138765577680
138,765,577,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138765577680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138765577680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138765577680:
24 × 35 × 5 × 17 × 29 × 14479
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 29 × 14479)See below for interesting mathematical facts about the number 138765577680 from the Numbermatics database.
Names of 138765577680
- Cardinal: 138765577680 can be written as One hundred thirty-eight billion, seven hundred sixty-five million, five hundred seventy-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3876557768 × 1011
Factors of 138765577680
Divisors of 138765577680
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 29 30 34 36 40 45 48 51 54 58 60 68 72 80 81 85 87 90 102 108 116 120 135 136 144 145 153 162 170 174 180 204 216 232 240 243 255 261 270 272 290 306 324 340 348 360 405 408 432 435 459 464 486 493 510 522 540 580 612 648 680 696 720 765 783 810 816 870 918 972 986 1020 1044 1080 1160 1215 1224 1296 1305 1360 1377 1392 1479 1530 1566 1620 1740 1836 1944 1972 2040 2088 2160 2295 2320 2349 2430 2448 2465 2610 2754 2958 3060 3132 3240 3480 3672 3888 3915 3944 4080 4131 4176 4437 4590 4698 4860 4930 5220 5508 5916 6120 6264 6480 6885 6960 7047 7344 7395 7830 7888 8262 8874 9180 9396 9720 9860 10440 11016 11745 11832 12240 12528 13311 13770 14094 14479 14790 15660 16524 17748 18360 18792 19440 19720 20655 20880 22032 22185 23490 23664 26622 27540 28188 28958 29580 31320 33048 35235 35496 36720 37584 39440 39933 41310 43437 44370 46980 53244 55080 56376 57916 59160 62640 66096 66555 70470 70992 72395 79866 82620 86874 88740 93960 106488 110160 112752 115832 118320 119799 130311 133110 140940 144790 159732 165240 173748 177480 187920 199665 212976 217185 231664 239598 246143 260622 266220 281880 289580 319464 330480 347496 354960 390933 399330 419891 434370 479196 492286 521244 532440 563760 579160 598995 638928 651555 694992 738429 781866 798660 839782 868740 958392 984572 1042488 1064880 1158320 1172799 1197990 1230715 1259673 1303110 1476858 1563732 1597320 1679564 1737480 1916784 1954665 1969144 2084976 2099455 2215287 2345598 2395980 2461430 2519346 2606220 2953716 3127464 3194640 3359128 3474960 3518397 3692145 3779019 3909330 3938288 4198910 4430574 4691196 4791960 4922860 5038692 5212440 5863995 5907432 6254928 6298365 6645861 6718256 7036794 7138147 7384290 7558038 7818660 8397820 8861148 9382392 9583920 9845720 10077384 10424880 11076435 11337057 11727990 11814864 12596730 13291722 14073588 14276294 14768580 15116076 15637320 16795640 17591985 17722296 18764784 18895095 19691440 19937583 20154768 21414441 22152870 22674114 23455980 25193460 26583444 28147176 28552588 29537160 30232152 31274640 33229305 33591280 34011171 35183970 35444592 35690735 37790190 39875166 42828882 44305740 45348228 46911960 50386920 53166888 56294352 56685285 57105176 59074320 59812749 60464304 64243323 66458610 68022342 70367940 71381470 75580380 79750332 85657764 88611480 90696456 93823920 99687915 100773840 102033513 106333776 107072205 113370570 114210352 119625498 128486646 132917220 136044684 140735880 142762940 151160760 159500664 170055855 171315528 177222960 181392912 192729969 199375830 204067026 214144410 226741140 239250996 256973292 265834440 272089368 281471760 285525880 299063745 302321520 319001328 321216615 340111710 342631056 385459938 398751660 408134052 428288820 453482280 478501992 510167565 513946584 531668880 544178736 571051760 578189907 598127490 642433230 680223420 770919876 797503320 816268104 856577640 906964560 957003984 963649845 1020335130 1027893168 1156379814 1196254980 1284866460 1360446840 1541839752 1595006640 1632536208 1713155280 1734569721 1927299690 2040670260 2312759628 2392509960 2569732920 2720893680 2890949535 3083679504 3469139442 3854599380 4081340520 4625519256 4785019920 5139465840 5781899070 6938278884 7709198760 8162681040 8672848605 9251038512 11563798140 13876557768 15418397520 17345697210 23127596280 27753115536 34691394420 46255192560 69382788840 138765577680
- Sum of all divisors σ(n): 529391116800
- Sum of proper divisors (its aliquot sum) s(n): 390625539120
- 138765577680 is an abundant number, because the sum of its proper divisors (390625539120) is greater than itself. Its abundance is 251859961440
Bases of 138765577680
- Binary: 100000010011110001001010101101110100002
- Hexadecimal: 0x204F12ADD0
- Base-36: 1RQXFX00
Squares and roots of 138765577680
- 138765577680 squared (1387655776802) is 19255885548864114182400
- 138765577680 cubed (1387655776803) is 2672054081928092672342216888832000
-
The
square root of 138765577680 is 372512.5201654301 -
The
cube root of 138765577680 is 5177.1877630701
Scales and comparisons
How big is 138765577680?- 138,765,577,680 seconds is equal to 4,412 years, 16 weeks, 3 days, 1 hour, 48 minutes.
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To count from 1 to 138,765,577,680 would take you about eight thousand, eight hundred twenty-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 138765577680 cubic inches would be around 431.4 feet tall.
Recreational maths with 138765577680
- 138765577680 backwards is 086775567831
- The number of decimal digits it has is: 12
- The sum of 138765577680's digits is 63
- More coming soon!
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