1138146378744960
1,138,146,378,744,960 is an even composite number composed of seven prime numbers multiplied together.
1138146378744960 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 1138146378744960:
27 × 32 × 5 × 13 × 53 × 547 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 53 × 547 × 524287)See below for interesting mathematical facts about the number 1138146378744960 from the Numbermatics database.
Names of 1138146378744960
- Cardinal: 1138146378744960 can be written as One quadrillion, one hundred thirty-eight trillion, one hundred forty-six billion, three hundred seventy-eight million, seven hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.13814637874496 × 1015
Factors of 1138146378744960
Divisors of 1138146378744960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 53 60 64 65 72 78 80 90 96 104 106 117 120 128 130 144 156 159 160 180 192 195 208 212 234 240 260 265 288 312 318 320 360 384 390 416 424 468 477 480 520 530 547 576 585 624 636 640 689 720 780 795 832 848 936 954 960 1040 1060 1094 1152 1170 1248 1272 1378 1440 1560 1590 1641 1664 1696 1872 1908 1920 2067 2080 2120 2188 2340 2385 2496 2544 2735 2756 2880 3120 3180 3282 3392 3445 3744 3816 4134 4160 4240 4376 4680 4770 4923 4992 5088 5470 5512 5760 6201 6240 6360 6564 6784 6890 7111 7488 7632 8205 8268 8320 8480 8752 9360 9540 9846 10176 10335 10940 11024 12402 12480 12720 13128 13780 14222 14976 15264 16410 16536 16960 17504 18720 19080 19692 20352 20670 21333 21880 22048 24615 24804 24960 25440 26256 27560 28444 28991 30528 31005 32820 33072 33920 35008 35555 37440 38160 39384 41340 42666 43760 44096 49230 49608 50880 52512 55120 56888 57982 61056 62010 63999 65640 66144 70016 71110 74880 76320 78768 82680 85332 86973 87520 88192 98460 99216 101760 105024 106665 110240 113776 115964 124020 127998 131280 132288 142220 144955 152640 157536 165360 170664 173946 175040 196920 198432 210048 213330 220480 227552 231928 248040 255996 260919 262560 264576 284440 289910 305280 315072 319995 330720 341328 347892 350080 376883 393840 396864 426660 434865 440960 455104 463856 496080 511992 521838 524287 525120 568880 579820 630144 639990 661440 682656 695784 753766 787680 793728 853320 869730 910208 927712 992160 1023984 1043676 1048574 1050240 1130649 1137760 1159640 1279980 1304595 1322880 1365312 1391568 1507532 1572861 1575360 1706640 1739460 1855424 1884415 1984320 2047968 2087352 2097148 2261298 2275520 2319280 2559960 2609190 2621435 2730624 2783136 3015064 3145722 3150720 3391947 3413280 3478920 3710848 3768830 3968640 4095936 4174704 4194296 4522596 4551040 4638560 4718583 5119920 5218380 5242870 5566272 5653245 6030128 6291444 6783894 6815731 6826560 6957840 7537660 7864305 8191872 8349408 8388592 9045192 9277120 9437166 10239840 10436760 10485740 11132544 11306490 12060256 12582888 13567788 13631462 13653120 13915680 15075320 15728610 16698816 16777184 16959735 18090384 18554240 18874332 20447193 20479680 20873520 20971480 22612980 23592915 24120512 25165776 27135576 27262924 27787211 27831360 30150640 31457220 33397632 33554368 33919470 34078655 36180768 37748664 40894386 40959360 41747040 41942960 45225960 47185830 48241024 50331552 54271152 54525848 55574422 55662720 60301280 61341579 62914440 67108736 67838940 68157310 72361536 75497328 81788772 83361633 83494080 83885920 90451920 94371660 100663104 102235965 108542304 109051696 111148844 120602560 122683158 125828880 135677880 136314620 138936055 144723072 150994656 163577544 166723266 166988160 167771840 180903840 188743320 201326208 204471930 217084608 218103392 222297688 241205120 245366316 250084899 251657760 271355760 272629240 277872110 286784989 301989312 306707895 327155088 333446532 335543680 361233743 361807680 377486640 408943860 416808165 434169216 436206784 444595376 490732632 500169798 503315520 542711520 545258480 555744220 573569978 603978624 613415790 654310176 666893064 722467486 723615360 754973280 817887720 833616330 860354967 872413568 889190752 981465264 1000339596 1006631040 1083701229 1085423040 1090516960 1111488440 1147139956 1226831580 1250424495 1308620352 1333786128 1433924945 1444934972 1509946560 1635775440 1667232660 1720709934 1778381504 1806168715 1962930528 2000679192 2167402458 2170846080 2181033920 2222976880 2294279912 2453663160 2500848990 2581064901 2617240704 2667572256 2867849890 2889869944 3019893120 3251103687 3271550880 3334465320 3441419868 3556763008 3612337430 3728204857 3925861056 4001358384 4301774835 4334804916 4362067840 4445953760 4588559824 4907326320 5001697980 5162129802 5335144512 5418506145 5735699780 5779739888 6502207374 6543101760 