138476851200
138,476,851,200 is an even composite number composed of six prime numbers multiplied together.
138476851200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 138476851200:
212 × 32 × 52 × 31 × 37 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 37 × 131)See below for interesting mathematical facts about the number 138476851200 from the Numbermatics database.
Names of 138476851200
- Cardinal: 138476851200 can be written as One hundred thirty-eight billion, four hundred seventy-six million, eight hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.384768512 × 1011
Factors of 138476851200
Divisors of 138476851200
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 37 40 45 48 50 60 62 64 72 74 75 80 90 93 96 100 111 120 124 128 131 144 148 150 155 160 180 185 186 192 200 222 225 240 248 256 262 279 288 296 300 310 320 333 360 370 372 384 393 400 444 450 465 480 496 512 524 555 558 576 592 600 620 640 655 666 720 740 744 768 775 786 800 888 900 925 930 960 992 1024 1048 1110 1116 1147 1152 1179 1184 1200 1240 1280 1310 1332 1395 1440 1480 1488 1536 1550 1572 1600 1665 1776 1800 1850 1860 1920 1965 1984 2048 2096 2220 2232 2294 2304 2325 2358 2368 2400 2480 2560 2620 2664 2775 2790 2880 2960 2976 3072 3100 3144 3200 3275 3330 3441 3552 3600 3700 3720 3840 3930 3968 4061 4096 4192 4440 4464 4588 4608 4650 4716 4736 4800 4847 4960 5120 5240 5328 5550 5580 5735 5760 5895 5920 5952 6144 6200 6288 6400 6550 6660 6882 6975 7104 7200 7400 7440 7680 7860 7936 8122 8325 8384 8880 8928 9176 9216 9300 9432 9472 9600 9694 9825 9920 10240 10323 10480 10656 11100 11160 11470 11520 11790 11840 11904 12183 12288 12400 12576 12800 13100 13320 13764 13950 14208 14400 14541 14800 14880 15360 15720 15872 16244 16650 16768 17205 17760 17856 18352 18432 18600 18864 18944 19200 19388 19650 19840 20305 20480 20646 20960 21312 22200 22320 22940 23040 23580 23680 23808 24235 24366 24800 25152 25600 26200 26640 27528 27900 28416 28675 28800 29082 29475 29600 29760 30720 31440 31744 32488 33300 33536 34410 35520 35712 36549 36704 36864 37200 37728 37888 38400 38776 39300 39680 40610 41292 41920 42624 43623 44400 44640 45880 46080 47160 47360 47616 48470 48732 49600 50304 51200 51615 52400 53280 55056 55800 56832 57350 57600 58164 58950 59200 59520 60915 61440 62880 63488 64976 66600 67072 68820 71040 71424 72705 73098 73408 74400 75456 75776 76800 77552 78600 79360 81220 82584 83840 85248 86025 87246 88800 89280 91760 92160 94320 94720 95232 96940 97464 99200 100608 101525 102400 103230 104800 106560 110112 111600 113664 114700 115200 116328 117900 118400 119040 121175 121830 125760 126976 129952 133200 134144 137640 142080 142848 145410 146196 146816 148800 150257 150912 151552 153600 155104 157200 158720 162440 165168 167680 170496 172050 174492 177600 178560 182745 183520 184320 188640 189440 190464 193880 194928 198400 201216 203050 206460 209600 213120 218115 220224 223200 227328 229400 230400 232656 235800 236800 238080 242350 243660 251520 258075 259904 266400 268288 275280 284160 285696 290820 292392 293632 297600 300514 301824 304575 307200 310208 314400 317440 324880 330336 335360 340992 344100 348984 355200 357120 363525 365490 367040 377280 378880 380928 387760 389856 396800 402432 406100 412920 419200 426240 436230 440448 446400 450771 454656 458800 460800 465312 471600 473600 476160 484700 487320 503040 516150 519808 532800 536576 550560 568320 571392 581640 584784 587264 595200 601028 603648 609150 620416 628800 634880 649760 660672 670720 681984 688200 697968 710400 714240 727050 730980 734080 751285 754560 757760 775520 779712 793600 804864 812200 825840 838400 852480 872460 880896 892800 901542 913725 917600 921600 930624 943200 947200 952320 969400 974640 1006080 1032300 1039616 1065600 1090575 1101120 1136640 1142784 1163280 1169568 1174528 1190400 1202056 1207296 1218300 1240832 1257600 1299520 1321344 1341440 1352313 1363968 1376400 1395936 1420800 1428480 1454100 1461960 1468160 1502570 1509120 1551040 1559424 1587200 1609728 1624400 1651680 1676800 1704960 1744920 1761792 1785600 1803084 1827450 1835200 1861248 1886400 1894400 1904640 1938800 1949280 2012160 2064600 2079232 2131200 2181150 2202240 2253855 2273280 2326560 2339136 2349056 2380800 