138223292480
138,223,292,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 138223292480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
138223292480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138223292480:
26 × 5 × 73 × 13 × 73 × 1327
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 13 × 73 × 1327)See below for interesting mathematical facts about the number 138223292480 from the Numbermatics database.
Names of 138223292480
- Cardinal: 138223292480 can be written as One hundred thirty-eight billion, two hundred twenty-three million, two hundred ninety-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3822329248 × 1011
Factors of 138223292480
Divisors of 138223292480
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 73 80 91 98 104 112 130 140 146 160 182 196 208 224 245 260 280 292 320 343 364 365 392 416 448 455 490 511 520 560 584 637 686 728 730 784 832 910 949 980 1022 1040 1120 1168 1274 1327 1372 1456 1460 1568 1715 1820 1898 1960 2044 2080 2240 2336 2548 2555 2654 2744 2912 2920 3136 3185 3430 3577 3640 3796 3920 4088 4160 4459 4672 4745 5096 5110 5308 5488 5824 5840 6370 6635 6643 6860 7154 7280 7592 7840 8176 8918 9289 9490 10192 10220 10616 10976 11680 12740 13270 13286 13720 14308 14560 15184 15680 16352 17251 17836 17885 18578 18980 20384 20440 21232 21952 22295 23360 25039 25480 26540 26572 27440 28616 29120 30368 32704 33215 34502 35672 35770 37156 37960 40768 40880 42464 44590 46445 46501 50078 50960 53080 53144 54880 57232 60736 65023 66430 69004 71344 71540 74312 75920 81760 84928 86255 89180 92890 93002 96871 100156 101920 106160 106288 109760 114464 120757 125195 130046 132860 138008 142688 143080 148624 151840 163520 172510 178360 185780 186004 193742 200312 203840 212320 212576 228928 232505 241514 250390 260092 265720 276016 285376 286160 297248 303680 325115 325507 345020 356720 371560 372008 387484 400624 424640 425152 455161 465010 483028 484355 500780 520184 531440 552032 572320 594496 603785 650230 651014 678097 690040 713440 743120 744016 774968 801248 845299 910322 930020 966056 968710 1001560 1040368 1062880 1104064 1144640 1207570 1259323 1300460 1302028 1356194 1380080 1426880 1486240 1488032 1549936 1602496 1627535 1690598 1820644 1860040 1932112 1937420 2003120 2080736 2125760 2275805 2415140 2518646 2600920 2604056 2712388 2760160 2972480 2976064 3099872 3255070 3381196 3390485 3641288 3720080 3864224 3874840 4006240 4161472 4226495 4551610 4746679 4830280 5037292 5201840 5208112 5424776 5520320 5917093 6199744 6296615 6510140 6762392 6780970 7282576 7440160 7728448 7749680 8012480 8452990 8815261 9103220 9493358 9660560 10074584 10403680 10416224 10849552 11834186 12593230 13020280 13524784 13561940 14565152 14880320 15499360 16905980 17630522 18206440 18986716 19321120 20149168 20807360 20832448 21699104 23668372 23733395 25186460 26040560 27049568 27123880 29130304 29585465 30998720 33226753 33811960 35261044 36412880 37973432 38642240 40298336 43398208 44076305 47336744 47466790 50372920 52081120 54099136 54247760 59170930 61706827 66453506 67623920 70522088 72825760 75946864 80596672 88152610 94673488 94933580 100745840 104162240 108495520 118341860 123413654 132907012 135247840 141044176 145651520 151893728 166133765 176305220 189346976 189867160 201491680 216991040 236683720 246827308 265814024 270495680 282088352 303787456 308534135 332267530 352610440 378693952 379734320 402983360 431947789 473367440 493654616 531628048 564176704 617068270 664535060 705220880 759468640 863895578 946734880 987309232 1063256096 1234136540 1329070120 1410441760 1518937280 1727791156 1893469760 1974618464 2126512192 2159738945 2468273080 2658140240 2820883520 3455582312 3949236928 4319477890 4936546160 5316280480 6911164624 8638955780 9873092320 10632560960 13822329248 17277911560 19746184640 27644658496 34555823120 69111646240 138223292480
- Sum of all divisors σ(n): 419346278400
- Sum of proper divisors (its aliquot sum) s(n): 281122985920
- 138223292480 is an abundant number, because the sum of its proper divisors (281122985920) is greater than itself. Its abundance is 142899693440
Bases of 138223292480
- Binary: 100000001011101100000000010000010000002
- Hexadecimal: 0x202EC01040
- Base-36: 1RHYKV28
Squares and roots of 138223292480
- 138223292480 squared (1382232924802) is 19105678584011624550400
- 138223292480 cubed (1382232924803) is 2640849798946711031949887700992000
-
The
square root of 138223292480 is 371783.9325199517 -
The
cube root of 138223292480 is 5170.4349417775
Scales and comparisons
How big is 138223292480?- 138,223,292,480 seconds is equal to 4,395 years, 3 weeks, 5 days, 15 hours, 1 minute, 20 seconds.
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To count from 1 to 138,223,292,480 would take you about eight thousand, seven hundred 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 138223292480 cubic inches would be around 430.9 feet tall.
Recreational maths with 138223292480
- 138223292480 backwards is 084292322831
- The number of decimal digits it has is: 12
- The sum of 138223292480's digits is 44
- More coming soon!
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