12972989172972960
12,972,989,172,972,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 12972989172972960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
12972989172972960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 12972989172972960:
25 × 34 × 5 × 172 × 2292 × 2572
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 17 × 229 × 229 × 257 × 257)See below for interesting mathematical facts about the number 12972989172972960 from the Numbermatics database.
Names of 12972989172972960
- Cardinal: 12972989172972960 can be written as Twelve quadrillion, nine hundred seventy-two trillion, nine hundred eighty-nine billion, one hundred seventy-two million, nine hundred seventy-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.297298917297296 × 1016
Factors of 12972989172972960
Divisors of 12972989172972960
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 80 81 85 90 96 102 108 120 135 136 144 153 160 162 170 180 204 216 229 240 255 257 270 272 288 289 306 324 340 360 405 408 432 458 459 480 510 514 540 544 578 612 648 680 687 720 765 771 810 816 864 867 916 918 1020 1028 1080 1145 1156 1224 1285 1296 1360 1374 1377 1440 1445 1530 1542 1620 1632 1734 1832 1836 2040 2056 2061 2160 2290 2295 2312 2313 2448 2570 2592 2601 2720 2748 2754 2890 3060 3084 3240 3435 3468 3664 3672 3855 3893 4080 4112 4122 4320 4335 4369 4580 4590 4624 4626 4896 5140 5202 5496 5508 5780 6120 6168 6183 6480 6870 6885 6936 6939 7328 7344 7710 7786 7803 8160 8224 8244 8670 8738 9160 9180 9248 9252 10280 10305 10404 10992 11016 11560 11565 11679 12240 12336 12366 12960 13005 13107 13740 13770 13872 13878 14688 15420 15572 15606 16488 17340 17476 18320 18360 18504 18549 19465 20560 20610 20808 20817 21845 21984 22032 23120 23130 23358 23409 24480 24672 24732 26010 26214 27480 27540 27744 27756 30840 30915 31144 31212 32976 34680 34695 34952 35037 36640 36720 37008 37098 38930 39015 39321 41120 41220 41616 41634 43690 44064 46240 46260 46716 46818 49464 52020 52428 52441 54960 55080 55512 58395 58853 61680 61830 62288 62424 65535 65952 66049 66181 69360 69390 69904 70074 73440 74016 74196 74273 77860 78030 78642 82440 83232 83268 87380 92520 92745 93432 93636 98928 104040 104085 104856 104882 105111 109920 110160 111024 116790 117045 117706 117963 123360 123660 124576 124848 131070 132098 132362 138720 138780 139808 140148 148392 148546 155720 156060 157284 157323 164880 166536 174760 175185 176559 185040 185490 186864 187272 196605 197856 198147 198543 208080 208170 209712 209764 210222 220320 222048 222819 233580 234090 235412 235926 247320 249696 262140 262205 264196 264724 277560 280296 294265 296784 297092 311440 312120 314568 314646 315333 329760 330245 330905 333072 349520 350370 353118 353889 370080 370980 371365 373728 374544 393210 396294 397086 416160 416340 419424 419528 420444 445638 467160 468180 470824 471852 471969 494640 524280 524410 525555 528392 529448 529677 555120 560592 588530 589815 593568 594184 594441 595629 622880 624240 629136 629292 630666 660490 661810 666144 668457 699040 700740 706236 707778 741960 742730 749088 786420 786615 792588 794172 832680 839056 840888 882795 891276 891497 934320 936360 941648 943704 943938 989280 990735 992715 1000501 1048560 1048820 1051110 1056784 1058896 1059354 1110240 1114095 1121184 1122833 1177060 1179630 1188368 1188882 1191258 1248480 1258272 1258584 1261332 1320980 1323620 1336914 1401480 1412472 1415556 1415907 1483920 1485460 1572840 1573230 1576665 1585176 1588344 1589031 1665360 1678112 1681776 1765590 1769445 1782552 1782994 1783323 1786887 1868640 1872720 1883296 1887408 1887876 1981470 1985430 2001002 2005371 2097120 2097640 2102220 2113568 2117792 2118708 2228190 2245666 2354120 2359260 2359845 2376736 2377764 2382516 2517168 2522664 2641960 2647240 2648385 2673828 2674491 2802960 2824944 2831112 2831814 2967840 2970920 2972205 2978145 3001503 3145680 3146460 3153330 3170352 3176688 3178062 3330720 3342285 3363552 3368499 3531180 3538890 3565104 3565988 3566646 3573774 3745440 3774816 3775752 3962940 3970860 4002004 4010742 4195280 4204440 4237416 4247721 4456380 4457485 4491332 4708240 4718520 4719690 4755528 4765032 4767093 5002505 5034336 5045328 5283920 5294480 5296770 5347656 5348982 5349969 5360661 5605920 5614165 5649888 5662224 5663628 5941840 5944410 5956290 6003006 6016113 6291360 6292920 6306660 6340704 6353376 6356124 6684570 6736998 7062360 7077780 7079535 7130208 7131976 7133292 7147548 7551504 7925880 7941720 7945155 8004008 8021484 8023473 8390560 8408880 8474832 8495442 8912760 8914970 8916615 8934435 8982664 9004509 9416480 9437040 9439380 9511056 