2404112 2414592 2436600 2481664 2515200 2599040 2642688 2682880 2704626 2752800 2791872 2841600 2856960 2908200 2923920 2936320 3005140 3018240 3102080 3118848 3174400 3248800 3303360 3353600 3409920 3489840 3523584 3571200 3606168 3654900 3670400 3722496 3756425 3772800 3788800 3877600 3898560 4024320 4129200 4158464 4262400 4362300 4404480 4507710 4653120 4678272 4698112 4761600 4808224 4829184 4873200 4963328 5030400 5198080 5285376 5409252 5505600 5583744 5683200 5713920 5816400 5847840 5872640 6010280 6036480 6204160 6237696 6497600 6606720 6707200 6761565 6819840 6979680 7047168 7142400 7212336 7309800 7340800 7444992 7512850 7545600 7755200 7797120 8048640 8258400 8316928 8524800 8724600 8808960 9015420 9306240 9356544 9523200 9616448 9746400 9926656 10060800 10396160 10570752 10818504 11011200 11167488 11269275 11366400 11632800 11695680 11745280 12020560 12072960 12408320 12475392 12995200 13213440 13414400 13523130 13959360 14094336 14284800 14424672 14619600 14681600 14889984 15025700 15091200 15510400 15594240 16516800 16633856 17049600 17449200 17617920 18030840 18612480 18713088 19232896 19492800 19853312 20121600 20792320 21141504 21637008 22022400 22334976 22538550 23265600 23391360 23490560 24041120 24145920 24816640 24950784 25990400 26426880 27046260 27918720 28569600 28849344 29239200 29363200 29779968 30051400 30182400 31020800 31188480 33033600 33807825 34099200 34898400 35235840 36061680 37224960 37426176 38465792 38985600 40243200 41584640 42283008 43274016 44044800 44669952 45077100 46531200 46782720 48082240 49633280 49901568 51980800 52853760 54092520 55837440 57698688 58478400 58726400 59559936 60102800 60364800 62041600 62376960 66067200 67615650 69796800 70471680 72123360 74449920 74852352 76931584 77971200 83169280 86548032 88089600 89339904 90154200 93062400 93565440 96164480 99266560 103961600 105707520 108185040 111674880 115397376 116956800 117452800 120205600 120729600 124083200 124753920 132134400 135231300 139593600 144246720 148899840 149704704 153863168 155942400 173096064 176179200 178679808 180308400 186124800 187130880 192328960 207923200 211415040 216370080 223349760 230794752 233913600 240411200 248166400 249507840 264268800 270462600 279187200 288493440 297799680 307726336 311884800 346192128 352358400 360616800 372249600 374261760 384657920 415846400 432740160 446699520 461589504 467827200 480822400 496332800 528537600 540925200 558374400 576986880 615452672 623769600 692384256 721233600 744499200 748523520 769315840 865480320 893399040 923179008 935654400 961644800 1057075200 1081850400 1116748800 1153973760 1247539200 1384768512 1442467200 1488998400 1538631680 1730960640 1846358016 1871308800 1923289600 2163700800 2233497600 2307947520 2769537024 2884934400 3077263360 3461921280 3742617600 3846579200 4327401600 4466995200 4615895040 5539074048 5769868800 6923842560 7693158400 8654803200 9231790080 11539737600 13847685120 15386316800 17309606400 23079475200 27695370240 34619212800 46158950400 69238425600 138476851200
- Sum of all divisors σ(n): 529845778176
- Sum of proper divisors (its aliquot sum) s(n): 391368926976
- 138476851200 is an abundant number, because the sum of its proper divisors (391368926976) is greater than itself. Its abundance is 252892075776
Bases of 138476851200
- Binary: 100000001111011101110100010000000000002
- Hexadecimal: 0x203DDD1000
- Base-36: 1RM5JI80
Squares and roots of 138476851200
- 138476851200 squared (1384768512002) is 19175838318266941440000
- 138476851200 cubed (1384768512003) is 2655409709433909491665993728000000
-
The
square root of 138476851200 is 372124.7790728265 -
The
cube root of 138476851200 is 5173.5945829975
Scales and comparisons
How big is 138476851200?- 138,476,851,200 seconds is equal to 4,403 years, 7 weeks, 8 hours.
-
To count from 1 to 138,476,851,200 would take you about eight thousand, eight hundred six 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 138476851200 cubic inches would be around 431.1 feet tall.
Recreational maths with 138476851200
- 138476851200 backwards is 002158674831
- 138476851200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138476851200's digits is 45
- More coming soon!
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