4135886438400

Names of 4135886438400

• Cardinal: 4135886438400 can be written as Four trillion, one hundred thirty-five billion, eight hundred eighty-six million, four hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.1358864384 × 10¹²

Factors of 4135886438400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 29

Divisors of 4135886438400

• Number of divisors d(n): 1170
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 128 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 243 256 270 285 288 300 304 320 324 342 360 380 384 400 405 432 450 456 475 480 486 512 513 540 570 576 600 608 640 648 675 684 720 729 760 768 800 810 855 864 900 912 950 960 972 1024 1026 1080 1140 1152 1200 1215 1216 1280 1296 1350 1368 1425 1440 1458 1520 1536 1539 1600 1620 1710 1728 1800 1824 1900 1920 1944 2025 2048 2052 2160 2187 2280 2304 2400 2430 2432 2560 2565 2592 2700 2736 2850 2880 2916 3040 3072 3078 3200 3240 3420 3456 3600 3645 3648 3800 3840 3888 4050 4096 4104 4275 4320 4374 4560 4608 4617 4800 4860 4864 5120 5130 5184 5400 5472 5700 5760 5832 6075 6080 6144 6156 6400 6480 6561 6840 6912 7200 7290 7296 7600 7680 7695 7776 8100 8192 8208 8550 8640 8748 9120 9216 9234 9600 9720 9728 10240 10260 10368 10800 10935 10944 11400 11520 11664 12150 12160 12288 12312 12800 12825 12960 13122 13680 13824 13851 14400 14580 14592 15200 15360 15390 15552 16200 16384 16416 17100 17280 17496 18225 18240 18432 18468 19200 19440 19456 19683 20480 20520 20736 21600 21870 21888 22800 23040 23085 23328 24300 24320 24576 24624 25600 25650 25920 26244 27360 27648 27702 28800 29160 29184 30400 30720 30780 31104 32400 32805 32832 34200 34560 34992 36450 36480 36864 36936 38400 38475 38880 38912 39366 40960 41040 41472 41553 43200 43740 43776 45600 46080 46170 46656 48600 48640 49152 49248 51200 51300 51840 52488 54675 54720 55296 55404 57600 58320 58368 59049 60800 61440 61560 62208 64800 65610 65664 68400 69120 69255 69984 72900 72960 73728 73872 76800 76950 77760 77824 78732 81920 82080 82944 83106 86400 87480 87552 91200 92160 92340 93312 97200 97280 98415 98496 102400 102600 103680 104976 109350 109440 110592 110808 115200 115425 116640 116736 118098 121600 122880 123120 124416 124659 129600 131220 131328 136800 138240 138510 139968 145800 145920 147456 147744 153600 153900 155520 155648 157464 164025 164160 165888 166212 172800 174960 175104 177147 182400 184320 184680 186624 194400 194560 196830 196992 204800 205200 207360 207765 209952 218700 218880 221184 221616 230400 230850 233280 233472 236196 243200 245760 246240 248832 249318 259200 262440 262656 273600 276480 277020 279936 291600 291840 295245 295488 307200 307800 311040 311296 314928 328050 328320 331776 332424 345600 346275 349920 350208 354294 364800 368640 369360 373248 373977 388800 389120 393660 393984 409600 410400 414720 415530 419904 437400 437760 442368 443232 460800 461700 466560 466944 472392 486400 492075 492480 497664 498636 518400 524880 525312 531441 547200 552960 554040 559872 583200 583680 590490 590976 614400 615600 622080 623295 629856 656100 656640 663552 664848 691200 692550 699840 700416 708588 729600 737280 738720 746496 747954 777600 778240 787320 787968 820800 829440 831060 839808 874800 875520 885735 886464 921600 923400 933120 933888 944784 972800 984150 984960 995328 997272 1036800 1038825 1049760 1050624 1062882 1094400 1105920 1108080 1119744 1121931 1166400 1167360 1180980 1181952 1228800 1231200 1244160 1246590 1259712 1312200 1313280 1327104 1329696 1382400 1385100 1399680 1400832 1417176 1459200 1476225 1477440 