13975131045404000
13,975,131,045,404,000 is an even composite number composed of six prime numbers multiplied together.
13975131045404000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13975131045404000:
25 × 53 × 192 × 312 × 473 × 97
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 31 × 31 × 47 × 47 × 47 × 97)See below for interesting mathematical facts about the number 13975131045404000 from the Numbermatics database.
Names of 13975131045404000
- Cardinal: 13975131045404000 can be written as Thirteen quadrillion, nine hundred seventy-five trillion, one hundred thirty-one billion, forty-five million, four hundred four thousand.
Scientific notation
- Scientific notation: 1.3975131045404 × 1016
Factors of 13975131045404000
Divisors of 13975131045404000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 47 50 62 76 80 94 95 97 100 124 125 152 155 160 188 190 194 200 235 248 250 304 310 361 376 380 388 400 470 475 485 496 500 589 608 620 722 752 760 775 776 800 893 940 950 961 970 992 1000 1175 1178 1240 1444 1457 1504 1520 1550 1552 1786 1805 1843 1880 1900 1922 1940 2000 2209 2350 2356 2375 2425 2480 2888 2914 2945 3007 3040 3100 3104 3572 3610 3686 3760 3800 3844 3875 3880 4000 4418 4465 4559 4700 4712 4750 4805 4850 4960 5776 5828 5875 5890 6014 6200 7144 7220 7285 7372 7520 7600 7688 7750 7760 8836 8930 9025 9118 9215 9400 9424 9500 9610 9700 11045 11191 11552 11656 11750 11780 12028 12125 12400 14288 14440 14570 14725 14744 15035 15200 15376 15500 15520 16967 17672 17860 18050 18236 18259 18430 18800 18848 19000 19220 19400 22090 22325 22382 22795 23312 23500 23560 24025 24056 24250 24800 27683 28576 28880 29140 29450 29488 30070 30752 31000 33934 35017 35344 35720 36100 36425 36472 36518 36860 37600 38000 38440 38800 41971 44180 44650 44764 45125 45167 45590 46075 46624 47000 47120 48050 48112 48500 55225 55366 55955 57133 57760 58280 58900 58976 60140 62000 67868 68479 70034 70688 71440 72200 72850 72944 73036 73625 73720 75175 76000 76880 77600 83942 84835 86621 88360 89300 89528 90250 90334 91180 91295 92150 93217 94000 94240 96100 96224 97000 103823 110450 110732 111625 111910 113975 114266 116560 117800 120125 120280 124000 135736 136958 138415 140068 141329 142880 144400 145700 145888 146072 147250 147440 150350 153760 167884 169670 173242 175085 176720 178600 179056 180500 180668 182125 182360 182590 184300 186434 188000 192200 194000 207646 209855 214273 220900 221464 223250 223820 225835 227950 228532 230375 233120 235600 240250 240560 271472 273916 276125 276830 279775 280136 282658 285665 288800 291400 292144 294500 294880 300700 335768 339340 342395 346484 346921 350170 353440 357200 358112 361000 361336 364250 364720 365180 368600 372868 375875 384400 388000 415292 419710 424175 428546 433105 441800 442928 446500 447640 451670 455900 456475 457064 460750 466085 471200 480500 481120 519115 525977 542944 547832 552250 553660 559550 560272 565316 569875 571330 582800 584288 589000 601400 671536 678680 684790 692075 692968 693842 700340 706645 714400 722000 722672 728500 729440 730360 737200 745736 751750 768800 797449 830584 839420 848350 857092 858173 866210 875425 883600 885856 893000 895280 903340 911800 912950 914128 921500 932170 961000 1038230 1049275 1051954 1071365 1085527 1095664 1104500 1107320 1119100 1120544 1129175 1130632 1139750 1142660 1165600 1178000 1202800 1301101 1343072 1357360 1369580 1384150 1385936 1387684 1398875 1400680 1413290 1428325 1444000 1445344 1457000 1460720 1474400 1491472 1503500 1594898 1645799 1661168 1678840 1696700 1711975 1714184 1716346 1732420 1734605 1750850 1767200 1771123 1786000 1790560 1806680 1823600 1825900 1828256 1843000 1864340 1922000 1972637 2076460 2098550 2103908 2120875 2122849 2142730 2165525 2171054 2191328 2209000 2214640 2238200 2258350 2261264 2279500 2282375 2285320 2330425 2356000 2405600 2595575 2602202 2629885 2685251 2714720 2739160 2768300 2771872 2775368 2797750 2801360 2826580 2856650 2914000 2921440 2982944 3007000 3189796 3218513 3291598 3322336 3357680 3393400 3423950 3428368 3432692 3460375 3464840 3469210 3501700 3533225 