381438684345984
381,438,684,345,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 381438684345984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
381438684345984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 381438684345984:
27 × 3 × 193 × 29 × 41 × 3492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 19 × 19 × 29 × 41 × 349 × 349)See below for interesting mathematical facts about the number 381438684345984 from the Numbermatics database.
Names of 381438684345984
- Cardinal: 381438684345984 can be written as Three hundred eighty-one trillion, four hundred thirty-eight billion, six hundred eighty-four million, three hundred forty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.81438684345984 × 1014
Factors of 381438684345984
Divisors of 381438684345984
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 29 32 38 41 48 57 58 64 76 82 87 96 114 116 123 128 152 164 174 192 228 232 246 304 328 348 349 361 384 456 464 492 551 608 656 696 698 722 779 912 928 984 1047 1083 1102 1189 1216 1312 1392 1396 1444 1558 1653 1824 1856 1968 2094 2166 2204 2337 2378 2432 2624 2784 2792 2888 3116 3306 3567 3648 3712 3936 4188 4332 4408 4674 4756 5248 5568 5584 5776 6232 6612 6631 6859 7134 7296 7872 8376 8664 8816 9348 9512 10121 10469 11136 11168 11552 12464 13224 13262 13718 14268 14309 14801 15744 16752 17328 17632 18696 19024 19893 20242 20577 20938 22336 22591 23104 24928 26448 26524 27436 28536 28618 29602 30363 31407 33504 34656 35264 37392 38048 39786 40484 41154 41876 42927 44403 44672 45182 46208 49856 52896 53048 54872 57072 57236 59204 60726 62814 67008 67773 69312 70528 74784 76096 79572 80968 82308 83752 85854 88806 90364 99712 105792 106096 109744 114144 114472 118408 121452 121801 125628 125989 134016 135546 138624 149568 152192 159144 161936 164616 167504 171708 177612 180728 192299 198911 211584 212192 219488 228288 228944 236816 242904 243602 251256 251978 271092 271871 281219 299136 318288 323872 329232 335008 343416 355224 361456 365403 377967 384598 397822 414961 424384 429229 438976 456576 457888 473632 485808 487204 502512 503956 542184 543742 562438 576897 596733 636576 647744 658464 670016 686832 710448 722912 730806 755934 769196 795644 815613 829922 843657 848768 858458 877952 915776 947264 971616 974408 1005024 1007912 1084368 1087484 1124876 1153794 1193466 1244883 1273152 1287687 1295488 1316928 1340032 1373664 1420896 1445824 1461612 1511868 1538392 1591288 1631226 1659844 1687314 1716916 1831552 1894528 1943232 1948816 2010048 2015824 2168736 2174968 2249752 2307588 2314219 2386932 2393791 2489766 2546304 2575374 2633856 2747328 2841792 2891648 2923224 3023736 3076784 3182576 3262452 3319688 3374628 3433832 3532229 3653681 3886464 3897632 4020096 4031648 4337472 4349936 4499504 4615176 4628438 4773864 4787582 4979532 4993841 5150748 5165549 5494656 5683584 5846448 6047472 6153568 6365152 6524904 6639376 6749256 6867664 6942657 7064458 7181373 7307362 7795264 7884259 8063296 8155351 8674944 8699872 8999008 9230352 9256876 9547728 9575164 9959064 9987682 10301496 10331098 10596687 10961043 11692896 12094944 12307136 12730304 13049808 13278752 13498512 13735328 13885314 14128916 14362746 14614724 14981523 15496647 15590528 15768518 16126592 16310702 17399744 17998016 18460704 18513752 19095456 19150328 19918128 19975364 20602992 20662196 21193374 21922086 23385792 23652777 24189888 24466053 24614272 25460608 26099616 26557504 26997024 27470656 27770628 28257832 28725492 29229448 29963046 30993294 31537036 32621404 34799488 35996032 36921408 37027504 38190912 38300656 39836256 39950728 41205984 41324392 42386748 43844172 43970161 46771584 47305554 48379776 48932106 52199232 53115008 53994048 54941312 55541256 56515664 57450984 58458896 59926092 61986588 63074072 65242808 67112351 69419939 73842816 74055008 76381824 76601312 79672512 79901456 82411968 82648784 84773496 87688344 87940322 94611108 94882979 97864212 98145431 104398464 107988096 111082512 113031328 114901968 116917792 119852184 123973176 126148144 130485616 131910483 134224702 138839878 144821389 148110016 149800921 153202624 159345024 159802912 164823936 165297568 169546992 175376688 175880644 189222216 189765958 195728424 196290862 201337053 208259817 222165024 226062656 229803936 233835584 239704368 247946352 252296288 260971232 263820966 268449404 277679756 284648937 289642778 294436293 296220032 299601842 306405248 319605824 330595136 339093984 350753376 351761288 378444432 379531916 391456848 392581724 402674106 416519634 434464167 444330048 449402763 452125312 459607872 