1492992 1495908 1555200 1556480 1574640 1575936 1641600 1658880 1662120 1679616 1749600 1751040 1771470 1772928 1843200 1846800 1866240 1869885 1889568 1945600 1968300 1969920 1990656 1994544 2073600 2077650 2099520 2101248 2125764 2188800 2211840 2216160 2239488 2243862 2332800 2334720 2361960 2363904 2462400 2488320 2493180 2519424 2624400 2626560 2657205 2659392 2764800 2770200 2799360 2801664 2834352 2918400 2952450 2954880 2985984 2991816 3110400 3116475 3149280 3151872 3283200 3317760 3324240 3359232 3365793 3499200 3502080 3542940 3545856 3686400 3693600 3732480 3739770 3779136 3891200 3936600 3939840 3981312 3989088 4147200 4155300 4199040 4202496 4251528 4377600 4428675 4432320 4478976 4487724 4665600 4669440 4723920 4727808 4924800 4976640 4986360 5038848 5248800 5253120 5314410 5318784 5529600 5540400 5598720 5609655 5668704 5836800 5904900 5909760 5971968 5983632 6220800 6232950 6298560 6303744 6566400 6635520 6648480 6718464 6731586 6998400 7004160 7085880 7091712 7387200 7464960 7479540 7558272 7782400 7873200 7879680 7978176 8294400 8310600 8398080 8404992 8503056 8755200 8857350 8864640 8957952 8975448 9331200 9349425 9447840 9455616 9849600 9953280 9972720 10077696 10097379 10497600 10506240 10628820 10637568 11059200 11080800 11197440 11219310 11337408 11673600 11809800 11819520 11943936 11967264 12441600 12465900 12597120 12607488 13132800 13286025 13296960 13436928 13463172 13996800 14008320 14171760 14183424 14774400 14929920 14959080 15116544 15746400 15759360 15956352 16588800 16621200 16796160 16828965 17006112 17510400 17714700 17729280 17915904 17950896 18662400 18698850 18895680 18911232 19699200 19906560 19945440 20155392 20194758 20995200 21012480 21257640 21275136 22161600 22394880 22438620 22674816 23347200 23619600 23639040 23934528 24883200 24931800 25194240 25214976 26265600 26572050 26593920 26873856 26926344 27993600 28048275 28343520 28366848 29548800 29859840 29918160 30233088 31492800 31518720 31912704 33177600 33242400 33592320 33657930 34012224 35020800 35429400 35458560 35831808 35901792 37324800 37397700 37791360 37822464 39398400 39890880 40310784 40389516 41990400 42024960 42515280 42550272 44323200 44789760 44877240 45349632 47239200 47278080 47869056 49766400 49863600 50388480 50486895 52531200 53144100 53187840 53747712 53852688 55987200 56096550 56687040 56733696 59097600 59719680 59836320 60466176 62985600 63037440 63825408 66484800 67184640 67315860 68024448 70041600 70858800 70917120 71803584 74649600 74795400 75582720 75644928 78796800 79781760 80621568 80779032 83980800 84144825 85030560 85100544 88646400 89579520 89754480 90699264 94478400 94556160 95738112 99532800 99727200 100776960 100973790 105062400 106288200 106375680 107495424 107705376 111974400 112193100 113374080 113467392 118195200 119672640 120932352 125971200 126074880 127650816 132969600 134369280 134631720 136048896 141717600 141834240 143607168 149299200 149590800 151165440 157593600 159563520 161243136 161558064 167961600 168289650 170061120 170201088 177292800 179159040 179508960 181398528 188956800 189112320 191476224 199454400 201553920 201947580 210124800 212576400 212751360 215410752 223948800 224386200 226748160 226934784 236390400 239345280 241864704 251942400 252434475 255301632 265939200 268738560 269263440 272097792 283435200 283668480 287214336 298598400 299181600 302330880 315187200 319127040 322486272 323116128 335923200 336579300 340122240 340402176 354585600 359017920 362797056 377913600 378224640 382952448 398908800 403107840 403895160 425152800 425502720 