102428842135200
102,428,842,135,200 is an even composite number composed of six prime numbers multiplied together.
102428842135200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 102428842135200:
25 × 3 × 52 × 7 × 1132 × 6912
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 113 × 113 × 691 × 691)See below for interesting mathematical facts about the number 102428842135200 from the Numbermatics database.
Names of 102428842135200
- Cardinal: 102428842135200 can be written as One hundred two trillion, four hundred twenty-eight billion, eight hundred forty-two million, one hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.024288421352 × 1014
Factors of 102428842135200
Divisors of 102428842135200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 113 120 140 150 160 168 175 200 210 224 226 240 280 300 336 339 350 400 420 452 480 525 560 565 600 672 678 691 700 791 800 840 904 1050 1120 1130 1200 1356 1382 1400 1582 1680 1695 1808 2073 2100 2260 2373 2400 2712 2764 2800 2825 3164 3360 3390 3455 3616 3955 4146 4200 4520 4746 4837 5424 5528 5600 5650 6328 6780 6910 7910 8292 8400 8475 9040 9492 9674 10365 10848 11056 11300 11865 12656 12769 13560 13820 14511 15820 16584 16800 16950 17275 18080 18984 19348 19775 20730 22112 22600 23730 24185 25312 25538 27120 27640 29022 31640 33168 33900 34550 37968 38307 38696 39550 41460 45200 47460 48370 51076 51825 54240 55280 58044 59325 63280 63845 66336 67800 69100 72555 75936 76614 77392 78083 79100 82920 89383 90400 94920 96740 102152 103650 110560 116088 118650 120925 126560 127690 135600 138200 145110 153228 154784 156166 158200 165840 178766 189840 191535 193480 204304 207300 232176 234249 237300 241850 255380 268149 271200 276400 290220 306456 312332 316400 319225 331680 357532 362775 379680 383070 386960 390415 408608 414600 446915 464352 468498 474600 477481 483700 510760 536298 546581 552800 580440 612912 624664 632800 638450 715064 725550 766140 773920 780830 829200 893830 936996 949200 954962 957675 967400 1021520 1072596 1093162 1160880 1171245 1225824 1249328 1276900 1340745 1430128 1432443 1451100 1532280 1561660 1639743 1658400 1787660 1873992 1898400 1909924 1915350 1934800 1952075 2043040 2145192 2186324 2234575 2321760 2342490 2387405 2498656 2553800 2681490 2732905 2860256 2864886 2902200 3064560 3123320 3279486 3342367 3575320 3747984 3819848 3830700 3869600 3904150 4290384 4372648 4469150 4684980 4774810 5107600 5362980 5465810 5729772 5804400 5856225 6129120 6246640 6558972 6684734 6703725 7150640 7162215 7495968 7639696 7661400 7808300 8198715 8580768 8745296 8823379 8938300 9369960 9549620 10027101 10215200 10725960 10931620 11459544 11608800 11712450 11937025 12493280 13117944 13369468 13407450 13664525 14301280 14324430 15279392 15322800 15616600 16397430 16711835 17490592 17646758 17876600 18739920 19099240 20054202 21451920 21863240 22919088 23424900 23874050 26235888 26470137 26738936 26814900 27329050 28648860 30645600 31233200 32794860 33423670 35293516 35753200 35811075 37479840 38198480 40108404 40993575 42903840 43726480 44116895 45838176 46849800 47748100 50135505 52471776 52940274 53477872 53629800 53955353 54658100 57297720 61763653 62466400 65589720 66847340 70587032 71506400 71622150 76396960 80216808 81987150 83559175 87452960 88233790 93699600 95496200 100271010 105880548 106955744 107259600 107910706 109316200 114595440 123527306 131179440 132350685 133694680 141174064 143244300 160433616 161866059 163974300 167118350 176467580 185290959 187399200 190992400 200542020 211761096 214519200 215821412 218632400 220584475 229190880 247054612 250677525 262358880 264701370 267389360 269776765 282348128 286488600 308818265 320867232 323732118 327948600 334236700 352935160 370581918 377687471 381984800 401084040 423522192 