19680401347200
19,680,401,347,200 is an even composite number composed of six prime numbers multiplied together.
19680401347200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 19680401347200:
27 × 33 × 52 × 11 × 109 × 189977
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 109 × 189977)See below for interesting mathematical facts about the number 19680401347200 from the Numbermatics database.
Names of 19680401347200
- Cardinal: 19680401347200 can be written as Nineteen trillion, six hundred eighty billion, four hundred one million, three hundred forty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.96804013472 × 1013
Factors of 19680401347200
Divisors of 19680401347200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 109 110 120 128 132 135 144 150 160 165 176 180 192 198 200 216 218 220 225 240 264 270 275 288 297 300 320 327 330 352 360 384 396 400 432 436 440 450 480 495 528 540 545 550 576 594 600 640 654 660 675 704 720 792 800 825 864 872 880 900 960 981 990 1056 1080 1090 1100 1152 1188 1199 1200 1308 1320 1350 1408 1440 1485 1584 1600 1635 1650 1728 1744 1760 1800 1920 1962 1980 2112 2160 2180 2200 2376 2398 2400 2475 2616 2640 2700 2725 2880 2943 2970 3168 3200 3270 3300 3456 3488 3520 3597 3600 3924 3960 4224 4320 4360 4400 4752 4796 4800 4905 4950 5232 5280 5400 5450 5760 5886 5940 5995 6336 6540 6600 6976 7040 7194 7200 7425 7848 7920 8175 8640 8720 8800 9504 9592 9600 9810 9900 10464 10560 10791 10800 10900 11772 11880 11990 12672 13080 13200 13952 14388 14400 14715 14850 15696 15840 16350 17280 17440 17600 17985 19008 19184 19620 19800 20928 21120 21582 21600 21800 23544 23760 23980 24525 26160 26400 28776 28800 29430 29700 29975 31392 31680 32373 32700 34880 35200 35970 38016 38368 39240 39600 41856 43164 43200 43600 47088 47520 47960 49050 52320 52800 53955 57552 58860 59400 59950 62784 63360 64746 65400 69760 71940 73575 76736 78480 79200 86328 86400 87200 89925 94176 95040 95920 98100 104640 105600 107910 115104 117720 118800 119900 125568 129492 130800 143880 147150 153472 156960 158400 161865 172656 174400 179850 188352 189977 190080 191840 196200 209280 215820 230208 235440 237600 239800 258984 261600 269775 287760 294300 313920 316800 323730 345312 348800 359700 376704 379954 383680 392400 431640 460416 470880 475200 479600 517968 523200 539550 569931 575520 588600 627840 647460 690624 719400 759908 767360 784800 809325 863280 941760 949885 950400 959200 1035936 1046400 1079100 1139862 1151040 1177200 1294920 1381248 1438800 1519816 1569600 1618650 1709793 1726560 1883520 1899770 1918400 2071872 2089747 2158200 2279724 2302080 2354400 2589840 2849655 2877600 3039632 3139200 3237300 3419586 3453120 3799540 3836800 4143744 4179494 4316400 4559448 4708800 4749425 5129379 5179680 5699310 5755200 6079264 6269241 6474600 6839172 6906240 7599080 8358988 8548965 8632800 9118896 9417600 9498850 10258758 10359360 10448735 11398620 11510400 12158528 12538482 12949200 13678344 14248275 15198160 16717976 17097930 17265600 18237792 18807723 18997700 20517516 20707493 20718720 20897470 22797240 24317056 25076964 25646895 25898400 27356688 28496550 30396320 31346205 33435952 34195860 34531200 36475584 37615446 37995400 41035032 41414986 41794940 42744825 45594480 50153928 51293790 51796800 52243675 54713376 56423169 56993100 60792640 62122479 62692410 66871904 68391720 72951168 75230892 75990800 82070064 82829972 83589880 85489650 91188960 94038615 100307856 102587580 103537465 103593600 104487350 109426752 112846338 113986200 121585280 124244958 125384820 128234475 133743808 136783440 150461784 151981600 156731025 164140128 165659944 167179760 170979300 182377920 186367437 188077230 200615712 205175160 207074930 208974700 218853504 225692676 227782423 227972400 248489916 250769640 256468950 267487616 273566880 282115845 300923568 303963200 310612395 313462050 328280256 331319888 334359520 341958600 364755840 372734874 376154460 401231424 410350320 414149860 417949400 451385352 455564846 455944800 470193075 496979832 501539280 512937900 517687325 547133760 559102311 564231690 601847136 607926400 621224790 