13978289664000
13,978,289,664,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13978289664000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
13978289664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13978289664000:
212 × 33 × 53 × 192 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 2801)See below for interesting mathematical facts about the number 13978289664000 from the Numbermatics database.
Names of 13978289664000
- Cardinal: 13978289664000 can be written as Thirteen trillion, nine hundred seventy-eight billion, two hundred eighty-nine million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3978289664 × 1013
Factors of 13978289664000
Divisors of 13978289664000
- Number of divisors d(n): 1248
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 125 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 250 256 270 285 288 300 304 320 342 360 361 375 380 384 400 432 450 456 475 480 500 512 513 540 570 576 600 608 640 675 684 720 722 750 760 768 800 855 864 900 912 950 960 1000 1024 1026 1080 1083 1125 1140 1152 1200 1216 1280 1350 1368 1425 1440 1444 1500 1520 1536 1600 1710 1728 1800 1805 1824 1900 1920 2000 2048 2052 2160 2166 2250 2280 2304 2375 2400 2432 2560 2565 2700 2736 2801 2850 2880 2888 3000 3040 3072 3200 3249 3375 3420 3456 3600 3610 3648 3800 3840 4000 4096 4104 4275 4320 4332 4500 4560 4608 4750 4800 4864 5120 5130 5400 5415 5472 5602 5700 5760 5776 6000 6080 6144 6400 6498 6750 6840 6912 7125 7200 7220 7296 7600 7680 8000 8208 8403 8550 8640 8664 9000 9025 9120 9216 9500 9600 9728 9747 10240 10260 10800 10830 10944 11204 11400 11520 11552 12000 12160 12288 12800 12825 12996 13500 13680 13824 14005 14250 14400 14440 14592 15200 15360 16000 16245 16416 16806 17100 17280 17328 18000 18050 18240 18432 19000 19200 19456 19494 20480 20520 21375 21600 21660 21888 22408 22800 23040 23104 24000 24320 25209 25600 25650 25992 27000 27075 27360 27648 28010 28500 28800 28880 29184 30400 30720 32000 32490 32832 33612 34200 34560 34656 36000 36100 36480 36864 38000 38400 38912 38988 41040 42015 42750 43200 43320 43776 44816 45125 45600 46080 46208 48000 48640 48735 50418 51200 51300 51984 53219 54000 54150 54720 55296 56020 57000 57600 57760 58368 60800 61440 64000 64125 64980 65664 67224 68400 69120 69312 70025 72000 72200 72960 75627 76000 76800 77824 77976 81225 82080 84030 85500 86400 86640 87552 89632 90250 91200 92160 92416 96000 97280 97470 100836 102400 102600 103968 106438 108000 108300 109440 110592 112040 114000 115200 115520 116736 121600 126045 128000 128250 129960 131328 134448 135375 136800 138240 138624 140050 144000 144400 145920 151254 152000 153600 155952 159657 162450 164160 168060 171000 172800 173280 175104 179264 180500 182400 184320 184832 192000 194560 194940 201672 205200 207936 210075 212876 216000 216600 218880 224080 228000 230400 231040 233472 243200 243675 252090 256000 256500 259920 262656 266095 268896 270750 273600 276480 277248 280100 288000 288800 291840 302508 304000 307200 311904 319314 324900 328320 336120 342000 345600 346560 350125 350208 358528 361000 364800 369664 378135 384000 389120 389880 403344 406125 410400 415872 420150 425752 432000 433200 437760 448160 456000 460800 462080 478971 486400 487350 504180 512000 513000 519840 525312 532190 537792 541500 547200 552960 554496 560200 576000 577600 583680 605016 608000 623808 630225 638628 649800 656640 672240 684000 691200 693120 700250 700416 717056 722000 729600 739328 756270 768000 779760 798285 806688 812250 820800 831744 840300 851504 864000 866400 875520 896320 912000 921600 924160 957942 972800 974700 1008360 1011161 1026000 1039680 1050375 1050624 1064380 1075584 1083000 1094400 1108992 1120400 1152000 1155200 1167360 1210032 1216000 1218375 1247616 1260450 1277256 1299600 1313280 1330475 1344480 1368000 1382400 1386240 1400500 1434112 1436913 1444000 1459200 1478656 1512540 1536000 1559520 1596570 1613376 1624500 1641600 1663488 1680600 1703008 1728000 1732800 1751040 1792640 1824000 1848320 1890675 1915884 1945600 1949400 2016720 2022322 2052000 2079360 2100750 