nine million, four hundred thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.388402940096 × 1013
Factors of 13884029400960
Divisors of 13884029400960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 61 62 64 72 80 90 93 96 120 122 124 128 144 155 160 180 183 186 192 240 244 248 279 288 305 310 320 331 360 366 372 384 465 480 488 496 549 558 576 610 620 640 662 720 732 744 915 930 960 976 992 993 1098 1116 1152 1220 1240 1324 1395 1440 1464 1488 1655 1830 1860 1891 1920 1952 1984 1986 2196 2232 2440 2480 2648 2745 2790 2880 2928 2976 2979 3310 3660 3720 3782 3851 3904 3968 3972 4392 4464 4880 4960 4965 5296 5490 5580 5673 5760 5856 5952 5958 6620 7320 7440 7564 7702 7808 7944 8784 8928 9455 9760 9920 9930 10261 10592 10980 11160 11346 11553 11712 11904 11916 13240 14640 14880 14895 15128 15404 15888 17019 17568 17856 18910 19255 19520 19840 19860 20191 20522 21184 21960 22320 22692 23106 23424 23832 26480 28365 29280 29760 29790 30256 30783 30808 31776 34038 34659 35136 35712 37820 38510 39040 39720 40382 41044 42368 43920 44640 45384 46212 47664 51305 52960 56730 57765 58560 59520 59580 60512 60573 61566 61616 63552 68076 69318 70272 75640 77020 79440 80764 82088 85095 87840 89280 90768 92349 92424 95328 100955 102610 105920 113460 115530 117120 119160 119381 121024 121146 123132 123232 127104 136152 138636 151280 153915 154040 158880 161528 164176 170190 173295 175680 178560 181536 181719 184698 184848 190656 201910 205220 211840 226920 231060 234911 238320 238762 242048 242292 246264 246464 272304 277272 302560 302865 307830 308080 317760 323056 328352 340380 346590 351360 358143 363072 363438 369396 369696 381312 403820 410440 453840 461745 462120 469822 476640 477524 484584 492528 492928 544608 554544 596905 605120 605730 615660 616160 625921 635520 646112 656704 680760 693180 704733 716286 726144 726876 738792 739392 807640 820880 907680 908595 923490 924240 939644 953280 955048 969168 985056 1074429 1089216 1109088 1174555 1193810 1210240 1211460 1231320 1232320 1251842 1274681 1292224 1313408 1361520 1386360 1409466 1432572 1453752 1477584 1478784 1615280 1641760 1790715 1815360 1817190 1846980 1848480 1877763 1879288 1906560 1910096 1938336 1970112 2114199 2148858 2178432 2218176 2349110 2387620 2422920 2462640 2464640 2503684 2549362 2584448 2723040 2772720 2818932 2865144 2907504 2955168 3129605 3230560 3283520 3523665 3581430 3630720 3634380 3693960 3696960 3755526 3758576 3820192 3824043 3876672 3940224 4228398 4297716 4436352 4698220 4775240 4845840 4925280 5007368 5098724 5372145 5446080 5545440 5633289 5637864 5730288 5815008 5910336 6259210 6373405 6461120 6567040 7047330 7162860 7268760 7282241 7387920 7393920 7511052 7517152 7640384 7648086 7753344 8456796 8595432 9388815 9396440 9550480 9691680 9850560 10014736 10197448 10570995 10744290 10892160 11090880 11266578 11275728 11460576 11472129 11630016 11820672 12518420 12746810 12922240 14094660 14325720 14537520 14564482 14775840 15022104 15034304 15280768 15296172 16913592 17190864 18777630 18792880 19100960 19120215 19383360 19701120 20029472 20394896 21141990 21488580 21846723 22181760 22533156 22551456 22921152 22944258 23260032 25036840 25493620 28166445 28189320 28651440 29075040 29128964 29551680 30044208 30068608 30592344 33827184 34381728 36411205 37555260 37585760 38201920 38240430 38766720 39515111 40058944 40789792 42283980 42977160 43693446 45066312 45102912 45842304 45888516 50073680 50987240 56332890 56378640 57302880 57360645 58150080 58257928 59103360 60088416 61184688 65540169 67654368 68763456 72822410 75110520 75171520 76403840 76480860 77755541 79030222 80117888 81579584 84567960 85954320 87386892 90132624 90205824 91777032 100147360 101974480 109233615 112665780 112757280 114605760 114721290 116300160 116515856 118545333 120176832 122369376 131080338 135308736 137526912 