107142438963200
107,142,438,963,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107142438963200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
107142438963200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 107142438963200:
211 × 52 × 17 × 29 × 37 × 89 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 29 × 37 × 89 × 1289)See below for interesting mathematical facts about the number 107142438963200 from the Numbermatics database.
Names of 107142438963200
- Cardinal: 107142438963200 can be written as One hundred seven trillion, one hundred forty-two billion, four hundred thirty-eight million, nine hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.071424389632 × 1014
Factors of 107142438963200
Divisors of 107142438963200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 37 40 50 58 64 68 74 80 85 89 100 116 128 136 145 148 160 170 178 185 200 232 256 272 290 296 320 340 356 370 400 425 445 464 493 512 544 580 592 629 640 680 712 725 740 800 850 890 925 928 986 1024 1073 1088 1160 1184 1258 1280 1289 1360 1424 1450 1480 1513 1600 1700 1780 1850 1856 1972 2048 2146 2176 2225 2320 2368 2465 2516 2560 2578 2581 2720 2848 2900 2960 3026 3145 3200 3293 3400 3560 3700 3712 3944 4292 4352 4450 4640 4736 4930 5032 5120 5156 5162 5365 5440 5696 5800 5920 6052 6290 6400 6445 6586 6800 7120 7400 7424 7565 7888 8584 8704 8900 9280 9472 9860 10064 10240 10312 10324 10730 10880 11392 11600 11840 12104 12325 12580 12800 12890 12905 13172 13600 14240 14800 14848 15130 15725 15776 16465 17168 17408 17800 18241 18560 18944 19720 20128 20624 20648 21460 21760 21913 22784 23200 23680 24208 24650 25160 25600 25780 25810 26344 26825 27200 28480 29600 29696 30260 31450 31552 32225 32930 34336 34816 35600 36482 37120 37381 37825 37888 39440 40256 41248 41296 42920 43520 43826 43877 45568 46400 47360 47693 48416 49300 50320 51200 51560 51620 52688 53650 54400 55981 56960 59200 59392 60520 62900 63104 64450 64525 65860 68672 71200 72964 74240 74762 75650 75776 78880 80512 82325 82496 82592 85840 87040 87652 87754 91136 91205 92800 94720 95386 95497 96832 98600 100640 103120 103240 105376 107300 108800 109565 111962 113920 114721 118400 121040 125800 126208 128900 129050 131720 137344 142400 145928 148480 149524 151300 157760 161024 164650 164992 165184 171680 174080 175304 175508 182272 182410 185600 186905 189440 190772 190994 193664 197200 201280 206240 206480 210752 214600 217600 219130 219385 223924 227840 229442 236800 238465 242080 251600 252416 257800 258100 263440 274688 279905 284800 291856 296960 299048 302600 315520 322048 329300 329984 330368 343360 350608 351016 364820 371200 373810 378880 381544 381988 387328 394400 402560 412480 412960 421504 429200 435200 438260 438770 447848 455680 456025 458884 473600 476930 477485 484160 503200 504832 515600 516200 526880 547825 549376 559810 569600 573605 583712 598096 605200 631040 635477 644096 658600 659968 660736 686720 701216 702032 729640 742400 747620 763088 763976 774656 788800 805120 810781 824960 825920 843008 858400 870400 876520 877540 895696 911360 912050 917768 934525 947200 953860 954970 968320 1006400 1009664 1031200 1032400 1053760 1095650 1096925 1098752 1119620 1139200 1147210 1167424 1192325 1196192 1210400 1262080 1270954 1288192 1317200 1319936 1321472 1373440 1383097 1399525 1402432 1404064 1459280 1484800 1495240 1526176 1527952 1549312 1577600 1610240 1621562 1623449 1649920 1651840 1686016 1716800 1753040 1755080 1791392 1824100 1835536 1869050 1894400 1907720 1909940 1936640 1950257 2012800 2062400 2064800 2107520 2191300 2193850 2197504 2239240 2278400 2294420 2334848 2384650 2387425 2392384 2420800 2524160 2541908 2634400 2639872 2642944 2746880 2766194 2799050 2804864 2808128 2868025 2918560 2990480 3052352 3055904 3098624 3155200 3177385 3220480 3243124 3246898 3299840 3303680 3326909 3372032 3433600 3506080 3510160 3582784 3648200 3671072 3738100 3815440 3819880 3873280 3900514 4025600 4053905 4124800 4129600 4215040 4244677 4382600 4387700 4478480 4556800 4588840 4669696 4769300 4774850 4784768 4841600 5048320 5083816 5268800 5285888 5493760 5532388 5598100 5609728 5616256 