138085330240
138,085,330,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 138085330240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 504 divisors.
138085330240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138085330240:
26 × 5 × 11 × 132 × 192 × 643
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 13 × 19 × 19 × 643)See below for interesting mathematical facts about the number 138085330240 from the Numbermatics database.
Names of 138085330240
- Cardinal: 138085330240 can be written as One hundred thirty-eight billion, eighty-five million, three hundred thirty thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3808533024 × 1011
Factors of 138085330240
Divisors of 138085330240
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 26 32 38 40 44 52 55 64 65 76 80 88 95 104 110 130 143 152 160 169 176 190 208 209 220 247 260 286 304 320 338 352 361 380 416 418 440 494 520 572 608 643 676 704 715 722 760 832 836 845 880 988 1040 1045 1144 1216 1235 1286 1352 1430 1444 1520 1672 1690 1760 1805 1859 1976 2080 2090 2288 2470 2572 2704 2717 2860 2888 3040 3211 3215 3344 3380 3520 3610 3718 3952 3971 4160 4180 4576 4693 4940 5144 5408 5434 5720 5776 6080 6422 6430 6688 6760 7073 7220 7436 7904 7942 8359 8360 9152 9295 9386 9880 10288 10816 10868 11440 11552 12217 12844 12860 13376 13520 13585 14146 14440 14872 15808 15884 16055 16718 16720 18590 18772 19760 19855 20576 21736 22880 23104 23465 24434 25688 25720 27040 27170 28292 28880 29744 31768 32110 33436 33440 35321 35365 37180 37544 39520 39710 41152 41795 43472 45760 46930 48868 51376 51440 51623 54080 54340 56584 57760 59488 61009 61085 63536 64220 66872 66880 70642 70730 74360 75088 79040 79420 83590 86944 91949 93860 97736 102752 102880 103246 108667 108680 113168 115520 118976 122018 122170 127072 128440 133744 134387 141284 141460 148720 150176 158821 158840 167180 173888 176605 183898 187720 195472 205504 205760 206492 217334 217360 226336 232123 244036 244340 254144 256880 258115 267488 268774 282568 282920 297440 300352 305045 317642 317680 334360 353210 367796 375440 390944 412984 434668 434720 452672 459745 464246 488072 488680 513760 516230 534976 537548 543335 565136 565840 594880 610090 635284 635360 668720 671099 671935 706420 735592 750880 781888 794105 825968 869336 869440 919490 928492 976144 977360 1027520 1032460 1075096 1086670 1130272 1131680 1160615 1195337 1220180 1270568 1270720 1337440 1342198 1343870 1412840 1471184 1501760 1588210 1651936 1738672 1747031 1838980 1856984 1952288 1954720 2064673 2064920 2150192 2173340 2260544 2263360 2321230 2390674 2440360 2541136 2553353 2674880 2684396 2687740 2825680 2942368 3017599 3176420 3303872 3355495 3477344 3494062 3677960 3713968 3904576 3909440 4129346 4129840 4300384 4346680 4642460 4781348 4880720 5082272 5106706 5368792 5375480 5651360 5884736 5976685 6035198 6352840 6710990 6954688 6988124 7355920 7427936 8258692 8259680 8600768 8693360 8735155 9284920 9562696 9761440 10164544 10213412 10323365 10737584 10750960 11302720 11953370 12070396 12705680 12766765 13421980 13976248 14711840 14855872 15087995 16517384 16519360 17386720 17470310 18569840 19125392 19522880 20426824 20646730 21475168 21501920 22711403 23906740 24140792 25411360 25533530 26843960 27952496 29423680 30175990 33034768 33193589 34773440 34940620 37139680 38250784 39228787 40853648 41293460 42950336 43003840 45422806 47813480 48281584 50822720 51067060 53687920 55904992 60351980 66069536 66387178 69881240 74279360 76501568 78457574 81707296 82586920 90845612 95626960 96563168 102134120 107375840 111809984 113557015 120703960 132139072 132774356 139762480 156915148 163414592 165173840 165967945 181691224 191253920 193126336 196143935 204268240 214751680 227114030 241407920 265548712 279524960 313830296 330347680 331935890 363382448 382507840 392287870 408536480 431516657 454228060 482815840 531097424 559049920 627660592 660695360 663871780 726764896 784575740 817072960 863033314 908456120 965631680 1062194848 1255321184 1327743560 1453529792 1569151480 1726066628 1816912240 2124389696 2157583285 2510642368 2655487120 3138302960 3452133256 3633824480 4315166570 5310974240 6276605920 6904266512 7267648960 8630333140 10621948480 12553211840 13808533024 17260666280 27617066048 34521332560 69042665120 138085330240
- Sum of all divisors σ(n): 410580340128
- Sum of proper divisors (its aliquot sum) s(n): 272495009888
- 138085330240 is an abundant number, because the sum of its proper divisors (272495009888) is greater than itself. Its abundance is 134409679648
Bases of 138085330240
- Binary: 100000001001101000011011101101010000002
- Hexadecimal: 0x202686ED40
- Base-36: 1RFOFUPS
Squares and roots of 138085330240
- 138085330240 squared (1380853302402) is 19067558427489858457600
- 138085330240 cubed (1380853302403) is 2632950102330432199368553037824000
-
The
square root of 138085330240 is 371598.3453138615 -
The
cube root of 138085330240 is 5168.7141458317
Scales and comparisons
How big is 138085330240?- 138,085,330,240 seconds is equal to 4,390 years, 35 weeks, 4 days, 20 hours, 10 minutes, 40 seconds.
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To count from 1 to 138,085,330,240 would take you about eight thousand, seven hundred eighty-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 138085330240 cubic inches would be around 430.7 feet tall.
Recreational maths with 138085330240
- 138085330240 backwards is 042033580831
- The number of decimal digits it has is: 12
- The sum of 138085330240's digits is 37
- More coming soon!
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