145013321728000
145,013,321,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 145013321728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1024 divisors.
145013321728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 145013321728000:
215 × 53 × 11 × 31 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 47 × 47 × 47)See below for interesting mathematical facts about the number 145013321728000 from the Numbermatics database.
Names of 145013321728000
- Cardinal: 145013321728000 can be written as One hundred forty-five trillion, thirteen billion, three hundred twenty-one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.45013321728 × 1014
Factors of 145013321728000
Divisors of 145013321728000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 47 50 55 62 64 80 88 94 100 110 124 125 128 155 160 176 188 200 220 235 248 250 256 275 310 320 341 352 376 400 440 470 496 500 512 517 550 620 640 682 704 752 775 800 880 940 992 1000 1024 1034 1100 1175 1240 1280 1364 1375 1408 1457 1504 1550 1600 1705 1760 1880 1984 2000 2048 2068 2200 2209 2350 2480 2560 2585 2728 2750 2816 2914 3008 3100 3200 3410 3520 3760 3875 3968 4000 4096 4136 4400 4418 4700 4960 5120 5170 5456 5500 5632 5828 5875 6016 6200 6400 6820 7040 7285 7520 7750 7936 8000 8192 8272 8525 8800 8836 9400 9920 10240 10340 10912 11000 11045 11264 11656 11750 12032 12400 12800 12925 13640 14080 14570 15040 15500 15872 16000 16027 16384 16544 17050 17600 17672 18800 19840 20480 20680 21824 22000 22090 22528 23312 23500 24064 24299 24800 25600 25850 27280 28160 29140 30080 31000 31744 32000 32054 32768 33088 34100 35200 35344 36425 37600 39680 40960 41360 42625 43648 44000 44180 45056 46624 47000 48128 48598 49600 51200 51700 54560 55225 56320 58280 60160 62000 63488 64000 64108 64625 66176 68200 68479 70400 70688 72850 75200 79360 80135 81920 82720 85250 87296 88000 88360 90112 93248 94000 96256 97196 99200 102400 103400 103823 109120 110450 112640 116560 120320 121495 124000 126976 128000 128216 129250 132352 136400 136958 140800 141376 145700 150400 158720 160270 163840 165440 170500 174592 176000 176720 180224 182125 186496 188000 192512 194392 198400 204800 206800 207646 218240 220900 225280 233120 240640 242990 248000 253952 256000 256432 258500 264704 272800 273916 276125 281600 282752 291400 300800 317440 320540 330880 341000 342395 349184 352000 353440 360448 364250 372992 376000 385024 388784 396800 400675 409600 413600 415292 436480 441800 450560 466240 481280 485980 496000 507904 512000 512864 517000 519115 529408 545600 547832 552250 563200 565504 582800 601600 607475 634880 641080 661760 682000 684790 698368 704000 706880 728500 745984 752000 753269 770048 777568 793600 801350 819200 827200 830584 872960 883600 901120 932480 962560 971960 992000 1015808 1024000 1025728 1034000 1038230 1058816 1091200 1095664 1104500 1126400 1131008 1142053 1165600 1203200 1214950 1269760 1282160 1323520 1364000 1369580 1396736 1408000 1413760 1457000 1491968 1504000 1506538 1540096 1555136 1587200 1602700 1654400 1661168 1711975 1745920 1767200 1802240 1864960 1925120 1943920 1984000 2003375 2048000 2051456 2068000 2076460 2117632 2182400 2191328 2209000 2252800 2262016 2284106 2331200 2406400 2429900 2539520 2564320 2595575 2647040 2728000 2739160 2793472 2816000 2827520 2914000 2983936 3008000 3013076 3037375 3110272 3174400 3205400 3218513 3308800 3322336 3423950 3491840 3534400 3729920 3766345 3850240 3887840 3968000 4006750 4096000 4102912 4136000 4152920 4235264 4364800 4382656 4418000 4505600 4524032 4568212 4662400 4812800 4859800 5079040 5128640 5191150 5294080 5456000 5478320 5586944 5632000 5655040 5710265 5828000 5967872 6016000 6026152 6074750 