138968614400
138,968,614,400 is an even composite number composed of seven prime numbers multiplied together.
138968614400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138968614400:
29 × 52 × 7 × 11 × 19 × 41 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 19 × 41 × 181)See below for interesting mathematical facts about the number 138968614400 from the Numbermatics database.
Names of 138968614400
- Cardinal: 138968614400 can be written as One hundred thirty-eight billion, nine hundred sixty-eight million, six hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.389686144 × 1011
Factors of 138968614400
Divisors of 138968614400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 32 35 38 40 41 44 50 55 56 64 70 76 77 80 82 88 95 100 110 112 128 133 140 152 154 160 164 175 176 181 190 200 205 209 220 224 256 266 275 280 287 304 308 320 328 350 352 362 380 385 400 410 418 440 448 451 475 512 532 550 560 574 608 616 640 656 665 700 704 724 760 770 779 800 820 836 880 896 902 905 950 1025 1045 1064 1100 1120 1148 1216 1232 1267 1280 1312 1330 1400 1408 1435 1448 1463 1520 1540 1558 1600 1640 1672 1760 1792 1804 1810 1900 1925 1991 2050 2090 2128 2200 2240 2255 2296 2432 2464 2534 2560 2624 2660 2800 2816 2870 2896 2926 3040 3080 3116 3157 3200 3280 3325 3344 3439 3520 3584 3608 3620 3800 3850 3895 3982 4100 4180 4256 4400 4480 4510 4525 4592 4864 4928 5068 5225 5248 5320 5453 5600 5632 5740 5792 5852 6080 6160 6232 6314 6335 6400 6560 6650 6688 6878 7040 7175 7216 7240 7315 7421 7600 7700 7790 7964 8200 8360 8512 8569 8800 8960 9020 9050 9184 9728 9856 9955 10136 10450 10496 10640 10906 11200 11275 11480 11584 11704 12160 12320 12464 12628 12670 12800 13120 13300 13376 13756 13937 14080 14350 14432 14480 14630 14842 15200 15400 15580 15785 15928 16400 16720 17024 17138 17195 17600 17920 18040 18100 18368 19475 19712 19910 20272 20900 20992 21280 21812 22400 22550 22960 23168 23408 24073 24320 24640 24928 25256 25340 26240 26600 26752 27265 27512 27874 28160 28700 28864 28960 29260 29684 30400 30800 31160 31570 31675 31856 32800 33440 34048 34276 34390 35200 36080 36200 36575 36736 37105 37829 38950 39424 39820 40544 41800 42560 42845 43624 44800 45100 45920 46336 46816 48146 48640 49280 49775 49856 50512 50680 51947 52480 53200 53504 54530 55024 55748 57400 57728 57920 58520 59368 59983 60800 61600 62320 63140 63350 63712 65600 66880 68096 68552 68780 69685 70400 72160 72400 73150 73472 74210 75658 77900 78925 79640 81088 81631 83600 85120 85690 85975 87248 89600 90200 91840 92672 93632 96292 98560 99550 99712 101024 101360 103894 104960 106400 107008 109060 110048 111496 114800 115456 115840 117040 118736 119966 120365 121600 123200 124640 126280 126700 127424 131200 133760 136325 137104 137560 139370 140800 140999 144320 144800 146300 146944 148420 151316 155800 157850 159280 162176 163262 167200 170240 171380 171950 174496 180400 183680 185525 187264 189145 192584 197120 199100 199424 202048 202720 207788 212800 214225 218120 220096 222992 229600 230912 231680 234080 237472 239932 240730 243200 246400 249280 252560 253400 254848 259735 262400 264803 267520 272650 274208 275120 278740 281998 288640 289600 292600 296840 299915 302632 311600 315700 318560 324352 326524 334400 340480 342760 343900 348425 348992 360800 367360 371050 374528 378290 385168 398200 398848 404096 405440 408155 415576 425600 428450 436240 440192 445984 459200 463360 468160 474944 479864 481460 492800 498560 505120 506800 509696 519470 524800 529606 535040 545300 548416 550240 557480 563996 571417 577280 579200 585200 593680 599830 601825 605264 623200 631400 637120 648704 653048 668800 685520 687800 696850 697984 704995 721600 734720 742100 749056 756580 770336 796400 808192 810880 816310 831152 851200 856900 872480 880384 891968 918400 936320 945725 949888 959728 962920 985600 986993 997120 1010240 1013600 1019392 1038940 1059212 1090600 1096832 1100480 1114960 1127992 1142834 1154560 1158400 1170400 1187360 1199660 1203650 1210528 1246400 1262800 1274240 1298675 1306096 1324015 1337600 1371040 1375600 1393700 1395968 1409990 1443200 1484200 1499575 1513160 1540672 1550989 1592800 1616384 1621760 1632620 1662304 1702400 1713800 1744960 1760768 1783936 1836800 1872640 1891450 1899776 1919456 1925840 1973986 1994240 2020480 2027200 2040775 2077880 2118424 2181200 2193664 2200960 2229920 2255984 2285668 2316800 2340800 2374720 2399320 2407300 2421056 