138057918768
138,057,918,768 is an even composite number composed of six prime numbers multiplied together.
138057918768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138057918768:
24 × 32 × 7 × 11 × 79 × 3972
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 79 × 397 × 397)See below for interesting mathematical facts about the number 138057918768 from the Numbermatics database.
Names of 138057918768
- Cardinal: 138057918768 can be written as One hundred thirty-eight billion, fifty-seven million, nine hundred eighteen thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38057918768 × 1011
Factors of 138057918768
Divisors of 138057918768
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 79 84 88 99 112 126 132 144 154 158 168 176 198 231 237 252 264 308 316 336 396 397 462 474 504 528 553 616 632 693 711 792 794 869 924 948 1008 1106 1191 1232 1264 1386 1422 1584 1588 1659 1738 1848 1896 2212 2382 2607 2772 2779 2844 3176 3318 3476 3573 3696 3792 4367 4424 4764 4977 5214 5544 5558 5688 6083 6352 6636 6952 7146 7821 8337 8734 8848 9528 9954 10428 11088 11116 11376 12166 13101 13272 13904 14292 15642 16674 17468 18249 19056 19908 20856 22232 24332 25011 26202 26544 28584 30569 31284 31363 33348 34936 36498 39303 39816 41712 44464 48664 50022 52404 54747 57168 61138 62568 62726 66696 69872 72996 78606 79632 91707 94089 97328 100044 104808 109494 122276 125136 125452 133392 145992 157212 157609 183414 188178 200088 209616 218988 219541 244552 250904 275121 282267 291984 314424 315218 344993 366828 376356 400176 437976 439082 472827 489104 501808 550242 564534 628848 630436 658623 689986 733656 752712 875952 878164 945654 1034979 1100484 1103263 1129068 1260872 1317246 1379972 1418481 1467312 1505424 1733699 1756328 1891308 1975869 2069958 2200968 2206526 2258136 2414951 2521744 2634492 2759944 2836962 3104937 3309789 3467398 3512656 3782616 3951738 4139916 4401936 4413052 4516272 4829902 5201097 5268984 5519888 5673924 6209874 6619578 6934796 7244853 7565232 7903476 8279832 8826104 9659804 9929367 10402194 10537968 11347848 12135893 12419748 12451111 13239156 13869592 14489706 15603291 15806952 16559664 17652208 19319608 19858734 20804388 21734559 22695696 24271786 24839496 24902222 26478312 27739184 28979412 31206582 31613904 36407679 37353333 38639216 39717468 41608776 43469118 48543572 49678992 49804444 52956624 57958824 62413164 72815358 74706666 79434936 83217552 86938236 87157777 97087144 99608888 109223037 112059999 115917648 124826328 136962221 145630716 149413332 158869872 173876472 174315554 194174288 199217776 218446074 224119998 249652656 261473331 273924442 291261432 298826664 347752944 348631108 410886663 436892148 448239996 522946662 547848884 582522864 597653328 697262216 784419993 821773326 873784296 896479992 958735547 1045893324 1095697768 1232659989 1394524432 1568839986 1643546652 1747568592 1792959984 1917471094 2091786648 2191395536 2465319978 2876206641 3137679972 3287093304 3834942188 4183573296 4930639956 5752413282 6275359944 6574186608 7669884376 8628619923 9861279912 11504826564 12550719888 15339768752 17257239846 19722559824 23009653128 34514479692 46019306256 69028959384 138057918768
- Sum of all divisors σ(n): 489037985280
- Sum of proper divisors (its aliquot sum) s(n): 350980066512
- 138057918768 is an abundant number, because the sum of its proper divisors (350980066512) is greater than itself. Its abundance is 212922147744
Bases of 138057918768
- Binary: 100000001001001110010010101001001100002
- Hexadecimal: 0x2024E4A930
- Base-36: 1RF84BW0
Squares and roots of 138057918768
- 138057918768 squared (1380579187682) is 19059988934551686637824
- 138057918768 cubed (1380579187683) is 2631382404045315622342096828280832
-
The
square root of 138057918768 is 371561.4602834907 -
The
cube root of 138057918768 is 5168.3721074727
Scales and comparisons
How big is 138057918768?- 138,057,918,768 seconds is equal to 4,389 years, 42 weeks, 2 days, 13 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,057,918,768 would take you about eight thousand, seven hundred seventy-nine 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 138057918768 cubic inches would be around 430.7 feet tall.
Recreational maths with 138057918768
- 138057918768 backwards is 867819750831
- 138057918768 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138057918768's digits is 63
- More coming soon!
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