6220544 6348800 6410800 6437026 6617600 6644672 6847900 6983680 7068800 7459840 7532690 7700480 7775680 7936000 8013500 8205824 8272000 8305840 8470528 8559875 8729600 8765312 8836000 9011200 9048064 9136424 9324800 9625600 9719600 10257280 10382300 10588160 10912000 10956640 11173888 11264000 11310080 11420530 11656000 11935744 12032000 12052304 12149500 12441088 12697600 12821600 12874052 12977875 13235200 13289344 13695800 13967360 14137600 14919680 15065380 15551360 15872000 16027000 16092565 16411648 16544000 16611680 16941056 17119750 17459200 17530624 17672000 18096128 18272848 18649600 18831725 19251200 19439200 20514560 20764600 21176320 21824000 21913280 22528000 22620160 22841060 23312000 23871488 24064000 24104608 24299000 24882176 25395200 25643200 25748104 25955750 26470400 26578688 27391600 27934720 28275200 28551325 29839360 30130760 31102720 31744000 32054000 32185130 32823296 33088000 33223360 34239500 34918400 35061248 35344000 35403643 36192256 36545696 37299200 37663450 38502400 38878400 41029120 41529200 42352640 43648000 43826560 45056000 45240320 45682120 46624000 47742976 48128000 48209216 48598000 49764352 51286400 51496208 51911500 52940800 53157376 54783200 55869440 56550400 57102650 59678720 60261520 62205440 63488000 64108000 64370260 65646592 66176000 66446720 68479000 69836800 70122496 70688000 70807286 72384512 73091392 74598400 75326900 77756800 80462825 82058240 83058400 84705280 87296000 87653120 90480640 91364240 93248000 94158625 96256000 96418432 97196000 99528704 102572800 102992416 103823000 105881600 106314752 109566400 113100800 114205300 119357440 120523040 124410880 126976000 128216000 128740520 131293184 132352000 132893440 136958000 139673600 140244992 141376000 141614572 142756625 146182784 149196800 150653800 155513600 160925650 164116480 166116800 174592000 175306240 177018215 180961280 182728480 186496000 188317250 192512000 192836864 194392000 199057408 205145600 205984832 207646000 211763200 212629504 219132800 226201600 228410600 238714880 241046080 248821760 256432000 257481040 262586368 264704000 265786880 273916000 279347200 280489984 282752000 283229144 285513250 292365568 298393600 301307600 311027200 321851300 328232960 332233600 349184000 350612480 354036430 361922560 365456960 372992000 376634500 385673728 388784000 398114816 402314125 410291200 411969664 415292000 423526400 425259008 438265600 452403200 456821200 482092160 497643520 512864000 514962080 525172736 529408000 531573760 547832000 560979968 565504000 566458288 571026500 584731136 596787200 602615200 622054400 643702600 656465920 664467200 698368000 701224960 708072860 730913920 745984000 753269000 771347456 777568000 796229632 804628250 820582400 823939328 830584000 850518016 876531200 885091075 904806400 913642400 964184320 995287040 1025728000 1029924160 1058816000 1063147520 1095664000 1121959936 1131008000 1132916576 1142053000 1169462272 1193574400 1205230400 1244108800 1287405200 1312931840 1328934400 1396736000 1402449920 1416145720 1461827840 1491968000 1506538000 1542694912 1555136000 1609256500 1641164800 1647878656 1661168000 1701036032 1753062400 1770182150 1809612800 1827284800 1928368640 1990574080 2051456000 2059848320 2117632000 2126295040 2191328000 2243919872 2262016000 2265833152 2284106000 2338924544 2410460800 2488217600 2574810400 2625863680 2657868800 2804899840 2832291440 2923655680 2983936000 3013076000 3085389824 3110272000 3218513000 3282329600 3295757312 3322336000 3402072064 3506124800 3540364300 3654569600 3856737280 3981148160 4102912000 4119696640 4252590080 4382656000 4425455375 4524032000 4531666304 4568212000 4677849088 4820921600 4976435200 5149620800 5315737600 