2101248 2128760 2151168 2166000 2188800 2217984 2240800 2304000 2310400 2394855 2420064 2432000 2436750 2495232 2520900 2554512 2599200 2626560 2660950 2688960 2736000 2764800 2772480 2801000 2868224 2873826 2888000 2918400 3025080 3033483 3119040 3151125 3193140 3226752 3249000 3283200 3326976 3361200 3406016 3456000 3465600 3502080 3585280 3648000 3696640 3781350 3831768 3898800 3991425 4033440 4044644 4104000 4158720 4201500 4257520 4302336 4332000 4377600 4435968 4481600 4608000 4620800 4789710 4840128 4864000 4873500 4990464 5041800 5055805 5109024 5198400 5253120 5321900 5377920 5472000 5544960 5602000 5736448 5747652 5776000 5836800 6050160 6066966 6238080 6302250 6386280 6453504 6498000 6566400 6652375 6653952 6722400 6812032 6912000 6931200 7170560 7184565 7296000 7393280 7562700 7663536 7797600 7982850 8066880 8089288 8208000 8317440 8403000 8515040 8604672 8664000 8755200 8963200 9100449 9241600 9453375 9579420 9680256 9728000 9747000 9980928 10083600 10111610 10218048 10396800 10506240 10643800 10755840 10944000 11089920 11204000 11472896 11495304 11552000 11974275 12100320 12133932 12476160 12604500 12772560 12907008 12996000 13132800 13304750 13307904 13444800 13624064 13824000 13862400 14341120 14369130 14592000 15125400 15167415 15327072 15595200 15965700 16133760 16178576 16416000 16634880 16806000 17030080 17209344 17328000 17510400 17926400 18200898 18483200 18906750 19158840 19360512 19494000 19957125 19961856 20167200 20223220 20436096 20793600 21287600 21511680 21888000 22179840 22408000 22990608 23104000 23948550 24200640 24267864 24952320 25209000 25279025 25545120 25814016 25992000 26265600 26609500 26889600 27248128 27301347 27724800 28682240 28738260 29184000 30250800 30334830 30654144 31190400 31931400 32267520 32357152 32832000 33269760 33612000 34060160 34418688 34656000 35852800 35922825 36401796 36966400 37813500 38317680 38721024 38988000 39914250 39923712 40334400 40446440 40872192 41587200 42575200 43023360 43776000 44816000 45502245 45981216 46208000 47897100 48401280 48535728 49904640 50418000 50558050 51090240 51628032 51984000 52531200 53219000 53779200 54496256 54602694 55449600 57364480 57476520 59871375 60501600 60669660 61308288 62380800 63862800 64535040 64714304 65664000 66539520 67224000 68120320 69312000 71705600 71845650 72803592 75627000 75837075 76635360 77442048 77976000 79828500 80668800 80892880 81744384 83174400 85150400 86046720 87552000 89632000 91004490 91962432 92416000 95794200 96802560 97071456 99809280 100836000 101116100 102180480 103256064 103968000 106438000 107558400 108992512 109205388 110899200 114953040 119742750 121003200 121339320 122616576 124761600 126395125 127725600 129070080 129428608 131328000 134448000 136240640 136506735 138624000 143411200 143691300 145607184 151254000 151674150 153270720 154884096 155952000 159657000 161337600 161785760 163488768 166348800 170300800 172093440 179264000 179614125 182008980 183924864 184832000 191588400 193605120 194142912 199618560 201672000 202232200 204360960 207936000 212876000 215116800 217985024 218410776 227511225 229906080 239485500 242006400 242678640 245233152 249523200 252790250 255451200 258140160 258857216 262656000 268896000 272481280 273013470 277248000 286822400 287382600 291214368 302508000 303348300 306541440 309768192 311904000 319314000 322675200 323571520 326977536 332697600 340601600 358528000 359228250 364017960 367849728 379185375 383176800 387210240 388285824 403344000 404464400 408721920 415872000 425752000 430233600 436821552 455022450 459812160 478971000 484012800 485357280 490466304 499046400 505580500 510902400 516280320 517714432 537792000 544962560 546026940 554496000 574765200 582428736 605016000 606696600 613082880 623808000 638628000 645350400 647143040 653955072 681203200 682533675 717056000 718456500 728035920 735699456 758370750 766353600 774420480 776571648 806688000 808928800 817443840 831744000 851504000 860467200 873643104 910044900 919624320 957942000 968025600 970714560 980932608 998092800 1011161000 1021804800 1035428864 1075584000 1089925120 