13138305024000
13,138,305,024,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13138305024000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2176 divisors.
13138305024000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred seventy-six divisors.
Prime factorization of 13138305024000:
216 × 3 × 53 × 13 × 17 × 41 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 41 × 59)See below for interesting mathematical facts about the number 13138305024000 from the Numbermatics database.
Names of 13138305024000
- Cardinal: 13138305024000 can be written as Thirteen trillion, one hundred thirty-eight billion, three hundred five million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.3138305024 × 1013
Factors of 13138305024000
Divisors of 13138305024000
- Number of divisors d(n): 2176
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 41 48 50 51 52 59 60 64 65 68 75 78 80 82 85 96 100 102 104 118 120 123 125 128 130 136 150 156 160 164 170 177 192 195 200 204 205 208 221 236 240 246 250 255 256 260 272 295 300 312 320 325 328 340 354 375 384 390 400 408 410 416 425 442 472 480 492 500 510 512 520 533 544 590 600 615 624 640 650 656 663 680 697 708 750 767 768 780 800 816 820 832 850 884 885 944 960 975 984 1000 1003 1020 1024 1025 1040 1066 1088 1105 1180 1200 1230 1248 1275 1280 1300 1312 1326 1360 1394 1416 1475 1500 1534 1536 1560 1599 1600 1625 1632 1640 1664 1700 1768 1770 1888 1920 1950 1968 2000 2006 2040 2048 2050 2080 2091 2125 2132 2176 2210 2301 2360 2400 2419 2460 2496 2550 2560 2600 2624 2652 2665 2720 2788 2832 2950 3000 3009 3068 3072 3075 3120 3198 3200 3250 3264 3280 3315 3328 3400 3485 3536 3540 3776 3835 3840 3900 3936 4000 4012 4080 4096 4100 4160 4182 4250 4264 4352 4420 4425 4602 4720 4800 4838 4875 4920 4992 5015 5100 5120 5125 5200 5248 5304 5330 5440 5525 5576 5664 5900 6000 6018 6136 6144 6150 6240 6375 6396 6400 6500 6528 6560 6630 6656 6800 6970 7072 7080 7257 7375 7552 7670 7680 7800 7872 7995 8000 8024 8160 8192 8200 8320 8364 8500 8528 8704 8840 8850 9061 9204 9440 9600 9676 9750 9840 9984 10030 10200 10240 10250 10400 10455 10496 10608 10660 10880 11050 11152 11328 11505 11800 12000 12036 12095 12272 12288 12300 12480 12750 12792 12800 13000 13039 13056 13120 13260 13312 13325 13600 13940 14144 14160 14514 14750 15045 15104 15340 15360 15375 15600 15744 15990 16000 16048 16320 16384 16400 16575 16640 16728 17000 17056 17408 17425 17680 17700 18122 18408 18880 19175 19200 19352 19500 19680 19968 20060 20400 20480 20500 20800 20910 20992 21216 21320 21760 22100 22125 22304 22656 23010 23600 24000 24072 24190 24544 24576 24600 24960 25075 25500 25584 25600 26000 26078 26112 26240 26520 26624 26650 27183 27200 27625 27880 28288 28320 29028 29500 30090 30208 30680 30720 30750 31200 31447 31488 31980 32000 32096 32640 32768 32800 33150 33280 33456 34000 34112 34816 34850 35360 35400 36244 36285 36816 37760 38350 38400 38704 39000 39117 39360 39936 39975 40120 40800 40960 41000 41123 41600 41820 41984 42432 42640 43520 44200 44250 44608 45305 45312 46020 47200 48000 48144 48380 49088 49152 49200 49920 50150 51000 51168 51200 52000 52156 52224 52275 52480 53040 53248 53300 54366 54400 55250 55760 56576 56640 57525 58056 59000 60180 60416 60475 61360 61440 61500 62400 62894 62976 63960 64000 64192 65195 65280 65536 65600 66300 66560 66625 66912 68000 68224 69632 69700 70720 70800 72488 72570 73632 75225 75520 76700 76800 77408 78000 78234 78720 79872 79950 80240 81600 81920 82000 82246 82875 83200 83640 83968 84864 85280 87040 87125 88400 88500 89216 90610 90624 92040 94341 94400 95875 96000 96288 96760 98176 98304 98400 99840 100300 102000 102336 102400 104000 104312 104448 104550 104960 106080 106496 106600 108732 108800 110500 111520 113152 113280 115050 116112 118000 120360 120832 120950 122720 122880 123000 123369 124800 125375 125788 125952 127920 128000 128384 130390 130560 131200 132600 133120 133250 133824 135915 136000 136448 139264 139400 141440 141600 144976 145140 147264 150450 151040 153400 153600 154816 156000 156468 157235 157440 159744 159900 160480 163200 163840 164000 164492 165750 166400 167280 167936 169728 170560 174080 174250 176800 177000 178432 181220 181248 181425 184080 188682 188800 191750 192000 192576 193520 195585 196352 196608 196800 199680 199875 200600 204000 204672 204800 205615 208000 208624 208896 209100 209920 212160 212992 213200 217464 217600 221000 223040 226304 226525 226560 230100 232224 236000 240720 241664 241900 245440 245760 246000 246738 249600 250750 251576 251904 255840 256000 256768 260780 261120 261375 262400 265200 266240 266500 267648 271830 272000 272896 278528 278800 282880 283200 287625 289952 290280 294528 300900 302080 302375 306800 307200 309632 312000 312936 314470 314880 319488 319800 320960 325975 326400 327680 328000 328984 331500 332800 334560 335872 339456 341120 348160 348500 353600 354000 356864 362440 362496 362850 368160 376125 377364 377600 383500 384000 385152 387040 391170 392704 393600 399360 399750 401200 408000 409344 409600 411230 416000 417248 417792 418200 419840 424320 425984 426400 434928 435200 442000 446080 452608 453050 453120 460200 464448 471705 472000 481440 483328 483800 490880 491520 492000 493476 499200 501500 503152 503808 511680 512000 513536 521560 522240 522750 524800 530400 532480 533000 534599 535296 543660 544000 545792 557056 557600 565760 566400 575250 579904 580560 589056 601800 604160 604750 613600 614400 616845 619264 624000 625872 628940 