138213738578906250
138,213,738,578,906,250 is an even composite number composed of seven prime numbers multiplied together.
138213738578906250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138213738578906250:
2 × 3 × 58 × 133 × 17 × 313 × 53
(2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 17 × 31 × 31 × 31 × 53)See below for interesting mathematical facts about the number 138213738578906250 from the Numbermatics database.
Names of 138213738578906250
- Cardinal: 138213738578906250 can be written as One hundred thirty-eight quadrillion, two hundred thirteen trillion, seven hundred thirty-eight billion, five hundred seventy-eight million, nine hundred six thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3821373857890625 × 1017
Factors of 138213738578906250
Divisors of 138213738578906250
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 5 6 10 13 15 17 25 26 30 31 34 39 50 51 53 62 65 75 78 85 93 102 106 125 130 150 155 159 169 170 186 195 221 250 255 265 310 318 325 338 375 390 403 425 442 465 507 510 527 530 625 650 663 689 750 775 795 806 845 850 901 930 961 975 1014 1054 1105 1209 1250 1275 1325 1326 1378 1550 1581 1590 1625 1643 1690 1802 1875 1922 1950 2015 2067 2125 2197 2210 2325 2418 2535 2550 2635 2650 2703 2873 2883 3125 3162 3250 3286 3315 3445 3750 3875 3975 4030 4134 4225 4250 4394 4505 4650 4805 4875 4929 5070 5239 5270 5406 5525 5746 5766 6045 6250 6375 6591 6625 6630 6851 6890 7750 7905 7950 8125 8215 8450 8619 8957 9010 9375 9610 9750 9858 10075 10335 10478 10625 10985 11050 11625 11713 12090 12493 12675 12750 13175 13182 13250 13515 13702 14365 14415 15625 15717 15810 16250 16337 16430 16575 17225 17238 17914 18750 19375 19875 20150 20553 20670 21125 21250 21359 21970 22525 23250 23426 24025 24375 24645 24986 25350 26195 26350 26871 27030 27625 27931 28730 28830 29791 30225 31250 31434 31875 32674 32955 33125 33150 34255 34450 35139 37349 37479 38750 39525 39750 40625 41075 41106 42250 42718 43095 44785 45050 46875 48050 48750 49011 49290 50375 50933 51675 52390 53125 53742 54925 55250 55862 58125 58565 59582 60450 62465 63375 63750 64077 65875 65910 66250 67575 68107 68510 70278 71825 72075 74698 74958 78125 78585 79050 81250 81685 82150 82875 83793 86125 86190 89063 89373 89570 93750 96875 98022 99375 100750 101866 102765 103350 105625 106250 106795 109850 112047 112625 116250 116441 117130 120125 121875 123225 124930 126750 128154 130975 131750 134355 135150 136214 138125 139655 143650 144150 148955 151125 152269 152799 156250 157170 159375 162409 163370 164775 165625 165750 167586 171275 172250 175695 178126 178746 186745 187395 193750 197625 198750 203125 204321 205375 205530 211250 212381 213590 215475 223925 224094 225250 232882 234375 240250 243750 245055 246450 251875 254665 258375 261950 265625 267189 268710 274625 276250 277667 279310 290625 292825 297910 302250 304538 305598 312325 316875 318750 320385 324818 329375 329550 331250 337875 340535 342550 349323 351390 359125 360375 363103 373490 374790 387283 390625 392925 395250 406250 408425 408642 410750 414375 418965 424762 430625 430950 445315 446865 447850 456807 468750 484375 487227 490110 496875 503750 506447 509330 513825 516750 528125 531250 533975 534378 549250 555334 560235 563125 581250 582205 585650 600625 609375 616125 624650 633750 637143 640770 654875 658750 662129 671775 675750 681070 690625 698275 698646 718250 720750 726206 744775 755625 761345 763995 774566 781250 785850 796875 812045 816850 823875 828125 828750 833001 837930 856375 861250 865861 878475 890630 893730 913614 933725 936975 968750 974454 988125 993750 1012894 1015625 1021605 1026875 1027650 1056250 1061905 1067950 1077375 1089309 1119625 1120470 1126250 1157819 1161849 1164410 1171875 1201250 1218750 1225275 1232250 1259375 1273325 1274286 1291875 1309750 1324258 1328125 1335945 1343550 1373125 1381250 1388335 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15340037578125 15430807031250 16035936718750 16356655453125 16824557343750 17010921671250 17385375921875 17484343906250 17834030784375 20060049140625 20174242968750 20846717734375 20862451106250 20970071093750 21680586443750 22114198172625 22864142031250 23970471484375 24053905078125 25016061281250 25566729296875 26226515859375 26381702343750 27261092421875 28040928906250 28351536118750 28764565781250 29723384640625 30680075156250 31455106640625 32520879665625 32713310906250 33433415234375 34296213046875 34770751843750 35668061568750 36856996954375 40120098281250 41693435468750 42061393359375 42527304178125 43710859765625 44228396345250 47940942968750 48107810156250 51133458593750 52156127765625 52453031718750 54201466109375 54522184843750 57160355078125 59446769281250 62540153203125 62910213281250 65041759331250 66866830468750 68592426093750 70878840296875 71911414453125 73713993908750 76700187890625 81783277265625 84122786718750 85054608356250 86926879609375 87421719531250 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2764274771578125 3543942014843750 4065109958203125 4458507696093750 4607124619296875 5315913022265625 5528549543156250 8130219916406250 9214249238593750 10631826044531250 13821373857890625 23035623096484375 27642747715781250 46071246192968750 69106869289453125 138213738578906250
- Sum of all divisors σ(n): 417272096356577280
- Sum of proper divisors (its aliquot sum) s(n): 279058357777671030
- 138213738578906250 is an abundant number, because the sum of its proper divisors (279058357777671030) is greater than itself. Its abundance is 140844619198764780
Bases of 138213738578906250
- Binary: 1111010110000100010101001101101110001001100001100100010102
- Hexadecimal: 0x1EB08A9B7130C8A
- Base-36: 11SWOIY8WGP6
Squares and roots of 138213738578906250
- 138213738578906250 squared (1382137385789062502) is 19103037531958237863257446289062500
- 138213738578906250 cubed (1382137385789062503) is 2640302235505110336209143145971937656402587890625000
-
The
square root of 138213738578906250 is 371771083.5701268603 -
The
cube root of 138213738578906250 is 517031.5813369761
Scales and comparisons
How big is 138213738578906250?- 138,213,738,578,906,250 seconds is equal to 4,394,769,363 years, 33 weeks, 3 days, 23 hours, 17 minutes, 30 seconds.
-
To count from 1 to 138,213,738,578,906,250 would take you about thirteen billion, one hundred eighty-four million, three hundred eight thousand and ninety 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 138213738578906250 cubic inches would be around 43086 feet tall.
Recreational maths with 138213738578906250
- 138213738578906250 backwards is 052609875837312831
- 138213738578906250 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138213738578906250's digits is 78
- More coming soon!
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"Number 138213738578906250 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138213738578906250 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138213738578906250/
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The information we have on file for 138213738578906250 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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