138314946000
138,314,946,000 is an even composite number composed of seven prime numbers multiplied together.
138314946000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138314946000:
24 × 3 × 53 × 72 × 11 × 19 × 2251
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 19 × 2251)See below for interesting mathematical facts about the number 138314946000 from the Numbermatics database.
Names of 138314946000
- Cardinal: 138314946000 can be written as One hundred thirty-eight billion, three hundred fourteen million, nine hundred forty-six thousand.
Scientific notation
- Scientific notation: 1.38314946 × 1011
Factors of 138314946000
Divisors of 138314946000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 25 28 30 33 35 38 40 42 44 48 49 50 55 56 57 60 66 70 75 76 77 80 84 88 95 98 100 105 110 112 114 120 125 132 133 140 147 150 152 154 165 168 175 176 190 196 200 209 210 220 228 231 240 245 250 264 266 275 280 285 294 300 304 308 330 336 350 375 380 385 392 399 400 418 420 440 456 462 475 490 500 525 528 532 539 550 560 570 588 600 616 627 660 665 700 735 750 760 770 784 798 825 836 840 875 880 912 924 931 950 980 1000 1045 1050 1064 1078 1100 1140 1155 1176 1200 1225 1232 1254 1320 1330 1375 1400 1425 1463 1470 1500 1520 1540 1596 1617 1650 1672 1680 1750 1848 1862 1900 1925 1960 1995 2000 2090 2100 2128 2156 2200 2251 2280 2310 2352 2375 2450 2508 2625 2640 2660 2695 2750 2793 2800 2850 2926 2940 3000 3080 3135 3192 3234 3300 3325 3344 3500 3675 3696 3724 3800 3850 3920 3990 4125 4180 4200 4312 4389 4400 4502 4560 4620 4655 4750 4900 5016 5225 5250 5320 5390 5500 5586 5700 5775 5852 5880 6000 6125 6160 6270 6384 6468 6600 6650 6753 7000 7125 7315 7350 7448 7600 7700 7980 8085 8250 8360 8400 8624 8778 9004 9240 9310 9500 9625 9800 9975 10032 10241 10450 10500 10640 10780 11000 11172 11255 11400 11550 11704 11760 12250 12540 12936 13200 13300 13475 13506 13965 14000 14250 14630 14700 14896 15400 15675 15757 15960 16170 16500 16625 16720 17556 18008 18375 18480 18620 19000 19250 19600 19950 20482 20900 21000 21560 21945 22000 22344 22510 22800 23100 23275 23408 24500 24761 25080 25872 26125 26600 26950 27012 27930 28500 28875 29260 29400 30723 30800 31350 31514 31920 32340 33000 33250 33765 35112 36016 36575 36750 37240 38000 38500 39900 40425 40964 41800 42000 42769 43120 43890 44688 45020 46200 46550 47271 49000 49522 49875 50160 51205 52250 53200 53900 54024 55860 56275 57000 57750 58520 58800 61446 62700 63028 64680 66000 66500 67375 67530 69825 70224 73150 73500 74283 74480 77000 78375 78785 79800 80850 81928 83600 85538 87780 90040 92400 93100 94542 98000 99044 99750 102410 104500 107800 108048 109725 110299 111720 112550 114000 115500 116375 117040 122892 123805 125400 126056 128307 129360 133000 134750 135060 139650 146300 147000 148566 153615 154000 156750 157570 159600 161700 163856 168825 171076 173327 175560 180080 182875 186200 189084 198088 199500 202125 204820 209000 213845 215600 219450 220598 223440 225100 231000 232750 236355 245784 247610 250800 252112 256025 256614 266000 269500 270120 279300 281375 292600 294000 297132 299383 307230 313500 315140 323400 330897 337650 342152 346654 349125 351120 365750 371415 372400 378168 393925 396176 399000 404250 409640 418000 427690 438900 441196 450200 462000 465500 470459 472710 491568 495220 512050 513228 519981 539000 540240 548625 551495 558600 562750 585200 594264 598766 614460 619025 627000 630280 641535 646800 661794 675300 684304 693308 698250 731500 742830 756336 768075 787850 798000 808500 819280 844125 855380 866635 877800 882392 898149 900400 931000 940918 945420 990440 1024100 1026456 1039962 1069225 1078000 1097250 1102990 1117200 1125500 1181775 1188528 1197532 1213289 1228920 1238050 1254000 1260560 1280125 1283070 1323588 1350600 1386616 1396500 1411377 1463000 1485660 1496915 1536150 1575700 1617000 1654485 1688250 1710760 1733270 1755600 1764784 1796298 1857075 1862000 1881836 1890840 1969625 1980880 2048200 2052912 2079924 2095681 2138450 2194500 2205980 2251000 2352295 2363550 2395064 2426578 2457840 2476100 2560250 2566140 2599905 2647176 2701200 2757475 2773232 2793000 2822754 2926000 2971320 2993830 3072300 3095125 3151400 3207675 3234000 3293213 3308970 3376500 3421520 3466540 3592596 3639867 3714150 3763672 3781680 3840375 3939250 4096400 4159848 4191362 4276900 4333175 4389000 4411960 4490745 4502000 4704590 4727100 4790128 4853156 4952200 5120500 5132280 