629760 638976 639600 641920 651950 652800 656000 657968 663000 665600 669120 671744 678912 679575 682240 696320 697000 707200 708000 713728 724880 724992 725700 736320 752250 754728 755200 767000 768000 770304 774080 782340 785408 786175 787200 798720 799500 802400 816000 818688 819200 822460 832000 834496 835584 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417248000 417792000 421099520 427261952 427679200 428236800 434928000 436633600 445366272 452608000 463923200 464448000 471244800 475594752 483025920 483328000 492994560 493476000 495411200 500697600 503152000 503808000 505319424 513215040 513536000 515227648 523960320 526374400 534077440 534599000 535296000 543129600 545792000 547429376 556707840 570982400 579904000 589056000 593821696 594493440 603782400 616243200 619264000 625872000 628326400 631649280 640892928 641518800 644034560 654950400 657968000 667596800 673759232 678912000 684286720 685178880 695884800 713728000 724992000 742277120 743116800 753991680 754728000 770304000 772841472 785408000 789561600 792657920 801116160 801898500 805043200 818688000 821144064 821657600 834496000 842199040 854523904 855358400 856473600 869856000 873267200 890732544 905216000 927846400 928896000 942489600 966051840 985989120 986952000 990822400 1001395200 1006304000 1007616000 1010638848 1026430080 1027072000 1030455296 1052748800 1068154880 1069198000 1070592000 1086259200 1091584000 1094858752 1113415680 1141964800 1159808000 1178112000 1188986880 1207564800 1232486400 1238528000 1251744000 1256652800 1263298560 1281785856 1283037600 1288069120 1309900800 1315936000 1335193600 1347518464 1357824000 1368573440 1391769600 1427456000 1449984000 1484554240 1486233600 1509456000 1540608000 1545682944 1570816000 1579123200 1602232320 1603797000 1610086400 1637376000 1642288128 1643315200 1668992000 1684398080 1710716800 1712947200 1739712000 1781465088 1810432000 1855692800 1857792000 1884979200 1932103680 1973904000 1981644800 2002790400 2012608000 2021277696 2052860160 2054144000 2060910592 2105497600 2136309760 2138396000 2141184000 2183168000 2189717504 2226831360 2319616000 2356224000 2377973760 2415129600 2464972800 2477056000 2503488000 2526597120 2563571712 2566075200 2576138240 2619801600 2631872000 2670387200 2695036928 2715648000 2737146880 2783539200 2854912000 2969108480 2972467200 3018912000 3081216000 3091365888 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12632985600 12817858560 12830376000 12880691200 13099008000 13138305024 13351936000 13475184640 13685734400 13917696000 14845542400 14862336000 15456829440 15791232000 16022323200 16100864000 16422881280 16843980800 17107168000 17129472000 17517740032 18556928000 18849792000 19321036800 19816448000 20027904000 20212776960 20528601600 21054976000 21363097600 21897175040 22268313600 24151296000 24649728000 25265971200 25660752000 25761382400 26276610048 26703872000 27371468800 27835392000 29724672000 30913658880 31582464000 32044646400 32201728000 32845762560 33687961600 34214336000 35035480064 37113856000 38642073600 40055808000 40425553920 41057203200 42109952000 43794350080 44536627200 48302592000 50531942400 51321504000 51522764800 52553220096 53407744000 54742937600 55670784000 59449344000 63164928000 64089292800 64403456000 65691525120 67375923200 68428672000 74227712000 77284147200 80111616000 82114406400 84219904000 87588700160 96605184000 101063884800 102643008000 105106440192 106815488000 109485875200 111341568000 126329856000 128806912000 131383050240 136857344000 154568294400 160223232000 164228812800 168439808000 175177400320 193210368000 202127769600 205286016000 218971750400 222683136000 252659712000 257613824000 262766100480 273714688000 320446464000 328457625600 336879616000 386420736000 410572032000 437943500800 505319424000 525532200960 547429376000 656915251200 772841472000 821144064000 875887001600 1010638848000 1094858752000 1313830502400 1642288128000 2189717504000 2627661004800 3284576256000 4379435008000 6569152512000 13138305024000
- Sum of all divisors σ(n): 51938844572160
- Sum of proper divisors (its aliquot sum) s(n): 38800539548160
- 13138305024000 is an abundant number, because the sum of its proper divisors (38800539548160) is greater than itself. Its abundance is 25662234524160
Bases of 13138305024000
- Binary: 101111110011000000000000000100000000000000002
- Hexadecimal: 0xBF300010000
- Base-36: 4NNNJL91C
Squares and roots of 13138305024000
- 13138305024000 squared (131383050240002) is 172615058903663640576000000
- 13138305024000 cubed (131383050240003) is 2267869295612059940985791053824000000000
-
The
square root of 13138305024000 is 3624679.9891852521 -
The
cube root of 13138305024000 is 23596.4378804495
Scales and comparisons
How big is 13138305024000?- 13,138,305,024,000 seconds is equal to 417,757 years, 23 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 13,138,305,024,000 would take you about one million, forty-four thousand, three hundred ninety-three 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 13138305024000 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138305024000
- 13138305024000 backwards is 00042050383131
- 13138305024000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138305024000's digits is 30
- More coming soon!
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The information we have on file for 13138305024000 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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