138475917746240
138,475,917,746,240 is an even composite number composed of seven prime numbers multiplied together.
138475917746240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138475917746240:
26 × 5 × 37 × 89 × 181 × 683 × 1063
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 37 × 89 × 181 × 683 × 1063)See below for interesting mathematical facts about the number 138475917746240 from the Numbermatics database.
Names of 138475917746240
- Cardinal: 138475917746240 can be written as One hundred thirty-eight trillion, four hundred seventy-five billion, nine hundred seventeen million, seven hundred forty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3847591774624 × 1014
Factors of 138475917746240
Divisors of 138475917746240
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 37 40 64 74 80 89 148 160 178 181 185 296 320 356 362 370 445 592 683 712 724 740 890 905 1063 1184 1366 1424 1448 1480 1780 1810 2126 2368 2732 2848 2896 2960 3293 3415 3560 3620 4252 5315 5464 5696 5792 5920 6586 6697 6830 7120 7240 8504 10630 10928 11584 11840 13172 13394 13660 14240 14480 16109 16465 17008 21260 21856 25271 26344 26788 27320 28480 28960 32218 32930 33485 34016 39331 42520 43712 50542 52688 53576 54640 57920 60787 64436 65860 66970 68032 78662 80545 85040 94607 101084 105376 107152 109280 121574 123623 126355 128872 131720 133940 157324 161090 170080 189214 192403 196655 202168 210752 214304 218560 243148 247246 252710 257744 263440 267880 303935 314648 322180 340160 378428 384806 393310 404336 428608 473035 486296 494492 505420 515488 526880 535760 596033 607870 618115 629296 644360 726029 756856 769612 786620 808672 946070 962015 972592 988984 1010840 1030976 1053760 1071520 1192066 1215740 1236230 1258592 1288720 1452058 1513712 1539224 1573240 1617344 1892140 1924030 1945184 1977968 2021680 2143040 2249119 2384132 2431480 2472460 2517184 2577440 2904116 2980165 3027424 3078448 3146480 3500459 3630145 3784280 3848060 3890368 3955936 4043360 4498238 4574051 4768264 4862960 4944920 5154880 5808232 5960330 6054848 6156896 6292960 7000918 7118911 7260290 7568560 7696120 7911872 8086720 8996476 9148102 9536528 9725920 9889840 11002447 11245595 11616464 11920660 12313792 12585920 14001836 14237822 14520580 15137120 15392240 17123867 17502295 17992952 18296204 19073056 19451840 19779680 22004894 22491190 22870255 23232928 23841320 26863073 28003672 28475644 29041160 30274240 30784480 34247734 35004590 35594555 35985904 36592408 38146112 39559360 44009788 44982380 45740510 46465856 47682640 53726146 55012235 56007344 56951288 58082320 61568960 64616581 68495468 70009180 71189110 71971808 73184816 85619335 88019576 89964760 91481020 95365280 107452292 110024470 112014688 113902576 116164640 129233162 131411249 134315365 136990936 140018360 142378220 143943616 146369632 171238670 176039152 179929520 182962040 190730560 214904584 220048940 224029376 227805152 232329280 258466324 262822498 268630730 273981872 280036720 284756440 292739264 323082905 342477340 352078304 359859040 365924080 407090539 429809168 440097880 455610304 516932648 525644996 537261460 547963744 560073440 569512880 633583079 646165810 657056245 684954680 704156608 719718080 731848160 814181078 859618336 880195760 1033865296 1051289992 1074522920 1095927488 1120146880 1139025760 1267166158 1292331620 1314112490 1369909360 1463696320 1628362156 1719236672 1760391520 2035452695 2067730592 2102579984 2149045840 2278051520 2390813497 2534332316 2584663240 2628224980 2739818720 3167915395 3256724312 3520783040 4070905390 4135461184 4205159968 4298091680 4781626994 4862216213 5068664632 5169326480 5256449960 5479637440 6335830790 6513448624 8141810780 8410319936 8596183360 9563253988 9724432426 10137329264 10338652960 10512899920 11695601161 11954067485 12671661580 13026897248 16283621560 19126507976 19448864852 20274658528 20677305920 21025799840 23391202322 23908134970 24311081065 25343323160 26053794496 32567243120 38253015952 38897729704 40549317056 42051599680 46782404644 47816269940 48622162130 50686646320 58478005805 65134486240 76506031904 77795459408 93564809288 95632539880 97244324260 101373292640 116956011610 130268972480 153012063808 155590918816 187129618576 191265079760 194488648520 202746585280 233912023220 311181837632 374259237152 382530159520 388977297040 432737242957 467824046440 748518474304 765060319040 777954594080 865474485914 935648092880 1555909188160 1730948971828 1871296185760 2163686214785 3461897943656 3742592371520 4327372429570 6923795887312 8654744859140 13847591774624 17309489718280 27695183549248 34618979436560 69237958873120 138475917746240
- Sum of all divisors σ(n): 345183632801280
- Sum of proper divisors (its aliquot sum) s(n): 206707715055040
- 138475917746240 is an abundant number, because the sum of its proper divisors (206707715055040) is greater than itself. Its abundance is 68231797308800
Bases of 138475917746240
- Binary: 111110111110001011011111110001100100000010000002
- Hexadecimal: 0x7DF16FE32040
- Base-36: 1D32YI30OW
Squares and roots of 138475917746240
- 138475917746240 squared (1384759177462402) is 19175579795663426161034137600
- 138475917746240 cubed (1384759177462403) is 2655356010520750227726867010874294042624000
-
The
square root of 138475917746240 is 11767579.0945393691 -
The
cube root of 138475917746240 is 51735.8295813693
Scales and comparisons
How big is 138475917746240?- 138,475,917,746,240 seconds is equal to 4,403,105 years, 44 weeks, 1 day, 11 hours, 17 minutes, 20 seconds.
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To count from 1 to 138,475,917,746,240 would take you about eleven million, seven thousand, seven hundred sixty-four 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 138475917746240 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138475917746240
- 138475917746240 backwards is 042647719574831
- The number of decimal digits it has is: 15
- The sum of 138475917746240's digits is 68
- More coming soon!
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