626924100 656560512 662639776 668719040 683347269 683917200 745469748 752308920 802462848 820700640 828299720 835898800 902770704 911129692 911889600 931837185 940386150 993959664 1003078560 1025875800 1035374650 1094267520 1118204622 1128463380 1138912115 1203694272 1242449580 1253848200 1325279552 1337438080 1366694538 1367834400 1410579225 1490939496 1504617840 1553061975 1641401280 1656599440 1671797600 1805541408 1822259384 1823779200 1863674370 1880772300 1987919328 2006157120 2050041807 2051751600 2070749300 2236409244 2256926760 2277824230 2407388544 2484899160 2507696400 2650559104 2733389076 2735668800 2795511555 2821158450 2981878992 3009235680 3106123950 3282802560 3313198880 3343595200 3416736345 3611082816 3644518768 3727348740 3761544600 3975838656 4012314240 4100083614 4103503200 4141498600 4472818488 4513853520 4555648460 4659185925 4969798320 5015392800 5466778152 5471337600 5591023110 5642316900 5694560575 5963757984 6018471360 6150125421 6212247900 6626397760 6687190400 6833472690 7222165632 7289037536 7454697480 7523089200 7951677312 8200167228 8207006400 8282997200 8945636976 9027707040 9111296920 9318371850 9939596640 10030785600 10250209035 10933556304 11182046220 11284633800 11389121150 11927515968 12036942720 12300250842 12424495800 13252795520 13666945380 13977557775 14578075072 14909394960 15046178400 16400334456 16414012800 16565994400 17083681725 17891273952 18055414080 18222593840 18636743700 19879193280 20061571200 20500418070 21867112608 22364092440 22569267600 22778242300 23855031936 24600501684 24848991600 27333890760 27955115550 29156150144 29818789920 30092356800 30750627105 32800668912 33131988800 34167363450 35782547904 36110828160 36445187680 37273487400 39758386560 41000836140 43734225216 44728184880 45138535200 45556484600 49201003368 49697983200 51251045175 54667781520 55910231100 59637579840 60184713600 61501254210 65601337824 66263977600 68334726900 71565095808 72890375360 74546974800 82001672280 87468450432 89456369760 90277070400 91112969200 98402006736 99395966400 102502090350 109335563040 111820462200 119275159680 123002508420 131202675648 136669453800 145780750720 149093949600 153753135525 164003344560 178912739520 180554140800 182225938400 196804013472 198791932800 205004180700 218671126080 223640924400 246005016840 262405351296 273338907600 298187899200 307506271050 328006689120 357825479040 364451876800 393608026944 410008361400 437342252160 447281848800 492010033680 546677815200 596375798400 615012542100 656013378240 728903753600 787216053888 820016722800 894563697600 984020067360 1093355630400 1230025084200 1312026756480 1640033445600 1789127395200 1968040134720 2186711260800 2460050168400 3280066891200 3936080269440 4920100336800 6560133782400 9840200673600 19680401347200
- Sum of all divisors σ(n): 79293777552000
- Sum of proper divisors (its aliquot sum) s(n): 59613376204800
- 19680401347200 is an abundant number, because the sum of its proper divisors (59613376204800) is greater than itself. Its abundance is 39932974857600
Bases of 19680401347200
- Binary: 1000111100110001100110101010011010010100000002
- Hexadecimal: 0x11E63354D280
- Base-36: 6Z51UTUO0
Squares and roots of 19680401347200
- 19680401347200 squared (196804013472002) is 387318197186871574947840000
- 19680401347200 cubed (196804013472003) is 7622577569711582593756856105730048000000
-
The
square root of 19680401347200 is 4436259.8376560407 -
The
cube root of 19680401347200 is 26998.8117205437
Scales and comparisons
How big is 19680401347200?- 19,680,401,347,200 seconds is equal to 625,775 years, 46 weeks, 1 day.
-
To count from 1 to 19,680,401,347,200 would take you about one million, five hundred sixty-four thousand, four hundred thirty-nine 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 19680401347200 cubic inches would be around 2249.9 feet tall.
Recreational maths with 19680401347200
- 19680401347200 backwards is 00274310408691
- 19680401347200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 19680401347200's digits is 45
- More coming soon!
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