138145777250400
138,145,777,250,400 is an even composite number composed of eight prime numbers multiplied together.
138145777250400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138145777250400:
25 × 32 × 52 × 17 × 19 × 181 × 257 × 1277
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 19 × 181 × 257 × 1277)See below for interesting mathematical facts about the number 138145777250400 from the Numbermatics database.
Names of 138145777250400
- Cardinal: 138145777250400 can be written as One hundred thirty-eight trillion, one hundred forty-five billion, seven hundred seventy-seven million, two hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.381457772504 × 1014
Factors of 138145777250400
Divisors of 138145777250400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 68 72 75 76 80 85 90 95 96 100 102 114 120 136 144 150 152 153 160 170 171 180 181 190 200 204 225 228 240 255 257 272 285 288 300 304 306 323 340 342 360 362 380 400 408 425 450 456 475 480 510 514 543 544 570 600 608 612 646 680 684 720 724 760 765 771 800 816 850 855 900 905 912 950 969 1020 1028 1086 1140 1200 1224 1275 1277 1285 1292 1360 1368 1425 1440 1448 1520 1530 1542 1615 1629 1632 1700 1710 1800 1810 1824 1900 1938 2040 2056 2172 2280 2313 2400 2448 2550 2554 2570 2584 2715 2720 2736 2850 2896 2907 3040 3060 3077 3084 3230 3258 3400 3420 3439 3600 3620 3800 3825 3831 3855 3876 4080 4112 4275 4344 4369 4525 4560 4626 4845 4883 4896 5100 5108 5140 5168 5430 5472 5700 5792 5814 6120 6154 6168 6385 6425 6460 6516 6800 6840 6878 7200 7240 7600 7650 7662 7710 7752 8075 8145 8160 8224 8550 8688 8738 9050 9120 9231 9252 9690 9766 10200 10216 10280 10317 10336 10860 11400 11493 11565 11628 12240 12308 12336 12770 12850 12920 13032 13107 13575 13600 13680 13756 14480 14535 14649 15200 15300 15324 15385 15420 15504 16150 16290 17100 17195 17376 17476 18100 18462 18504 19155 19275 19380 19532 20400 20432 20560 20634 21709 21720 21845 22800 22986 23130 23256 24225 24263 24415 24480 24616 24672 25540 25700 25840 26064 26214 27150 27360 27512 27693 28960 29070 29298 30600 30648 30770 30840 30951 31008 31925 32300 32580 34200 34390 34952 36200 36924 37008 38310 38550 38760 39064 39321 40725 40800 40864 41120 41268 43418 43440 43690 43947 45600 45972 46155 46260 46512 46517 48450 48526 48830 49232 51080 51400 51585 51680 52128 52428 54300 55024 55386 57465 57825 58140 58463 58596 61200 61296 61540 61680 61902 63850 64600 65127 65160 65535 68400 68780 69904 72400 72675 72789 73245 73848 74016 76620 76925 77100 77520 78128 78642 81450 82536 83011 85975 86836 86880 87380 87894 91944 92310 92520 93024 93034 95775 96900 97052 97660 98464 102160 102800 103170 104856 108545 108600 109225 110048 110772 114930 115650 116280 116926 117192 121315 122075 122400 122592 123080 123360 123804 127700 129200 130254 130320 131070 136800 137560 138465 139551 139808 144800 145350 145578 146490 147696 153240 153850 154200 154755 155040 156256 157284 162900 165072 166022 171950 173672 174760 175389 175788 183888 184620 185040 186068 191550 193800 194104 195320 195381 196605 204320 205600 206340 209712 217090 217200 218367 218450 219735 221544 229860 230775 231137 231300 232560 232585 233852 234384 242630 244150 246160 247608 249033 255400 257925 258400 260508 260640 262140 275120 276930 279102 287325 290700 291156 292315 292980 295392 306480 307700 308400 309510 314568 325635 325800 327675 328189 330144 332044 343900 347344 349520 350778 351576 363945 366225 367776 369240 370080 372136 383100 387600 388208 390640 390762 393210 412471 412680 415055 418653 419424 434180 434400 436734 436900 439470 443088 459720 461550 462274 462600 465120 465170 467704 468768 485260 488300 492320 495216 498066 510800 515850 521016 524280 526167 542725 550240 553860 558204 574650 581400 582312 584630 585960 606575 612960 615400 616800 619020 629136 651270 651600 655350 656378 664088 687800 692325 693411 694688 697755 699040 701556 703152 727890 732450 738480 744272 747099 766200 773775 775200 776416 781280 781524 786420 790789 824942 825360 830110 837306 868360 873468 873800 876945 878940 883823 886176 919440 923100 924548 925200 930340 935408 970520 976600 976905 983025 984567 990432 996132 1021600 1031700 1042032 1048560 1052334 1085450 1091835 1098675 1107720 1116408 1149300 1155685 1162800 1162925 1164624 1169260 1171920 1213150 1230800 1237413 1238040 1245165 1258272 1302540 1303200 1310700 1312756 1328176 1375600 1384650 1386822 1395510 1403112 1406304 1455780 1461575 1464900 1476960 1488544 1494198 1532400 1547550 1563048 1572840 1581578 1628175 1640945 1649884 1650720 1660220 1674612 1736720 1746936 1747600 1753890 1757880 