3542246 3572000 3613360 3647200 3651800 3686000 3728680 3844000 3945274 3987245 4071187 4152920 4197100 4207816 4241750 4245698 4285460 4290865 4331050 4342108 4377125 4381199 4418000 4429280 4476400 4516700 4522528 4559000 4564750 4570640 4660850 5191150 5204404 5246375 5259770 5356825 5370502 5427635 5478320 5536600 5550736 5595500 5602720 5645875 5653160 5713300 5828000 6014000 6379592 6437026 6505505 6583196 6642463 6715360 6786800 6847900 6856736 6865384 6920750 6929680 6938420 7003400 7066450 7084492 7141625 7226720 7303600 7372000 7457360 7890548 7974490 8142374 8228995 8305840 8394200 8415632 8483500 8491396 8559875 8570920 8581730 8662100 8673025 8684216 8754250 8762398 8836000 8855615 8952800 9033400 9118000 9129500 9141280 9321700 9863185 10070831 10382300 10408808 10492750 10519540 10614245 10713650 10741004 10827625 10855270 10956640 11073200 11101472 11191000 11291750 11306320 11426600 11652125 12028000 12759184 12874052 12977875 13011010 13149425 13166392 13284926 13426255 13573600 13695800 13730768 13841500 13859360 13876840 14006800 14132900 14168984 14283250 14607200 14914720 15781096 15948980 16092565 16284748 16305287 16457990 16611680 16788400 16831264 16967000 16982792 17119750 17141840 17163460 17324200 17346050 17368432 17508500 17524796 17666125 17711230 18066800 18236000 18259000 18643400 19726370 19936225 20141662 20355935 20764600 20817616 20985500 21039080 21228490 21427300 21454325 21482008 21655250 21710540 21905995 22146400 22382000 22583500 22612640 22853200 23304250 24720919 25518368 25748104 25955750 26022020 26298850 26332784 26569852 26784125 26852510 27138175 27391600 27461536 27683000 27753680 28013600 28265800 28337968 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4944183800 4988695150 4995132176 5035415500 5041766375 5048271880 5101976900 5147908825 5204404000 5313970400 5370502000 5384213920 5809415965 5931719459 5996816480 6115174700 6123065248 6130787912 6180229750 6188204240 6243915220 6310339850 6326451356 6377471125 6437026000 6453460960 6522114800 6583196000 6589323296 6642463000 6659422480 6730267400 7084492000 7271139982 7496020600 7582816628 7643968375 7653831560 7663484890 7735255300 7804894025 7824821414 7890548000 7908064195 7981912240 8056664800 8066826200 8142374000 8152643500 8163163040 8236654120 8324278100 8412834250 8491396000 8762398000 9295065544 9370025750 9478520785 9567289450 9591716572 9669069125 9678068591 9784279520 9888367600 9977390300 9990264352 10070831000 10083532750 10096543760 10203953800 10295817650 10405347625 10741004000 11618831930 11863438918 11989645715 12230349400 12261575824 12360459500 12376408480 12471737875 12487830440 12620679700 12652902712 12754942250 12874052000 13044229600 13284926000 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145422799640 148292986475 148671606866 149920412000 151656332560 153076631200 153269697800 154705106000 154849097456 156097880500 156496428280 158161283900 161336524000 164733082400 166485562000 180091894915 181778499550 183883303229 185901310880 189570415700 189815022688 191345789000 191587122250 191834331440 193561371820 195620535350 197701604875 199547806000 204079076000 205916353000 225405339442 232376638600 236963019625 237268778360 239792914300 241951714775 244606988000 249756608800 252413594000 253058054240 288147031864 290470798250 290845599280 296585972950 297343213732 299741142875 303312665120 306539395600 309410212000 309698194912 312195761000 312992856560 316322567800 332971124000 360183789830 363556999100 367766606458 371679017165 379140831400 382691578000 383174244500 383668662880 387122743640 391241070700 395403209750 399095612000 411832706000 450810678884 454446248875 464753277200 473926039250 474537556720 479585828600 483903429550 489051338375 504827188000 563513348605 576294063728 580941596500 581691198560 593171945900 594686427464 599482285750 613078791200 624391522000 625985713120 632645135600 720367579660 727113998200 735533212916 741464932375 743358034330 758281662800 765383156000 766348489000 774245487280 782482141400 790806419500 823665412000 900459474575 901621357768 