5736050 5837120 5980960 6104704 6111808 6310400 6354770 6440960 6486248 6493796 6599680 6607360 6653818 6744064 6867200 6915485 7012160 7020320 7165568 7296400 7342144 7476200 7630880 7639760 7746560 7801028 8051200 8107810 8117245 8249600 8259200 8430080 8489354 8765200 8775400 8956960 9177680 9339392 9538600 9549700 9569536 9683200 9751285 10167632 10537600 10987520 11064776 11196200 11219456 11232512 11472100 11674240 11961920 12209408 12223616 12620800 12709540 12972496 12987592 13199360 13214720 13307636 13734400 13830970 14024320 14040640 14331136 14592800 14684288 14952400 15261760 15279520 15493120 15602056 15886925 16102400 16215620 16234490 16499200 16518400 16634545 16860160 16978708 17530400 17550800 17913920 18355360 18678784 19077200 19099400 19139072 19366400 19502570 20269525 20335264 21075200 21223385 22129552 22392400 22438912 22465024 22944200 23348480 23512649 23923840 24418816 24447232 25241600 25419080 25944992 25975184 26429440 26615272 27468800 27661940 28048640 28081280 28662272 29185600 29368576 29904800 30523520 30559040 31204112 31773850 32204800 32431240 32468980 32998400 33036800 33269090 33720320 33957416 34577425 35060800 35101600 35827840 36710720 37357568 38154400 38198800 38278144 38732800 39005140 40539050 40586225 40670528 42150400 42446770 44259104 44784800 44877824 44930048 45888400 46696960 47025298 47847680 48756425 48837632 48894464 50838160 51889984 51950368 53230544 54937600 55323880 56097280 56162560 56557453 57324544 58371200 58737152 59809600 61047040 61118080 62408224 63547700 64862480 64937960 65996800 66073600 66538180 67914832 69154850 70121600 70203200 71655680 72159509 73421440 76308800 76397600 76556288 77465600 78010280 81078100 81172450 81341056 83172725 84300800 84893540 88518208 89569600 89860096 91776800 93393920 94050596 95695360 97512850 97675264 97788928 101676320 103779968 103900736 106116925 106461088 110647760 112194560 112325120 113114906 114649088 116742400 117474304 117563245 119619200 122094080 122236160 123095633 124816448 127095400 129724960 129875920 132147200 133076360 135829664 138309700 140243200 140406400 143311360 144319018 146842880 152617600 152795200 156020560 162156200 162344900 162682112 166345450 168601600 169787080 177036416 179139200 183553600 186787840 188101192 191390720 195025700 195577856 203352640 207559936 207801472 212233850 212922176 221295520 224389120 224650240 226229812 233484800 234948608 235126490 239238400 244188160 244472320 246191266 249632896 254190800 259449920 259751840 266152720 271659328 276619400 280486400 280812800 282787265 286622720 288638036 293685760 305235200 305590400 312041120 324312400 324689800 325364224 332690900 339574160 354072832 358278400 360797545 367107200 376202384 382781440 390051400 406705280 415119872 415602944 424467700 425844352 442591040 449300480 452459624 466969600 470252980 478476800 488376320 488944640 492382532 499265792 508381600 518899840 519503680 532305440 543318656 553238800 560972800 561625600 565574530 573245440 577276072 587371520 587816225 610470400 611180800 615478165 624082240 648624800 649379600 650728448 665381800 679148320 708145664 716556800 721595090 734214400 752404768 780102800 813410560 830239744 831205888 848935400 851688704 885182080 904919248 933939200 940505960 956953600 977889280 984765064 998531584 1016763200 1037799680 1039007360 1064610880 1086637312 1106477600 1121945600 1123251200 1131149060 1154552144 1174743040 1175632450 1220940800 1222361600 1230956330 1248164480 1297249600 1298759200 1301456896 1330763600 1358296640 1413936325 1416291328 1433113600 1443190180 1468428800 1504809536 1560205600 1626821120 1660479488 1662411776 1697870800 1703377408 1770364160 1803987725 1809838496 1881011920 1913907200 1969530128 1997063168 2033526400 2075599360 2078014720 2092625761 2129221760 2173274624 2212955200 2246502400 2262298120 2309104288 2351264900 2441881600 2444723200 2461912660 2496328960 2594499200 2597518400 2661527200 2716593280 2827872650 2832582656 2866227200 2886380360 2936857600 3009619072 3077390825 3120411200 3253642240 3324823552 3395741600 3406754816 3540728320 3607975450 3619676992 