138419365990400
138,419,365,990,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138419365990400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 936 divisors.
138419365990400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 138419365990400:
212 × 52 × 113 × 31 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 31 × 181 × 181)See below for interesting mathematical facts about the number 138419365990400 from the Numbermatics database.
Names of 138419365990400
- Cardinal: 138419365990400 can be written as One hundred thirty-eight trillion, four hundred nineteen billion, three hundred sixty-five million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.384193659904 × 1014
Factors of 138419365990400
Divisors of 138419365990400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 80 88 100 110 121 124 128 155 160 176 181 200 220 242 248 256 275 310 320 341 352 362 400 440 484 496 512 550 605 620 640 682 704 724 775 800 880 905 968 992 1024 1100 1210 1240 1280 1331 1364 1408 1448 1550 1600 1705 1760 1810 1936 1984 1991 2048 2200 2420 2480 2560 2662 2728 2816 2896 3025 3100 3200 3410 3520 3620 3751 3872 3968 3982 4096 4400 4525 4840 4960 5120 5324 5456 5611 5632 5792 6050 6200 6400 6655 6820 7040 7240 7502 7744 7936 7964 8525 8800 9050 9680 9920 9955 10240 10648 10912 11222 11264 11584 12100 12400 12800 13310 13640 14080 14480 15004 15488 15872 15928 17050 17600 18100 18755 19360 19840 19910 20480 21296 21824 21901 22444 22528 23168 24200 24800 25600 26620 27280 28055 28160 28960 30008 30976 31744 31856 32761 33275 34100 35200 36200 37510 38720 39680 39820 41261 42592 43648 43802 44888 45056 46336 48400 49600 49775 51200 53240 54560 56110 56320 57920 60016 61721 61952 63488 63712 65522 66550 68200 70400 72400 75020 77440 79360 79640 82522 85184 87296 87604 89776 92672 93775 96800 99200 99550 102400 106480 109120 109505 112220 112640 115840 120032 123442 123904 126976 127424 131044 133100 136400 140275 140800 144800 150040 154880 158720 159280 163805 165044 170368 174592 175208 179552 185344 187550 193600 198400 199100 206305 212960 218240 219010 224440 225280 231680 240064 240911 246884 247808 254848 262088 266200 272800 280550 281600 289600 300080 308605 309760 317440 318560 327610 330088 340736 349184 350416 359104 360371 370688 375100 387200 396800 398200 412610 425920 436480 438020 448880 463360 480128 481822 493768 495616 509696 524176 532400 545600 547525 561100 563200 579200 600160 617210 619520 634880 637120 655220 660176 678931 681472 698368 700832 718208 720742 741376 750200 774400 793600 796400 819025 825220 851840 872960 876040 897760 926720 960256 963644 987536 1015591 1019392 1031525 1048352 1064800 1091200 1095050 1122200 1126400 1158400 1200320 1204555 1234420 1239040 1274240 1310440 1320352 1357862 1362944 1396736 1401664 1436416 1441484 1500400 1543025 1548800 1587200 1592800 1638050 1650440 1703680 1745920 1752080 1795520 1801855 1853440 1920512 1927288 1975072 2031182 2038784 2063050 2096704 2129600 2182400 2190100 2244400 2316800 2400640 2409110 2468840 2478080 2548480 2620880 2640704 2715724 2725888 2803328 2872832 2882968 3000800 3086050 3097600 3174400 3185600 3276100 3300880 3394655 3407360 3491840 3504160 3591040 3603710 3706880 3841024 3854576 3950144 3964081 4062364 4077568 4126100 4193408 4259200 4364800 4380200 4488800 4633600 4801280 4818220 4937680 5077955 5096960 5241760 5281408 5431448 5451776 5606656 5745664 5765936 6001600 6022775 6172100 6195200 6371200 6552200 6601760 6789310 6814720 6983680 7008320 7182080 7207420 7468241 7682048 7709152 7900288 7928162 8124728 8155136 8252200 8386816 8518400 8729600 8760400 8977600 9009275 9267200 9602560 9636440 9875360 10155910 10193920 10483520 10562816 10862896 11171501 11213312 11491328 11531872 12003200 12045550 12344200 12390400 12742400 13104400 13203520 13578620 13629440 14016640 14364160 14414840 14936482 15364096 15418304 15800576 15856324 16249456 16504400 16773632 16973275 17036800 17459200 17520800 17955200 18018550 18534400 19205120 19272880 19750720 19820405 20311820 20387840 20967040 21125632 21725792 22343002 22426624 22982656 23063744 24006400 24091100 24688400 25389775 25484800 26208800 26407040 27157240 27258880 28033280 28728320 28829680 29872964 30836608 31601152 31712648 32498912 33008800 33547264 33946550 34073600 34918400 35041600 35910400 36037100 37341205 38410240 38545760 39501440 39640810 40623640 40775680 41934080 42251264 43451584 43604891 44686004 44853248 46127488 48012800 48182200 49376800 50779550 50969600 52417600 52814080 54314480 55857505 56066560 57456640 57659360 59745928 61673216 63202304 63425296 64997824 66017600 67094528 67893100 68147200 70083200 71820800 72074200 74682410 76820480 77091520 79002880 79281620 81247280 83868160 84502528 86903168 87209782 89372008 89706496 92254976 96025600 96364400 98753600 99102025 101559100 101939200 104835200 105628160 108628960 111715010 112133120 114913280 115318720 119491856 122886511 123346432 126404608 126850592 129995648 132035200 134189056 135786200 136294400 140166400 143641600 144148400 149364820 154183040 158005760 158563240 162494560 167736320 169005056 173806336 