467671168 479408736 495892704 504592576 521942464 527641932 536898808 555359512 569297874 579285556 588872586 599203684 639211648 661190272 678187968 701506752 703522576 756888864 759063832 782913696 785163448 805348212 833039268 835433059 868928334 888660096 898805526 919215744 958817472 991785408 1009185152 1043884928 1055283864 1073797616 1110719024 1138595748 1158571112 1177745172 1198407368 1275134669 1356375936 1403013504 1407045152 1513777728 1518127664 1565827392 1570326896 1610696424 1666078536 1670866118 1737856668 1797611052 1802776601 1917634944 1983570816 2110567728 2147595232 2221438048 2277191496 2317142224 2355490344 2396814736 2506299177 2550269338 2751606391 2814090304 2846217499 3027555456 3036255328 3131654784 3140653792 3221392848 3332157072 3341732236 3475713336 3595222104 3605553202 3825404007 4221135456 4295190464 4442876096 4554382992 4634284448 4710980688 4793629472 5012598354 5100538676 5408329803 5503212782 5628180608 5692434998 6072510656 6281307584 6442785696 6664314144 6683464472 6951426672 7190444208 7211106404 7650808014 8254819173 8442270912 8538652497 8590380928 8885752192 9108765984 9268568896 9421961376 9587258944 10025196708 10201077352 10816659606 11006425564 11384869996 12145021312 12562615168 12885571392 13328628288 13366928944 13902853344 14380888416 14422212808 15301616028 16509638346 16884541824 17077304994 18217531968 18537137792 18843922752 19174517888 20050393416 20402154704 21633319212 22012851128 22769739992 24227558711 25771142784 26657256576 26733857888 27805706688 28761776832 28844425616 30603232056 33019276692 34154609988 34252755419 36435063936 37687845504 40100786832 40804309408 43266638424 44025702256 45539479984 48455117422 52280521429 53467715776 55611413376 57523553664 57688851232 61206464112 66038553384 68309219976 68505510838 72682676133 80201573664 81608618816 86533276848 88051404512 91078959968 96910234844 102758266257 104561042858 106935431552 115377702464 122412928224 132077106768 136618439952 137011021676 145365352266 156841564287 160403147328 163217237632 173066553696 176102809024 182157919936 193820469688 205516532514 209122085716 230755404928 244825856448 264154213536 273236879904 274022043352 290730704532 313683128574 320806294656 346133107392 352205618048 364315839872 387640939376 411033065028 418244171432 489651712896 528308427072 546473759808 548044086704 581461409064 627366257148 692266214784 775281878752 822066130056 836488342864 993329907151 1056616854144 1092947519616 1096088173408 1162922818128 1254732514296 1550563757504 1644132260112 1672976685728 1986659814302 2192176346816 2325845636256 2509465028592 2979989721453 3101127515008 3288264520224 3345953371456 3973319628604 4384352693632 4651691272512 5018930057184 5959979442906 6576529040448 6691906742912 7946639257208 9303382545024 10037860114368 11919958885812 13153058080896 15893278514416 20075720228736 23839917771624 31786557028832 47679835543248 63573114057664 95359671086496 127146228115328 190719342172992 381438684345984
- Sum of all divisors σ(n): 1136596488048000
- Sum of proper divisors (its aliquot sum) s(n): 755157803702016
- 381438684345984 is an abundant number, because the sum of its proper divisors (755157803702016) is greater than itself. Its abundance is 373719119356032
Bases of 381438684345984
- Binary: 10101101011101010100111010100100010110110100000002
- Hexadecimal: 0x15AEA9D48B680
- Base-36: 3R7IIG7D6O
Squares and roots of 381438684345984
- 381438684345984 squared (3814386843459842) is 145495469915595219409816928256
- 381438684345984 cubed (3814386843459843) is 55497600622905336231649122187177155209723904
-
The
square root of 381438684345984 is 19530455.3030896851 -
The
cube root of 381438684345984 is 72522.8582284957
Scales and comparisons
How big is 381438684345984?- 381,438,684,345,984 seconds is equal to 12,128,570 years, 15 weeks, 2 days, 8 hours, 6 minutes, 24 seconds.
-
To count from 1 to 381,438,684,345,984 would take you about thirty million, three hundred twenty-one thousand, four hundred twenty-five 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 381438684345984 cubic inches would be around 6043.6 feet tall.
Recreational maths with 381438684345984
- 381438684345984 backwards is 489543486834183
- The number of decimal digits it has is: 15
- The sum of 381438684345984's digits is 78
- More coming soon!
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The information we have on file for 381438684345984 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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