3762023840 3939060256 3994126336 4067052800 4151198720 4156029440 4185251522 4258443520 4346549248 4425910400 4524596240 4618208576 4702529800 4889446400 4923825320 4992657920 5188998400 5195036800 5323054400 5433186560 5655745300 5772760720 5873715200 6019238144 6154781650 6240822400 6507284480 6791483200 6813509632 7081456640 7215950900 7239353984 7524047680 7878120512 8134105600 8302397440 8312058880 8370503044 8516887040 8693098496 8851820800 9049192480 9236417152 9405059600 9847650640 9985315840 10377996800 10390073600 10463128805 10646108800 10866373120 11311490600 11545521440 12038476288 12309563300 12481644800 13582966400 14162913280 14431901800 14478707968 15048095360 15756241024 16268211200 16624117760 16741006088 17033774080 17703641600 18098384960 18472834304 18810119200 19695301280 19970631680 20755993600 20780147200 20926257610 21292217600 21732746240 22622981200 23091042880 24076952576 24619126600 24963289600 27165932800 28863803600 28957415936 30096190720 31512482048 32536422400 33482012176 34067548160 35407283200 36196769920 36945668608 37620238400 39390602560 41511987200 41560294400 41852515220 42584435200 43465492480 45245962400 46182085760 48153905152 49238253200 49926579200 52315644025 54331865600 57727607200 57914831872 60192381440 63024964096 66964024352 70814566400 72393539840 73891337216 75240476800 78781205120 83120588800 83705030440 85168870400 90491924800 92364171520 98476506400 99853158400 104631288050 108663731200 115455214400 115829663744 120384762880 126049928192 133928048704 144787079680 147782674432 150480953600 157562410240 167410060880 170337740800 180983849600 184728343040 196953012800 209262576100 217327462400 230910428800 240769525760 252099856384 267856097408 289574159360 300961907200 315124820480 334820121760 361967699200 369456686080 393906025600 418525152200 461820857600 535712194816 579148318720 601923814400 630249640960 669640243520 723935398400 738913372160 787812051200 837050304400 923641715200 1071424389632 1203847628800 1260499281920 1339280487040 1447870796800 1575624102400 1674100608800 1847283430400 2142848779264 2678560974080 2895741593600 3151248204800 3348201217600 3694566860800 4285697558528 5357121948160 6302496409600 6696402435200 10714243896320 13392804870400 21428487792640 26785609740800 53571219481600 107142438963200
- Sum of all divisors σ(n): 302430213540000
- Sum of proper divisors (its aliquot sum) s(n): 195287774576800
- 107142438963200 is an abundant number, because the sum of its proper divisors (195287774576800) is greater than itself. Its abundance is 88145335613600
Bases of 107142438963200
- Binary: 110000101110010000010110000001111001000000000002
- Hexadecimal: 0x61720B03C800
- Base-36: 11Z8K1TMGW
Squares and roots of 107142438963200
- 107142438963200 squared (1071424389632002) is 11479502226983037490954240000
- 107142438963200 cubed (1071424389632003) is 1229941866682448566456301931324243968000000
-
The
square root of 107142438963200 is 10350963.1901190721 -
The
cube root of 107142438963200 is 47495.6507874869
Scales and comparisons
How big is 107142438963200?- 107,142,438,963,200 seconds is equal to 3,406,798 years, 7 weeks, 4 days, 53 minutes, 20 seconds.
-
To count from 1 to 107,142,438,963,200 would take you about eight million, five hundred sixteen thousand, nine hundred ninety-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 107142438963200 cubic inches would be around 3958 feet tall.
Recreational maths with 107142438963200
- 107142438963200 backwards is 002369834241701
- 107142438963200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107142438963200's digits is 50
- More coming soon!
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The information we have on file for 107142438963200 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!
Keywords: Divisors of 107142438963200, math, Factors of 107142438963200, curriculum, school, college, exams, university, Prime factorization of 107142438963200, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven trillion, one hundred forty-two billion, four hundred thirty-eight million, nine hundred sixty-three thousand, two hundred.