1092053880 1137556125 1149530400 1164857472 1210032000 1213393200 1226165760 1247616000 1277256000 1290700800 1294286080 1362406400 1365067350 1434112000 1436913000 1456071840 1471398912 1516741500 1532707200 1548840960 1553143296 1613376000 1617857600 1634887680 1663488000 1703008000 1747286208 1820089800 1839248640 1915884000 1936051200 1941429120 1961865216 2022322000 2043609600 2070857728 2151168000 2184107760 2275112250 2299060800 2329714944 2420064000 2426786400 2452331520 2495232000 2554512000 2581401600 2588572160 2724812800 2730134700 2873826000 2912143680 2942797824 3033483000 3065414400 3106286592 3226752000 3235715200 3269775360 3406016000 3412668375 3494572416 3640179600 3678497280 3831768000 3872102400 3882858240 4044644000 4087219200 4141715456 4302336000 4368215520 4550224500 4598121600 4659429888 4840128000 4853572800 4904663040 4990464000 5109024000 5177144320 5449625600 5460269400 5747652000 5824287360 5885595648 6066966000 6130828800 6212573184 6453504000 6471430400 6812032000 6825336750 6989144832 7280359200 7356994560 7663536000 7744204800 7765716480 8089288000 8174438400 8736431040 9100449000 9196243200 9318859776 9680256000 9707145600 9809326080 10218048000 10354288640 10920538800 11495304000 11648574720 12133932000 12261657600 12425146368 12907008000 12942860800 13624064000 13650673500 13978289664 14560718400 14713989120 15327072000 15531432960 16178576000 16348876800 17472862080 18200898000 18392486400 18637719552 19360512000 19414291200 20436096000 20708577280 21841077600 22990608000 23297149440 24267864000 24523315200 25885721600 27248128000 27301347000 27956579328 29121436800 29427978240 30654144000 31062865920 32357152000 34945724160 36401796000 36784972800 37275439104 38721024000 38828582400 40872192000 43682155200 45981216000 46594298880 48535728000 49046630400 51771443200 54602694000 55913158656 58242873600 61308288000 62125731840 64714304000 69891448320 72803592000 73569945600 77657164800 81744384000 87364310400 91962432000 93188597760 97071456000 103542886400 109205388000 111826317312 116485747200 122616576000 129428608000 139782896640 145607184000 147139891200 155314329600 174728620800 183924864000 186377195520 194142912000 218410776000 232971494400 245233152000 258857216000 279565793280 291214368000 310628659200 349457241600 367849728000 388285824000 436821552000 465942988800 517714432000 559131586560 582428736000 698914483200 735699456000 776571648000 873643104000 931885977600 1164857472000 1397828966400 1553143296000 1747286208000 2329714944000 2795657932800 3494572416000 4659429888000 6989144832000 13978289664000
- Sum of all divisors σ(n): 54565058134080
- Sum of proper divisors (its aliquot sum) s(n): 40586768470080
- 13978289664000 is an abundant number, because the sum of its proper divisors (40586768470080) is greater than itself. Its abundance is 26608478806080
Bases of 13978289664000
- Binary: 110010110110100100101111110101110000000000002
- Hexadecimal: 0xCB692FD7000
- Base-36: 4YDJCR9C0
Squares and roots of 13978289664000
- 13978289664000 squared (139782896640002) is 195392581930689232896000000
- 13978289664000 cubed (139782896640003) is 2731254108424026468586245586944000000000
-
The
square root of 13978289664000 is 3738755.0954829871 -
The
cube root of 13978289664000 is 24088.9578633835
Scales and comparisons
How big is 13978289664000?- 13,978,289,664,000 seconds is equal to 444,466 years, 19 weeks, 3 days.
-
To count from 1 to 13,978,289,664,000 would take you about one million, one hundred eleven thousand, one hundred sixty-five 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 13978289664000 cubic inches would be around 2007.4 feet tall.
Recreational maths with 13978289664000
- 13978289664000 backwards is 00046698287931
- The number of decimal digits it has is: 14
- The sum of 13978289664000's digits is 63
- More coming soon!
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The information we have on file for 13978289664000 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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