2492800 2525600 2548480 2597350 2612192 2648030 2675200 2742080 2751200 2787400 2791936 2819980 2857085 2886400 2968400 2999150 3026320 3081344 3101978 3185600 3243520 3265240 3324608 3427600 3489920 3524975 3567872 3673600 3745280 3782900 3799552 3838912 3851680 3947972 4040960 4054400 4081550 4155760 4236848 4362400 4387328 4401920 4459840 4511968 4571336 4681600 4749440 4798640 4814600 4842112 4934965 4985600 5051200 5096960 5194700 5224384 5296060 5484160 5502400 5574800 5639960 5714170 5772800 5936800 5998300 6052640 6162688 6203956 6371200 6530480 6620075 6649216 6855200 6979840 7049950 7135744 7565800 7677824 7703360 7754945 7895944 8081920 8108800 8163100 8311520 8473696 8724800 8803840 8919680 9023936 9142672 9363200 9498880 9597280 9629200 9684224 9869930 9971200 10102400 10389400 10448768 10592120 10856923 10968320 11004800 11149600 11279920 11428340 11873600 11996600 12105280 12325376 12407912 12742400 13060960 13240150 13298432 13710400 13959680 14099900 14285425 15131600 15355648 15406720 15509890 15791888 16217600 16326200 16623040 16947392 17449600 17839360 18047872 18285344 18726400 18997760 19194560 19258400 19368448 19739860 20204800 20778800 20897536 21184240 21713846 21936640 22009600 22299200 22559840 22856680 23747200 23993200 24210560 24674825 24815824 25484800 26121920 26480300 26596864 27420800 28199800 28570850 30263200 30711296 30813440 31019780 31583776 32652400 33246080 33894784 34899200 35678720 36095744 36570688 38389120 38516800 38774725 39479720 40409600 41557600 41795072 42368480 43427692 44019200 44598400 45119680 45713360 47494400 47986400 48421120 49349650 49631648 52243840 52960600 54284615 54841600 56399600 57141700 60526400 61626880 62039560 63167552 65304800 66492160 67789568 69798400 72191488 73141376 76778240 77033600 77549450 78959440 83115200 84736960 86855384 89196800 90239360 91426720 94988800 95972800 96842240 98699300 99263296 104487680 105921200 108569230 109683200 112799200 114283400 121052800 124079120 126335104 130609600 132984320 135579136 146282752 153556480 154067200 155098900 157918880 166230400 169473920 173710768 178393600 180478720 182853440 191945600 197398600 198526592 208975360 211842400 217138460 225598400 228566800 242105600 248158240 252670208 261219200 271423075 292565504 308134400 310197800 315837760 332460800 338947840 347421536 360957440 365706880 383891200 394797200 397053184 423684800 434276920 451196800 457133600 484211200 496316480 505340416 522438400 542846150 620395600 631675520 664921600 677895680 694843072 731413760 767782400 789594400 794106368 847369600 868553840 902393600 914267200 992632960 1044876800 1085692300 1240791200 1263351040 1389686144 1462827520 1579188800 1694739200 1737107680 1804787200 1828534400 1985265920 2171384600 2481582400 2526702080 2779372288 3158377600 3389478400 3474215360 3657068800 3970531840 4342769200 4963164800 5558744576 6316755200 6948430720 7314137600 8685538400 9926329600 12633510400 13896861440 17371076800 19852659200 27793722880 34742153600 69484307200 138968614400
- Sum of all divisors σ(n): 465435210240
- Sum of proper divisors (its aliquot sum) s(n): 326466595840
- 138968614400 is an abundant number, because the sum of its proper divisors (326466595840) is greater than itself. Its abundance is 187497981440
Bases of 138968614400
- Binary: 100000010110110010110011000110000000002
- Hexadecimal: 0x205B2CC600
- Base-36: 1RUABP4W
Squares and roots of 138968614400
- 138968614400 squared (1389686144002) is 19312275788255887360000
- 138968614400 cubed (1389686144003) is 2683800207204588459061673984000000
-
The
square root of 138968614400 is 372784.9439019769 -
The
cube root of 138968614400 is 5179.7115565151
Scales and comparisons
How big is 138968614400?- 138,968,614,400 seconds is equal to 4,418 years, 40 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 138,968,614,400 would take you about eight thousand, eight 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 138968614400 cubic inches would be around 431.6 feet tall.
Recreational maths with 138968614400
- 138968614400 backwards is 004416869831
- 138968614400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138968614400's digits is 50
- More coming soon!
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The information we have on file for 138968614400 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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