908892497750 919416516145 929506554400 947852078500 949075113440 959171657200 967806859100 978102676750 1127026697210 1152588127456 1161883193000 1186343891800 1189372854928 1198964571500 1209758573875 1248783044000 1265290271200 1440735159320 1454227996400 1471066425832 1482929864750 1486716068660 1516563325600 1532696978000 1548490974560 1564964282800 1581612839000 1800918949150 1803242715536 1817784995500 1838833032290 1858395085825 1895704157000 1918343314400 1935613718200 1956205353500 2254053394420 2323766386000 2372687783600 2378745709856 2397929143000 2419517147750 2817566743025 2881470318640 2908455992800 2942132851664 2965859729500 2973432137320 3065393956000 3129928565600 3163225678000 3493782761351 3601837898300 3606485431072 3635569991000 3677666064580 3716790171650 3791408314000 3871227436400 3912410707000 4502297372875 4508106788840 4597082580725 4647532772000 4745375567200 4795858286000 4839034295500 5635133486050 5762940637280 5884265703328 5931719459000 5946864274640 6326451356000 6987565522702 7203675796600 7271139982000 7355332129160 7433580343300 7582816628000 7742454872800 7824821414000 9004594745750 9016213577680 9194165161450 9291975429125 9591716572000 9678068591000 11270266972100 11863438918000 11893728549280 13975131045404 14087833715125 14407351593200 14542279964000 14710664258320 14867160686600 15649642828000 17468913806755 18009189491500 18032427155360 18388330322900 18583950858250 19356137182000 22540533944200 22985412903625 23726877836000 27950262090808 28175667430250 28814703186400 29421328516640 29734321373200 34937827613510 36018378983000 36776660645800 37167901716500 38712274364000 45081067888400 45970825807250 55900524181616 56351334860500 59468642746400 69875655227020 72036757966000 73553321291600 74335803433000 87344569033775 90162135776800 91941651614500 111801048363232 112702669721000 139751310454040 144073515932000 147106642583200 148671606866000 174689138067550 183883303229000 225405339442000 279502620908080 297343213732000 349378276135100 367766606458000 436722845168875 450810678884000 559005241816160 698756552270200 735533212916000 873445690337750 1397513104540400 1746891380675500 2795026209080800 3493782761351000 6987565522702000 13975131045404000
- Sum of all divisors σ(n): 38654401981628160
- Sum of proper divisors (its aliquot sum) s(n): 24679270936224160
- 13975131045404000 is an abundant number, because the sum of its proper divisors (24679270936224160) is greater than itself. Its abundance is 10704139890820160
Bases of 13975131045404000
- Binary: 1100011010011001001110110000011010011010011101011000002
- Hexadecimal: 0x31A64EC1A69D60
- Base-36: 3TLRQKL8QJK
Squares and roots of 13975131045404000
- 13975131045404000 squared (139751310454040002) is 195304287736214697909523216000000
- 13975131045404000 cubed (139751310454040003) is 2729403014842889727786105235025288099264000000000
-
The
square root of 13975131045404000 is 118216458.4370721199 -
The
cube root of 13975131045404000 is 240871.4329798961
Scales and comparisons
How big is 13975131045404000?- 13,975,131,045,404,000 seconds is equal to 444,365,939 years, 16 weeks, 6 days, 9 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,975,131,045,404,000 would take you about one billion, three hundred thirty-three million, ninety-seven thousand, eight hundred seventeen 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 13975131045404000 cubic inches would be around 20072.6 feet tall.
Recreational maths with 13975131045404000
- 13975131045404000 backwards is 00040454013157931
- 13975131045404000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13975131045404000's digits is 47
- More coming soon!
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"Number 13975131045404000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 13975131045404000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/13975131045404000/
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The information we have on file for 13975131045404000 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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