430821504 447897600 448772400 453496320 472780800 478690560 483729408 503884800 504868950 510603264 531878400 537477120 538526880 544195584 566870400 567336960 574428672 598363200 604661760 630374400 638254080 646232256 671846400 673158600 680244480 680804352 709171200 718035840 725594112 755827200 765904896 797817600 806215680 807790320 850305600 851005440 861643008 895795200 897544800 906992640 945561600 957381120 967458816 1007769600 1009737900 1021206528 1063756800 1077053760 1088391168 1133740800 1134673920 1148857344 1196726400 1209323520 1276508160 1292464512 1343692800 1346317200 1360488960 1418342400 1436071680 1451188224 1511654400 1531809792 1595635200 1612431360 1615580640 1700611200 1702010880 1723286016 1795089600 1813985280 1891123200 1914762240 2015539200 2019475800 2042413056 2127513600 2154107520 2176782336 2267481600 2297714688 2393452800 2418647040 2553016320 2584929024 2687385600 2692634400 2720977920 2836684800 2872143360 2902376448 3023308800 3063619584 3191270400 3231161280 3401222400 3404021760 3446572032 3590179200 3627970560 3829524480 4031078400 4038951600 4255027200 4308215040 4353564672 4534963200 4595429376 4786905600 4837294080 5106032640 5169858048 5385268800 5441955840 5673369600 5744286720 6046617600 6127239168 6382540800 6462322560 6802444800 6893144064 7180358400 7255941120 7659048960 8062156800 8077903200 8510054400 8616430080 8707129344 9069926400 9190858752 9573811200 10212065280 10339716096 10770537600 10883911680 11488573440 12093235200 12765081600 12924645120 13604889600 13786288128 14360716800 14511882240 15318097920 16155806400 17020108800 17232860160 18139852800 18381717504 19147622400 20679432192 21541075200 21767823360 22977146880 24186470400 25530163200 25849290240 27209779200 27572576256 28721433600 30636195840 32311612800 34465720320 36279705600 38295244800 41358864384 43082150400 43535646720 45954293760 51060326400 51698580480 54419558400 55145152512 57442867200 64623225600 68931440640 72559411200 76590489600 82717728768 86164300800 91908587520 103397160960 108839116800 114885734400 129246451200 137862881280 153180979200 165435457536 172328601600 206794321920 217678233600 229771468800 258492902400 275725762560 344657203200 413588643840 459542937600 516985804800 689314406400 827177287680 1033971609600 1378628812800 2067943219200 4135886438400
• Sum of all divisors σ(n): 16194756181940
• Sum of proper divisors (its aliquot sum) s(n): 12058869743540
• 4135886438400 is an abundant number, because the sum of its proper divisors (12058869743540) is greater than itself. Its abundance is 7922983305140

Bases of 4135886438400

• Binary: 111100001011110110000010101100000000000000₂
• Hexadecimal: 0x3C2F60AC000
• Base-36: 1GS000000

Squares and roots of 4135886438400

• 4135886438400 squared (4135886438400²) is 17105556631341036994560000
• 4135886438400 cubed (4135886438400³) is 70746639692846583311193398575104000000
• The square root of 4135886438400 is 2033687.8910983367
• The cube root of 4135886438400 is 16051.7677920069

Scales and comparisons

• 4,135,886,438,400 seconds is equal to 131,508 years, 20 weeks, 4 days.
• To count from 1 to 4,135,886,438,400 would take you about three hundred twenty-eight thousand, seven hundred seventy 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 4135886438400 cubic inches would be around 1337.6 feet tall.

Recreational maths with 4135886438400

• 4135886438400 backwards is 0048346885314
• 4135886438400 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4135886438400's digits is 54
• More coming soon!