9530064 9534186 10005010 10026855 10090656 10105497 10567840 10588960 10593540 10695312 10697964 10699938 10721322 11228330 11324448 11327256 11883680 11888820 11912580 12006012 12032226 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1180220994630 1246923219240 1258902394272 1261963927332 1402182141480 1402788621645 1413179648472 1416265193556 1484663443920 1496307863088 1573627992840 1577454909165 1589827104531 1662564292320 1666194345360 1682618569776 1766474560590 1770331491945 1869576188640 1870384828860 1884239531296 1888353591408 2002004502002 2098170657120 2103273212220 2119769472708 2244461794632 2355299414120 2360441989260 2493846438480 2523927854664 2649711840885 2804364282960 2805577243290 2826359296944 2832530387112 2969326887840 2992615726176 3003006753003 3147255985680 3154909818330 3179654209062 3332388690720 3365237139552 3532949121180 3540662983890 3740769657720 3776707182816 4004009004004 4206546424440 4239538945416 4488923589264 4710598828240 4720883978520 4769481313593 4987692876960 5005011255005 5047855709328 5299423681770 5608728565920 5611154486580 5652718593888 5665060774224 6006013506006 6294511971360 6309819636660 6359308418124 7065898242360 7081325967780 7481539315440 7949135522655 8008018008008 8413092848880 8479077890832 8977847178528 9009020259009 9421197656480 9441767957040 9538962627186 10010022510010 10095711418656 10598847363540 11222308973160 11330121548448 12012027012012 12619639273320 12718616836248 14131796484720 14162651935560 14963078630880 15015033765015 15898271045310 16016036016016 16826185697760 16958155781664 18018040518018 18883535914080 19077925254372 20020045020020 21197694727080 22444617946320 23847406567965 24024054024024 25239278546640 25437233672496 27027060777027 28263592969440 28325303871120 30030067530030 31796542090620 32032072032032 36036081036036 38155850508744 40040090040040 42395389454160 44889235892640 45045101295045 47694813135930 48048108048048 50478557093280 50874467344992 54054121554054 56650607742240 60060135060060 63593084181240 72072162072072 76311701017488 80080180080080 81081182331081 84790778908320 90090202590090 95389626271860 96096216096096 108108243108108 120120270120120 127186168362480 135135303885135 144144324144144 152623402034976 160160360160160 162162364662162 180180405180180 190779252543720 216216486216216 240240540240240 254372336724960 270270607770270 288288648288288 324324729324324 360360810360360 381558505087440 405405911655405 432432972432432 480481080480480 540541215540540 648649458648648 720721620720720 763117010174880 810811823310810 864865944864864 1081082431081080 1297298917297296 1441443241441440 1621623646621620 2162164862162160 2594597834594592 3243247293243240 4324329724324320 6486494586486480 12972989172972960
- Sum of all divisors σ(n): 49039551383971302
- Sum of proper divisors (its aliquot sum) s(n): 36066562210998342
- 12972989172972960 is an abundant number, because the sum of its proper divisors (36066562210998342) is greater than itself. Its abundance is 23093573038025382
Bases of 12972989172972960
- Binary: 1011100001011011011101011010110101010001111101101000002
- Hexadecimal: 0x2E16DD6B547DA0
- Base-36: 3JQJGY8XM00
Squares and roots of 12972989172972960
- 12972989172972960 squared (129729891729729602) is 168298448082073644674524891161600
- 12972989172972960 cubed (129729891729729603) is 2183333944796893217715121250606441040299790336000
-
The
square root of 12972989172972960 is 113899030.6059404529 -
The
cube root of 12972989172972960 is 234970.5058682145
Scales and comparisons
How big is 12972989172972960?- 12,972,989,172,972,960 seconds is equal to 412,500,927 years, 31 weeks, 5 days, 3 hours, 36 minutes.
-
To count from 1 to 12,972,989,172,972,960 would take you about one billion, two hundred thirty-seven million, five hundred two thousand, seven hundred eighty-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 12972989172972960 cubic inches would be around 19580.9 feet tall.
Recreational maths with 12972989172972960
- 12972989172972960 backwards is 06927927198927921
- 12972989172972960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12972989172972960's digits is 90
- More coming soon!
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"Number 12972989172972960 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 12972989172972960 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/12972989172972960/
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The information we have on file for 12972989172972960 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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