1767646 1819725 1838880 1846200 1849096 1850400 1860680 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13365497025 13390111200 13438305180 13522491900 13543703652 14145584400 14256530160 14931450200 14965418400 15147563295 15264726768 15809770800 15900757050 16157400848 16797881475 16929629565 16960807520 17107836192 17820662700 17917740240 18029989200 18058271536 18177075954 19080908460 19186913507 20085166800 20196751060 20315555478 21201009400 21384795240 21501288288 21635987040 22397175300 22448127600 22572839420 23760883600 23851135575 24236101272 25245938825 25441211280 26730994050 26876610360 27044983800 27087407304 28216049275 28291168800 28513060320 29862900400 30295126590 30529453536 31619541600 31801514100 32314801696 33595762950 33859259130 35641325400 35835480480 36059978400 36116543072 36354151908 38161816920 38373827014 40170333600 40393502120 40631110956 42402018800 42769590480 44794350600 44896255200 45145678840 45442689885 47521767200 47702271150 48472202544 50491877650 50788888695 50882422560 53461988100 53753220720 54089967600 54174814608 56432098550 57560740521 59725800800 60590253180 63603028200 67191525900 67718518260 71282650800 72708303816 75737816475 76323633840 76747654028 80787004240 81262221912 84648147825 84804037600 85539180960 89588701200 90291357680 90885379770 95404542300 95934567535 96944405088 100983755300 101577777390 106923976200 107506441440 108179935200 108349629216 112864197100 115121481042 121180506360 127206056400 134383051800 135437036520 142565301600 145416607632 151475632950 152647267680 153495308056 161574008480 162524443824 169296295650 172682221563 179177402400 180582715360 181770759540 190809084600 191869135070 201967510600 203155554780 213847952400 225728394200 227213449425 230242962084 242361012720 253944443475 254412112800 268766103600 270874073040 287803702605 290833215264 302951265900 306990616112 325048887648 338592591300 345364443126 363541519080 381618169200 383738270140 403935021200 406311109560 427695904800 451456788400 454426898850 460485924168 479672837675 484722025440 507888886950 537532207200 541748146080 575607405210 605902531800 613981232224 677185182600 690728886252 727083038160 763236338400 767476540280 807870042400 812622219120 863411107815 902913576800 908853797700 920971848336 959345675350 1015777773900 1151214810420 1211805063600 1354370365200 1381457772504 1439018513025 1454166076320 1534953080560 1625244438240 1726822215630 1817707595400 1841943696672 1918691350700 2031555547800 2302429620840 2423610127200 2708740730400 2762915545008 2878037026050 3069906161120 3453644431260 3635415190800 3837382701400 4063111095600 4317055539075 4604859241680 5525831090016 5756074052100 6907288862520 7270830381600 7674765402800 8126222191200 8634111078150 9209718483360 11512148104200 13814577725040 15349530805600 17268222156300 23024296208400 27629155450080 34536444312600 46048592416800 69072888625200 138145777250400
- Sum of all divisors σ(n): 548491679910720
- Sum of proper divisors (its aliquot sum) s(n): 410345902660320
- 138145777250400 is an abundant number, because the sum of its proper divisors (410345902660320) is greater than itself. Its abundance is 272200125409920
Bases of 138145777250400
- Binary: 111110110100100100100011111101011110000011000002
- Hexadecimal: 0x7DA491FAF060
- Base-36: 1CYVAKYFS0
Squares and roots of 138145777250400
- 138145777250400 squared (1381457772504002) is 19084255772117134184300160000
- 138145777250400 cubed (1381457772504003) is 2636409346884554082241537204173080064000000
-
The
square root of 138145777250400 is 11753543.1785653469 -
The
cube root of 138145777250400 is 51694.6823930647
Scales and comparisons
How big is 138145777250400?- 138,145,777,250,400 seconds is equal to 4,392,608 years, 20 weeks, 6 days, 22 hours.
-
To count from 1 to 138,145,777,250,400 would take you about ten million, nine hundred eighty-one thousand, five hundred twenty-one 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 138145777250400 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138145777250400
- 138145777250400 backwards is 004052777541831
- The number of decimal digits it has is: 15
- The sum of 138145777250400's digits is 54
- More coming soon!
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"Number 138145777250400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138145777250400 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138145777250400/
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The information we have on file for 138145777250400 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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