5199810 5294352 5346125 5514950 5586000 5645508 5908875 5942640 5987660 6066445 6144600 6190250 6287043 6302800 6415350 6586426 6617940 6753000 6933080 7056885 7185192 7279734 7428300 7484575 7527344 7680750 7878500 8272425 8319696 8382724 8553800 8666350 8778000 8823920 8981490 9285375 9409180 9454200 9706312 9879639 9904400 10241000 10264560 10399620 10478405 10692250 11029900 11291016 11761475 11817750 11975320 12132890 12289200 12380500 12574086 12830700 12999525 13172852 13235880 13506000 13787375 13866160 14113770 14370384 14559468 14856600 14969150 15361500 15757000 16038375 16466065 16544850 16765448 17107600 17332700 17962980 18199335 18570750 18818360 18908400 19412624 19759278 20482000 20799240 20956810 21384500 21665875 22059800 22453725 22582032 23052491 23522950 23635500 23950640 24265780 24761000 25148172 25661400 25999050 26345704 26471760 27574750 28227540 29118936 29713200 29938300 30332225 30723000 31435215 31514000 32076750 32932130 33089700 33530896 34665400 35284425 35925960 36398670 37141500 37422875 37636720 39518556 41362125 41598480 41913620 42769000 43331750 44119600 44907450 46104982 47045900 47271000 48531560 49398195 49522000 50296344 51322800 51998100 52392025 52691408 55149500 56455080 58237872 58807375 59876600 60664450 61446000 62870430 64153500 64997625 65864260 66179400 69157473 69330800 70568850 71851920 72797340 74283000 74845750 79037112 82330325 82724250 83827240 85538000 86663500 89814900 90996675 92209964 94091800 94542000 97063120 98796390 100592688 103996200 104784050 110299000 112268625 112910160 115262455 117614750 119753200 121328900 125740860 128307000 129995250 131728520 132358800 138314946 141137700 145594680 148566000 149691500 151661125 157176075 158074224 164660650 165448500 167654480 173327000 176422125 179629800 181993350 184419928 188183600 197592780 207992400 209568100 220598000 224537250 230524910 235229500 242657800 246990975 251481720 256614000 259990500 261960125 263457040 276629892 282275400 291189360 299383000 303322250 314352150 329321300 330897000 345787365 346654000 352844250 359259600 363986700 368839856 395185560 411651625 419136200 449074500 454983375 461049820 470459000 485315600 493981950 502963440 519981000 523920250 553259784 564550800 576312275 598766000 606644500 628704300 658642600 661794000 691574730 705688500 727973400 785880375 790371120 823303250 838272400 898149000 909966750 922099640 940918000 987963900 1039962000 1047840500 1106519568 1152624550 1213289000 1234954875 1257408600 1317285200 1383149460 1411377000 1455946800 1571760750 1646606500 1728936825 1796298000 1819933500 1844199280 1975927800 2095681000 2305249100 2426578000 2469909750 2514817200 2766298920 2822754000 2881561375 3143521500 3293213000 3457873650 3639867000 3951855600 4191362000 4610498200 4939819500 5532597840 5763122750 6287043000 6586426000 6915747300 7279734000 8644684125 9220996400 9879639000 11526245500 12574086000 13831494600 17289368250 19759278000 23052491000 27662989200 34578736500 46104982000 69157473000 138314946000
- Sum of all divisors σ(n): 595937571840
- Sum of proper divisors (its aliquot sum) s(n): 457622625840
- 138314946000 is an abundant number, because the sum of its proper divisors (457622625840) is greater than itself. Its abundance is 319307679840
Bases of 138314946000
- Binary: 100000001101000011011010010101110100002
- Hexadecimal: 0x20343695D0
- Base-36: 1RJH5BDC
Squares and roots of 138314946000
- 138314946000 squared (1383149460002) is 19131024286982916000000
- 138314946000 cubed (1383149460003) is 2646106591178730529462536000000000
-
The
square root of 138314946000 is 371907.1739023059 -
The
cube root of 138314946000 is 5171.5774985055
Scales and comparisons
How big is 138314946000?- 138,314,946,000 seconds is equal to 4,397 years, 51 weeks, 2 days, 10 hours, 20 minutes.
-
To count from 1 to 138,314,946,000 would take you about eight thousand, seven hundred ninety-five 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 138314946000 cubic inches would be around 431 feet tall.
Recreational maths with 138314946000
- 138314946000 backwards is 000649413831
- The number of decimal digits it has is: 12
- The sum of 138314946000's digits is 39
- More coming soon!
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The information we have on file for 138314946000 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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