6668930640 6882839736 7224674860 7456409714 7851722112 8002716768 8603549670 8669609832 8891907520 9177119648 9814652640 10003395960 10324259604 10670289024 10837012290 11184614571 11471399560 11559479776 12905324505 13004414748 13086203520 13337861280 13765679472 14449349720 14912819428 15199604417 16005433536 16255518435 17207099340 17339219664 17783815040 18354239296 18641024285 19629305280 20006791920 20648519208 21674024580 22369229142 22942799120 23118959552 25810649010 26008829496 26675722560 27531358944 28898699440 29825638856 30399208834 32010867072 32511036870 33553843713 34414198680 34678439328 36708478592 37282048570 39258610560 40013583840 41297038416 43348049160 44738458284 45598813251 45885598240 46237919104 51621298020 52017658992 53351445120 55062717888 55923072855 57797398880 59651277712 60798417668 65022073740 67107687426 68828397360 69356878656 74564097140 75998022085 80027167680 82594076832 86696098320 89476916568 91197626502 91771196480 103242596040 104035317984 110125435776 111846145710 115594797760 119302555424 121596835336 130044147480 134215374852 136796439753 137656794720 138713757312 149128194280 151996044170 160054335360 165188153664 167769218565 173392196640 178953833136 182395253004 183542392960 197594857421 206485192080 208070635968 223692291420 227994066255 231189595520 238605110848 243193670672 260088294960 268430749704 273592879506 275313589440 298256388560 303992088340 330376307328 335538437130 346784393280 357907666272 364790506008 395189714842 412970384160 416141271936 447384582840 455988132510 477210221696 486387341344 520176589920 536861499408 547185759012 550627178880 592784572263 596512777120 607984176680 671076874260 683982198765 693568786560 715815332544 729581012016 790379429684 825940768320 894769165680 911976265020 972774682688 987974287105 1040353179840 1073722998816 1094371518024 1185569144526 1193025554240 1215968353360 1342153748520 1367964397530 1431630665088 1459162024032 1580758859368 1651881536640 1778353716789 1789538331360 1823952530040 1945549365376 1975948574210 2080706359680 2147445997632 2188743036048 2371138289052 2386051108480 2431936706720 2684307497040 2735928795060 2918324048064 2963922861315 3161517718736 3556707433578 3579076662720 3647905060080 3951897148420 4294891995264 4377486072096 4742276578104 4863873413440 5368614994080 5471857590120 5836648096128 5927845722630 6323035437472 7113414867156 7158153325440 7295810120160 7903794296840 8754972144192 8891768583945 9484553156208 9727746826880 10737229988160 10943715180240 11855691445260 12646070874944 14226829734312 14591620240320 15807588593680 17509944288384 17783537167890 18969106312416 21474459976320 21887430360480 23711382890520 25292141749888 28453659468624 29183240480640 31615177187360 35567074335780 37938212624832 43774860720960 47422765781040 56907318937248 63230354374720 71134148671560 75876425249664 87549721441920 94845531562080 113814637874496 126460708749440 142268297343120 189691063124160 227629275748992 284536594686240 379382126248320 569073189372480 1138146378744960
- Sum of all divisors σ(n): 4320231853916160
- Sum of proper divisors (its aliquot sum) s(n): 3182085475171200
- 1138146378744960 is an abundant number, because the sum of its proper divisors (3182085475171200) is greater than itself. Its abundance is 2043939096426240
Bases of 1138146378744960
- Binary: 1000000101100100011010110101001101110000100100000002
- Hexadecimal: 0x40B235A9B8480
- Base-36: B7FT87U3K0
Squares and roots of 1138146378744960
- 1138146378744960 squared (11381463787449602) is 1295377179450265936064725401600
- 1138146378744960 cubed (11381463787449603) is 1474328845900180389872116901126413239975936000
-
The
square root of 1138146378744960 is 33736425.1032168495 -
The
cube root of 1138146378744960 is 104407.7428389577
Scales and comparisons
How big is 1138146378744960?- 1,138,146,378,744,960 seconds is equal to 36,189,534 years, 16 weeks, 6 days, 17 hours, 36 minutes.
-
To count from 1 to 1,138,146,378,744,960 would take you about one hundred eight million, five hundred sixty-eight thousand, six hundred 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 1138146378744960 cubic inches would be around 8700.6 feet tall.
Recreational maths with 1138146378744960
- 1138146378744960 backwards is 0694478736418311
- 1138146378744960 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1138146378744960's digits is 72
- More coming soon!
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The information we have on file for 1138146378744960 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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