431642824 437264800 441168950 494109224 501355050 529402740 534778720 539553530 572977200 617636530 647464236 655897200 661753425 668473400 705870320 741163836 755374942 802168080 809330295 847044384 863285648 882337900 926454795 988218448 1002710100 1058805480 1079107060 1133062413 1145954400 1235273060 1294928472 1311794400 1323506850 1336946800 1348883825 1411740640 1482327672 1510749884 1544091325 1604336160 1618660590 1726571296 1764675800 1852909590 1888437355 1976436896 2005420200 2117610960 2158214120 2266124826 2470546120 2589856944 2647013700 2673893600 2697767650 2964655344 3021499768 3088182650 3237321180 3529351600 3705819180 3776874710 4010840400 4046651475 4235221920 4316428240 4532249652 4632273975 4941092240 5179713888 5294027400 5395535300 5665312065 5929310688 6042999536 6096954889 6176365300 6474642360 7058703200 7411638360 7553749420 8021680800 8093302950 8632856480 9064499304 9264547950 9442186775 9882184480 10588054800 10791070600 11330624130 12085999072 12193909778 12352730600 12949284720 14823276720 15107498840 16186605900 18128998608 18290864667 18529095900 18884373550 21176109600 21582141200 22661248260 24387819556 24705461200 25898569440 28326560325 29646553440 30214997680 30484774445 32373211800 36257997216 36581729334 37058191800 37768747100 42678684223 43164282400 45322496520 48775639112 49410922400 56653120650 60429995360 60969548890 64746423600 73163458668 74116383600 75537494200 85357368446 90644993040 91454323335 97551278224 113306241300 121939097780 128036052669 129492847200 146326917336 148232767200 151074988400 152423872225 170714736892 181289986080 182908646670 195102556448 213393421115 226612482600 243878195560 256072105338 292653834672 302149976800 304847744450 341429473784 365817293340 426786842230 453224965200 457271616675 487756391120 512144210676 585307669344 609695488900 640180263345 682858947568 731634586680 853573684460 906449930400 914543233350 975512782240 1024288421352 1066967105575 1219390977800 1280360526690 1365717895136 1463269173360 1707147368920 1829086466700 2048576842704 2133934211150 2438781955600 2560721053380 2926538346720 3200901316725 3414294737840 3658172933400 4097153685408 4267868422300 4877563911200 5121442106760 6401802633450 6828589475680 7316345866800 8535736844600 10242884213520 12803605266900 14632691733600 17071473689200 20485768427040 25607210533800 34142947378400 51214421067600 102428842135200
- Sum of all divisors σ(n): 384994281226464
- Sum of proper divisors (its aliquot sum) s(n): 282565439091264
- 102428842135200 is an abundant number, because the sum of its proper divisors (282565439091264) is greater than itself. Its abundance is 180136596956064
Bases of 102428842135200
- Binary: 101110100101000100100101100000000001110101000002
- Hexadecimal: 0x5D2892C00EA0
- Base-36: 10B35RZ0YO
Squares and roots of 102428842135200
- 102428842135200 squared (1024288421352002) is 10491667701157722895079040000
- 102428842135200 cubed (1024288421352003) is 1074649374696861088696357701086366208000000
-
The
square root of 102428842135200 is 10120713.5190756191 -
The
cube root of 102428842135200 is 46788.6758425625
Scales and comparisons
How big is 102428842135200?- 102,428,842,135,200 seconds is equal to 3,256,920 years, 18 weeks, 4 hours, 40 minutes.
-
To count from 1 to 102,428,842,135,200 would take you about eight million, one hundred forty-two thousand, three hundred 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 102428842135200 cubic inches would be around 3899.1 feet tall.
Recreational maths with 102428842135200
- 102428842135200 backwards is 002531248824201
- 102428842135200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 102428842135200's digits is 42
- More coming soon!
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