138023084160
138,023,084,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 138023084160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
138023084160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138023084160:
27 × 33 × 5 × 132 × 151 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 151 × 313)See below for interesting mathematical facts about the number 138023084160 from the Numbermatics database.
Names of 138023084160
- Cardinal: 138023084160 can be written as One hundred thirty-eight billion, twenty-three million, eighty-four thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3802308416 × 1011
Factors of 138023084160
Divisors of 138023084160
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 151 156 160 169 180 192 195 208 216 234 240 260 270 288 302 312 313 320 338 351 360 384 390 416 432 453 468 480 507 520 540 576 585 604 624 626 640 676 702 720 755 780 832 845 864 906 936 939 960 1014 1040 1080 1152 1170 1208 1248 1252 1352 1359 1404 1440 1510 1521 1560 1565 1664 1690 1728 1755 1812 1872 1878 1920 1963 2028 2080 2160 2265 2340 2416 2496 2504 2535 2704 2718 2808 2817 2880 3020 3042 3120 3130 3380 3456 3510 3624 3744 3756 3926 4056 4069 4077 4160 4320 4530 4563 4680 4695 4832 4992 5008 5070 5408 5436 5616 5634 5760 5889 6040 6084 6240 6260 6760 6795 7020 7248 7488 7512 7605 7852 8112 8138 8154 8320 8451 8640 9060 9126 9360 9390 9664 9815 10016 10140 10816 10872 11232 11268 11778 12080 12168 12207 12480 12520 13520 13590 14040 14085 14496 14976 15024 15210 15704 16224 16276 16308 16902 17280 17667 18120 18252 18720 18780 19328 19630 20032 20280 20345 20385 21632 21744 22464 22536 22815 23556 24160 24336 24414 24960 25040 25519 27040 27180 28080 28170 28992 29445 30048 30420 31408 32448 32552 32616 33804 35334 36240 36504 36621 37440 37560 39260 40064 40560 40690 40770 42255 43488 44928 45072 45630 47112 47263 48320 48672 48828 50080 51038 52897 53001 54080 54360 56160 56340 57984 58890 60096 60840 61035 62816 64896 65104 65232 67608 70668 72480 73008 73242 74880 75120 76557 78520 81120 81380 81540 84510 86976 88335 90144 91260 94224 94526 96640 97344 97656 100160 102076 105794 106002 108160 108720 109863 112320 112680 117780 120192 121680 122070 125632 127595 130208 130464 135216 141336 141789 144960 146016 146484 150240 153114 157040 158691 162240 162760 163080 169020 173952 176670 180288 182520 183105 188448 189052 194688 195312 200320 204152 211588 212004 217440 219726 224640 225360 229671 235560 236315 243360 244140 251264 255190 260416 260928 264485 265005 270432 282672 283578 289920 292032 292968 300480 306228 314080 317382 324480 325520 326160 338040 353340 360576 365040 366210 376896 378104 382785 390624 408304 423176 424008 425367 434880 439452 450720 459342 471120 472630 476073 486720 488280 510380 520832 521856 528970 530010 540864 549315 565344 567156 584064 585936 600960 612456 614419 628160 634764 651040 652320 676080 689013 706680 708945 730080 732420 753792 756208 765570 781248 793455 816608 846352 848016 850734 869760 878904 901440 918684 942240 945260 952146 973440 976560 1020760 1057940 1060020 1081728 1098630 1130688 1134312 1148355 1171872 1224912 1228838 1256320 1269528 1276101 1302080 1304640 1352160 1378026 1413360 1417890 1428219 1460160 1464840 1512416 1531140 1562496 1586910 1633216 1692704 1696032 1701468 1757808 1802880 1837368 1843257 1884480 1890520 1904292 1953120 2041520 2115880 2120040 2126835 2197260 2261376 2268624 2296710 2343744 2380365 2449824 2457676 2539056 2552202 2604160 2609280 2704320 2756052 2826720 2835780 2856438 2920320 2929680 3024832 3062280 3072095 3173820 3266432 3385408 3392064 3402936 3445065 3515616 3674736 3686514 3768960 3781040 3808584 3906240 4083040 4231760 