138993747490748480
138,993,747,490,748,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138993747490748480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
138993747490748480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138993747490748480:
26 × 5 × 11 × 17 × 19 × 201673 × 606181
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 19 × 201673 × 606181)See below for interesting mathematical facts about the number 138993747490748480 from the Numbermatics database.
Names of 138993747490748480
- Cardinal: 138993747490748480 can be written as One hundred thirty-eight quadrillion, nine hundred ninety-three trillion, seven hundred forty-seven billion, four hundred ninety million, seven hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3899374749074848 × 1017
Factors of 138993747490748480
Divisors of 138993747490748480
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 19 20 22 32 34 38 40 44 55 64 68 76 80 85 88 95 110 136 152 160 170 176 187 190 209 220 272 304 320 323 340 352 374 380 418 440 544 608 646 680 704 748 760 836 880 935 1045 1088 1216 1292 1360 1496 1520 1615 1672 1760 1870 2090 2584 2720 2992 3040 3230 3344 3520 3553 3740 4180 5168 5440 5984 6080 6460 6688 7106 7480 8360 10336 11968 12920 13376 14212 14960 16720 17765 20672 25840 28424 29920 33440 35530 51680 56848 59840 66880 71060 103360 113696 142120 201673 227392 284240 403346 568480 606181 806692 1008365 1136960 1212362 1613384 2016730 2218403 2424724 3030905 3226768 3428441 3831787 4033460 4436806 4849448 6061810 6453536 6667991 6856882 7663574 8066920 8873612 9698896 10305077 11092015 11517439 12123620 12907072 13335982 13713764 15327148 16133840 17142205 17747224 19158935 19397792 20610154 22184030 23034878 24247240 26671964 27427528 30654296 32267680 33339955 34284410 35494448 37712851 38317870 38795584 41220308 42149657 44368060 46069756 48494480 51525385 53343928 54855056 57587195 61308592 64535360 65140379 66679910 68568820 70988896 75425702 76635740 82440616 84299314 88736120 92139512 96988960 103050770 106687856 109710112 113355847 115174390 122617184 126691829 130280758 133359820 137137640 141977792 150851404 153271480 164881232 168598628 177472240 184279024 188564255 193977920 195796463 206101540 210748285 213375712 219420224 226711694 230348780 245234368 253383658 260561516 266719640 274275280 301702808 306542960 325701895 329762464 337197256 354944480 368558048 377128510 391592926 412203080 421496570 426751424 453423388 460697560 506767316 521123032 533439280 548550560 566779235 603405616 613085920 633459145 651403790 659524928 674394512 709888960 716544169 737116096 754257020 783185852 824406160 842993140 906846776 921395120 978982315 1013534632 1042246064 1066878560 1097101120 1133558470 1206811232 1226171840 1266918290 1302807580 1348789024 1433088338 1508514040 1566371704 1648812320 1685986280 1813693552 1842790240 1957964630 2027069264 2084492128 2133757120 2153761093 2267116940 2413622464 2533836580 2605615160 2697578048 2866176676 3017028080 3132743408 3297624640 3371972560 3582720845 3627387104 3685580480 3915929260 4054138528 4168984256 4307522186 4534233880 5067673160 5211230320 5732353352 6034056160 6265486816 6743945120 7165441690 7254774208 7831858520 8108277056 8615044372 9068467760 10135346320 10422460640 10768805465 11464706704 12068112320 12530973632 13487890240 14330883380 15663717040 17230088744 18136935520 20270692640 20844921280 21537610930 22929413408 28661766760 31327434080 34460177488 36273871040 40541385280 43075221860 45858826816 57323533520 62654868160 68920354976 86150443720 114647067040 122250340813 137840709952 172300887440 229294134080 244500681626 344601774880 489001363252 611251704065 689203549760 978002726504 1222503408130 1344753748943 1956005453008 2078255793821 2322756475447 2445006816260 2689507497886 3912010906016 4156511587642 4645512950894 4890013632520 5379014995772 6723768744715 7824021812032 8313023175284 9291025901788 9780027265040 10391278969105 10758029991544 11613782377235 13447537489430 16626046350568 18582051803576 19560054530080 20782557938210 21516059983088 22860813732031 23227564754470 25550321229917 26895074978860 33252092701136 37164103607152 39120109060160 39486860082599 41565115876420 43032119966176 45721627464062 46455129508940 51100642459834 53790149957720 66504185402272 74328207214304 78973720165198 83130231752840 86064239932352 91443254928124 92910259017880 102201284919668 107580299915440 114304068660155 127751606149585 133008370804544 148656414428608 157947440330396 166260463505680 182886509856248 185820518035760 197434300412995 204402569839336 215160599830880 228608137320310 255503212299170 315894880660792 332520927011360 365773019712496 371641036071520 394868600825990 408805139678672 430321199661760 434355460908589 457216274640620 511006424598340 631789761321584 665041854022720 731546039424992 743282072143040 789737201651980 817610279357344 868710921817178 914432549281240 1022012849196680 1263579522643168 1463092078849984 1579474403303960 1635220558714688 1737421843634356 1828865098562480 2044025698393360 2171777304542945 2527159045286336 3158948806607920 3474843687268712 3657730197124960 4088051396786720 4343554609085890 6317897613215840 6949687374537424 7315460394249920 8176102793573440 8687109218171780 12635795226431680 13899374749074848 17374218436343560 27798749498149696 34748436872687120 69496873745374240 138993747490748480
- Sum of all divisors σ(n): 402431221231269120
- Sum of proper divisors (its aliquot sum) s(n): 263437473740520640
- 138993747490748480 is an abundant number, because the sum of its proper divisors (263437473740520640) is greater than itself. Its abundance is 124443726249772160
Bases of 138993747490748480
- Binary: 1111011011100111000010011101100010010111110111000010000002
- Hexadecimal: 0x1EDCE13B12FB840
- Base-36: 120L663JS20W
Squares and roots of 138993747490748480
- 138993747490748480 squared (1389937474907484802) is 19319261841521949380343190622310400
- 138993747490748480 cubed (1389937474907484803) is 2685256602108154310567125755570546969317882888192000
-
The
square root of 138993747490748480 is 372818652.2838529867 -
The
cube root of 138993747490748480 is 518002.3795634497
Scales and comparisons
How big is 138993747490748480?- 138,993,747,490,748,480 seconds is equal to 4,419,571,234 years, 16 weeks, 3 days, 1 hour, 41 minutes, 20 seconds.
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To count from 1 to 138,993,747,490,748,480 would take you about thirteen billion, two hundred fifty-eight million, seven hundred thirteen thousand, seven 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 138993747490748480 cubic inches would be around 43166.9 feet tall.
Recreational maths with 138993747490748480
- 138993747490748480 backwards is 084847094747399831
- 138993747490748480 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138993747490748480's digits is 95
- More coming soon!
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The information we have on file for 138993747490748480 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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