145644820 150221040 150343040 152961720 155511082 158060444 163159168 169135920 171908640 174773784 180265248 183554064 197575555 200294720 203948960 218467230 225331560 225514560 229211520 229442580 233031712 233266623 237090666 240353664 244738752 262160676 270617472 291289640 300442080 305923440 311022164 316120888 327700845 338271840 343817280 349547568 355635999 360530496 367108128 388777705 395151110 400589440 407897920 436934460 450663120 451029120 458885160 466063424 466533246 474181332 489477504 524321352 582579280 592726665 600884160 611846880 622044328 632241776 655401690 676543680 687634560 699095136 699799869 711271998 721060992 734216256 777555410 790302220 815795840 873868920 901326240 917770320 932126848 933066492 948362664 1048642704 1165158560 1166333115 1185453330 1201768320 1223693760 1244088656 1264483552 1310803380 1353087360 1398190272 1399599738 1422543996 1468432512 1555110820 1580604440 1747737840 1778179995 1802652480 1835540640 1866132984 1896725328 2097285408 2330317120 2332666230 2370906660 2410421771 2447387520 2488177312 2528967104 2621606760 2796380544 2799199476 2845087992 3110221640 3161208880 3495475680 3498999345 3556359990 3605304960 3671081280 3732265968 3793450656 4194570816 4660634240 4665332460 4741813320 4820843542 4976354624 5057934208 5243213520 5598398952 5690175984 6220443280 6322417760 6990951360 6997998690 7112719980 7231265313 7342162560 7464531936 7586901312 8389141632 9330664920 9483626640 9641687084 9952709248 10486427040 11196797904 11380351968 12052108855 12440886560 12644835520 13981902720 13995997380 14225439960 14462530626 14929063872 15173802624 18661329840 18967253280 19283374168 20972854080 21693795939 22393595808 22760703936 24104217710 24881773120 25289671040 27991994760 28450879920 28925061252 29858127744 36156326565 37322659680 37934506560 38566748336 41945708160 43387591878 44787191616 45521407872 48208435420 49763546240 55983989520 56901759840 57850122504 72312653130 74645319360 75869013120 77133496672 86775183756 89574383232 96416870840 108468979695 111967979040 113803519680 115700245008 144625306260 149290638720 154266993344 173550367512 192833741680 216937959390 223935958080 227607039360 231400490016 289250612520 308533986688 347100735024 385667483360 433875918780 447871916160 462800980032 578501225040 694201470048 771334966720 867751837560 925601960064 1157002450080 1388402940096 1542669933440 1735503675120 2314004900160 2776805880192 3471007350240 4628009800320 6942014700480 13884029400960
- Sum of all divisors σ(n): 50466224240640
- Sum of proper divisors (its aliquot sum) s(n): 36582194839680
- 13884029400960 is an abundant number, because the sum of its proper divisors (36582194839680) is greater than itself. Its abundance is 22698165438720
Bases of 13884029400960
- Binary: 110010100000101000001010001111110111100000002
- Hexadecimal: 0xCA0A0A3F780
- Base-36: 4X68GMOW0
Squares and roots of 13884029400960
- 13884029400960 squared (138840294009602) is 192766272406721696448921600
- 13884029400960 cubed (138840294009603) is 2676372593608388412625155921286004736000
-
The
square root of 13884029400960 is 3726127.9367407663 -
The
cube root of 13884029400960 is 24034.6890736839
Scales and comparisons
How big is 13884029400960?- 13,884,029,400,960 seconds is equal to 441,469 years, 9 weeks, 5 days, 17 hours, 36 minutes.
-
To count from 1 to 13,884,029,400,960 would take you about one million, one hundred three thousand, six hundred seventy-two 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 13884029400960 cubic inches would be around 2002.9 feet tall.
Recreational maths with 13884029400960
- 13884029400960 backwards is 06900492048831
- The number of decimal digits it has is: 14
- The sum of 13884029400960's digits is 54
- More coming soon!
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