5609799680 5664582880 5847311360 5967872000 6026152000 6170779648 6220544000 6437026000 6564659200 6591514624 6644672000 7012249600 7080728600 7309139200 7713474560 8205824000 8239393280 8505180160 8765312000 8850910750 9048064000 9063332608 9136424000 9355698176 9641843200 9952870400 10299241600 10631475200 11219599360 11329165760 11694622720 12052304000 12341559296 12441088000 12874052000 13129318400 13183029248 13289344000 14024499200 14161457200 14618278400 15426949120 16411648000 16478786560 17010360320 17530624000 17701821500 18126665216 18272848000 18711396352 19283686400 19905740800 20598483200 21262950400 22658331520 23389245440 24104608000 24683118592 24882176000 25748104000 26366058496 26578688000 28048998400 28322914400 29236556800 30853898240 32823296000 32957573120 35061248000 35403643000 36253330432 36545696000 37422792704 38567372800 41196966400 42525900800 45316663040 46778490880 48209216000 49764352000 51496208000 52732116992 53157376000 56097996800 56645828800 58473113600 61707796480 65646592000 65915146240 70122496000 70807286000 72506660864 73091392000 77134745600 82393932800 85051801600 90633326080 93556981760 96418432000 99528704000 102992416000 105464233984 106314752000 113291657600 116946227200 123415592960 131830292480 140244992000 141614572000 145013321728 146182784000 154269491200 164787865600 181266652160 187113963520 192836864000 205984832000 212629504000 226583315200 233892454400 263660584960 280489984000 283229144000 290026643456 292365568000 308538982400 329575731200 362533304320 385673728000 411969664000 425259008000 453166630400 467784908800 527321169920 566458288000 580053286912 584731136000 617077964800 659151462400 725066608640 771347456000 823939328000 906333260800 935569817600 1132916576000 1160106573824 1169462272000 1318302924800 1450133217280 1542694912000 1647878656000 1812666521600 2265833152000 2338924544000 2636605849600 2900266434560 3085389824000 3295757312000 3625333043200 4531666304000 4677849088000 5800532869120 6591514624000 7250666086400 9063332608000 13183029248000 14501332172800 18126665216000 29002664345600 36253330432000 72506660864000 145013321728000
- Sum of all divisors σ(n): 416449780531200
- Sum of proper divisors (its aliquot sum) s(n): 271436458803200
- 145013321728000 is an abundant number, because the sum of its proper divisors (271436458803200) is greater than itself. Its abundance is 126423137075200
Bases of 145013321728000
- Binary: 1000001111100011100010111000011110000000000000002
- Hexadecimal: 0x83E38B878000
- Base-36: 1FEI77MGHS
Squares and roots of 145013321728000
- 145013321728000 squared (1450133217280002) is 21028863478588436905984000000
- 145013321728000 cubed (1450133217280003) is 3049465345194734240348086680420352000000000
-
The
square root of 145013321728000 is 12042147.7207348689 -
The
cube root of 145013321728000 is 52537.4875691921
Scales and comparisons
How big is 145013321728000?- 145,013,321,728,000 seconds is equal to 4,610,975 years, 3 weeks, 6 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 145,013,321,728,000 would take you about eleven million, five hundred twenty-seven thousand, four hundred thirty-seven 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 145013321728000 cubic inches would be around 4378.1 feet tall.
Recreational maths with 145013321728000
- 145013321728000 backwards is 000827123310541
- The number of decimal digits it has is: 15
- The sum of 145013321728000's digits is 37
- More coming soon!
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The information we have on file for 145013321728000 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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