174419564 178744016 184509952 186706025 192051200 192728800 197507200 198204050 203118200 203878400 209670400 211256320 217257920 218024455 223430020 224266240 230637440 238983712 245773022 246692864 252809216 253701184 259991296 264070400 271572400 279287525 280332800 287283200 288296800 298729640 308366080 316011520 317126480 324989120 335472640 347612672 348839128 357488032 369019904 373412050 384102400 385457600 395014400 396408100 406236400 419340800 422512640 434515840 436048910 446860040 448532480 461274880 477967424 491546044 493385728 507402368 519982592 528140800 543144800 558575050 560665600 574566400 576593600 597459280 614432555 616732160 632023040 634252960 649978240 670945280 695225344 697678256 714976064 738039808 746824100 770915200 790028800 792816200 812472800 838681600 845025280 869031680 872097820 893720080 922549760 955934848 983092088 986771456 1014804736 1039965184 1056281600 1086289600 1090122275 1117150100 1121331200 1153187200 1194918560 1228865110 1233464320 1264046080 1268505920 1299956480 1351751621 1390450688 1395356512 1429952128 1476079616 1493648200 1541830400 1580057600 1585632400 1624945600 1677363200 1738063360 1744195640 1787440160 1845099520 1911869696 1966184176 2029609472 2079930368 2112563200 2172579200 2180244550 2234300200 2242662400 2306374400 2389837120 2457730220 2466928640 2537011840 2599912960 2703503242 2780901376 2790713024 2859904256 2987296400 3072162775 3083660800 3160115200 3171264800 3249891200 3354726400 3476126720 3488391280 3574880320 3690199040 3823739392 3932368352 4059218944 4159860736 4225126400 4345158400 4360489100 4468600400 4612748800 4779674240 4915460440 4933857280 5074023680 5199825920 5407006484 5581426048 5719808512 5974592800 6144325550 6167321600 6320230400 6342529600 6499782400 6758758105 6952253440 6976782560 7149760640 7380398080 7647478784 7864736704 8118437888 8690316800 8720978200 8937200800 9225497600 9559348480 9830920880 10148047360 10399651840 10814012968 11162852096 11439617024 11949185600 12288651100 12334643200 12685059200 12999564800 13517516210 13904506880 13953565120 14299521280 15294957568 15729473408 16236875776 17380633600 17441956400 17874401600 18450995200 19118696960 19661841760 20296094720 20799303680 21628025936 22325704192 22879234048 23898371200 24577302200 24669286400 25370118400 25999129600 27035032420 27907130240 28599042560 30589915136 31458946816 33793790525 34761267200 34883912800 35748803200 36901990400 38237393920 39323683520 40592189440 43256051872 44651408384 45758468096 47796742400 49154604400 50740236800 51998259200 54070064840 55814260480 57198085120 62917893632 67587581050 69522534400 69767825600 71497606400 76474787840 78647367040 81184378880 86512103744 89302816768 95593484800 98309208800 101480473600 103996518400 108140129680 111628520960 114396170240 125835787264 135175162100 139535651200 142995212800 152949575680 157294734080 173024207488 178605633536 191186969600 196618417600 202960947200 216280259360 223257041920 228792340480 251671574528 270350324200 279071302400 285990425600 314589468160 346048414976 382373939200 393236835200 405921894400 432560518720 446514083840 503343149056 540700648400 558142604800 571980851200 629178936320 692096829952 764747878400 786473670400 865121037440 893028167680 1081401296800 1116285209600 1143961702400 1258357872640 1384193659904 1572947340800 1730242074880 2162802593600 2232570419200 2516715745280 2768387319808 3145894681600 3460484149760 4325605187200 4465140838400 5536774639616 6291789363200 6920968299520 8651210374400 12583578726400 13841936599040 17302420748800 27683873198080 34604841497600 69209682995200 138419365990400
- Sum of all divisors σ(n): 391879748876544
- Sum of proper divisors (its aliquot sum) s(n): 253460382886144
- 138419365990400 is an abundant number, because the sum of its proper divisors (253460382886144) is greater than itself. Its abundance is 115041016895744
Bases of 138419365990400
- Binary: 111110111100100010001010010001111010000000000002
- Hexadecimal: 0x7DE44523D000
- Base-36: 1D2CZ8MMM8
Squares and roots of 138419365990400
- 138419365990400 squared (1384193659904002) is 19159920881184304172892160000
- 138419365990400 cubed (1384193659904003) is 2652104100799757472303517853510795264000000
-
The
square root of 138419365990400 is 11765175.9863760645 -
The
cube root of 138419365990400 is 51728.7858767783
Scales and comparisons
How big is 138419365990400?- 138,419,365,990,400 seconds is equal to 4,401,307 years, 35 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,419,365,990,400 would take you about eleven million, three thousand, two hundred sixty-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 138419365990400 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138419365990400
- 138419365990400 backwards is 004099563914831
- 138419365990400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138419365990400's digits is 62
- More coming soon!
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The information we have on file for 138419365990400 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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