4240080 4253670 4394520 4537248 4593420 4687488 4760730 4899648 4915352 5078112 5104404 5408640 5512104 5529771 5653440 5671560 5712876 5859360 6049664 6124560 6144190 6347640 6380505 6770816 6784128 6805872 6890130 7031232 7141095 7349472 7373028 7562080 7617168 7812480 7987447 8166080 8463520 8480160 8507340 8789040 9074496 9186840 9216285 9521460 9799296 9830704 10156224 10208808 11024208 11059542 11306880 11343120 11425752 11718720 12249120 12288380 12695280 12761010 13611744 13780260 14062464 14282190 14698944 14746056 15124160 15234336 15974894 16332160 16589313 16927040 16960320 17014680 17578080 18148992 18373680 18432570 19042920 19661408 20312448 20417616 22048416 22119084 22686240 22851504 23437440 23962341 24498240 24576760 25390560 25522020 27223488 27560520 27648855 28564380 29397888 29492112 30248320 30468672 31949788 33178626 33854080 33920640 34029360 35156160 36747360 36865140 38085840 39322816 39937235 40835232 44096832 44238168 45372480 45703008 47924682 48996480 49153520 50781120 51044040 54446976 55121040 55297710 57128760 58984224 60937344 63899576 66357252 68058720 70312320 71887023 73494720 73730280 76171680 78645632 79874470 81670464 82946565 88193664 88476336 90744960 91406016 95849364 98307040 101562240 102088080 110242080 110595420 114257520 117968448 119811705 127799152 132714504 136117440 143774046 146989440 147460560 152343360 159748940 163340928 165893130 176952672 182812032 191698728 196614080 204176160 215661069 220484160 221190840 228515040 235936896 239623410 255598304 265429008 272234880 287548092 294921120 304686720 319497880 331786260 353905344 359435115 383397456 393228160 408352320 431322138 440968320 442381680 457030080 479246820 511196608 530858016 575096184 589842240 638995760 663572520 707810688 718870230 766794912 816704640 862644276 884763360 914060160 958493640 1022393216 1061716032 1078305345 1150192368 1179684480 1277991520 1327145040 1437740460 1533589824 1725288552 1769526720 1916987280 2123432064 2156610690 2300384736 2555983040 2654290080 2875480920 3067179648 3450577104 3539053440 3833974560 4313221380 4600769472 5111966080 5308580160 5750961840 6901154208 7667949120 8626442760 9201538944 10617160320 11501923680 13802308416 15335898240 17252885520 23003847360 27604616832 34505771040 46007694720 69011542080 138023084160
- Sum of all divisors σ(n): 534534508800
- Sum of proper divisors (its aliquot sum) s(n): 396511424640
- 138023084160 is an abundant number, because the sum of its proper divisors (396511424640) is greater than itself. Its abundance is 258488340480
Bases of 138023084160
- Binary: 100000001000101101000100100000100000002
- Hexadecimal: 0x2022D12080
- Base-36: 1RENDPC0
Squares and roots of 138023084160
- 138023084160 squared (1380230841602) is 19050371761038442905600
- 138023084160 cubed (1380230841603) is 2629391064853096414154983735296000
-
The
square root of 138023084160 is 371514.5813558331 -
The
cube root of 138023084160 is 5167.9373784295
Scales and comparisons
How big is 138023084160?- 138,023,084,160 seconds is equal to 4,388 years, 36 weeks, 5 days, 9 hours, 36 minutes.
-
To count from 1 to 138,023,084,160 would take you about eight thousand, seven hundred seventy-seven 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 138023084160 cubic inches would be around 430.7 feet tall.
Recreational maths with 138023084160
- 138023084160 backwards is 061480320831
- 138023084160 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138023084160's digits is 36
- More coming soon!
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The information we have on file for 138023084160 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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