138838675680
138,838,675,680 is an even composite number composed of eight prime numbers multiplied together.
138838675680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138838675680:
25 × 32 × 5 × 19 × 23 × 37 × 67 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 23 × 37 × 67 × 89)See below for interesting mathematical facts about the number 138838675680 from the Numbermatics database.
Names of 138838675680
- Cardinal: 138838675680 can be written as One hundred thirty-eight billion, eight hundred thirty-eight million, six hundred seventy-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3883867568 × 1011
Factors of 138838675680
Divisors of 138838675680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 30 32 36 37 38 40 45 46 48 57 60 67 69 72 74 76 80 89 90 92 95 96 111 114 115 120 134 138 144 148 152 160 171 178 180 184 185 190 201 207 222 228 230 240 267 268 276 285 288 296 304 333 335 342 345 356 360 368 370 380 402 414 437 444 445 456 460 480 534 536 552 555 570 592 603 608 666 670 684 690 703 712 720 736 740 760 801 804 828 851 855 874 888 890 912 920 1005 1035 1068 1072 1104 1110 1140 1184 1206 1273 1311 1332 1335 1340 1368 1380 1406 1424 1440 1480 1520 1541 1602 1608 1656 1665 1691 1702 1710 1748 1776 1780 1824 1840 2010 2047 2070 2109 2136 2144 2185 2208 2220 2280 2412 2479 2546 2553 2622 2664 2670 2680 2736 2760 2812 2848 2960 3015 3040 3082 3204 3216 3293 3312 3330 3382 3404 3420 3496 3515 3552 3560 3680 3819 3933 4005 4020 4094 4140 4218 4255 4272 4370 4440 4560 4623 4824 4958 5073 5092 5106 5244 5328 5340 5360 5472 5520 5624 5920 5963 6030 6141 6164 6327 6365 6408 6432 6555 6586 6624 6660 6764 6808 6840 6992 7030 7120 7437 7638 7659 7705 7866 8010 8040 8188 8280 8436 8455 8510 8544 8740 8880 9120 9246 9648 9879 9916 10146 10184 10212 10235 10488 10545 10656 10680 10720 11040 11248 11457 11926 12060 12282 12328 12395 12654 12730 12765 12816 13110 13172 13320 13528 13616 13680 13869 13984 14060 14240 14874 15219 15276 15318 15410 15732 16020 16080 16169 16376 16465 16560 16872 16910 17020 17480 17760 17889 18423 18492 19095 19296 19665 19758 19832 20292 20368 20424 20470 20976 21090 21360 22311 22496 22914 23115 23852 24120 24564 24656 24790 25308 25365 25460 25530 25632 26220 26344 26640 27056 27232 27360 27738 28120 29279 29637 29748 29815 30438 30552 30636 30705 30820 31464 31635 32040 32160 32338 32752 32930 33120 33744 33820 34040 34960 35778 36846 36984 37185 38190 38295 38893 39330 39516 39664 40584 40736 40848 40940 41952 42180 42720 44622 45828 46230 47101 47704 48240 48507 49128 49312 49395 49580 50616 50730 50920 51060 52440 52688 53280 53667 54112 55476 56240 57017 57285 58558 59274 59496 59630 60876 61104 61272 61410 61640 62567 62928 63270 64080 64676 65504 65860 67488 67640 68080 69345 69920 71556 73692 73968 74370 75739 76095 76380 76590 77786 78660 79032 79328 80845 81168 81696 81880 84360 87837 89244 89445 91656 92115 92460 94202 95408 96480 97014 98256 98790 99160 101232 101460 101840 102120 104880 105376 107334 110952 111555 112480 113297 114034 114570 116679 117116 118548 118992 119260 121752 122208 122544 122820 123280 125134 125856 126540 128160 129352 131720 135280 136160 137149 138690 141303 143112 145521 146395 147384 147936 148185 148740 151478 152190 152760 153180 155572 157320 158064 161690 162336 163760 168720 171051 175674 178488 178890 183312 184230 184920 187701 188404 190816 194028 194465 196512 197580 198320 202464 202920 203680 204240 209760 214668 220631 221904 223110 226594 227217 228068 229140 233358 234232 235505 237096 237984 238520 242535 243504 245088 245640 246560 250268 253080 258704 263440 263511 268335 270560 274298 277380 282606 285085 286224 291042 292790 294768 296370 297480 302956 304380 305520 306360 311144 312835 314640 316128 323380 327520 337440 339891 342102 350037 351348 356976 357780 366624 368460 369840 375402 376808 378695 388056 388930 395160 396640 405840 408480 411447 423909 429336 439185 441262 443808 446220 453188 454434 456136 458280 466716 468464 471010 474192 477040 485070 487008 491280 500536 506160 513153 517408 526880 527022 536670 548596 554760 563103 565212 566485 570170 572448 582084 583395 585580 589536 592740 594960 605912 608760 611040 612720 622288 625670 629280 646760 661893 679782 681651 684204 685745 700074 702696 706515 713952 715560 727605 736920 739680 750804 753616 757390 776112 777860 790320 811680 822894 847818 855255 858672 878370 882524 892440 906376 908868 912272 916560 933432 936928 938505 942020 948384 954080 970140 982560 1001072 1012320 1019673 1026306 1054044 1073340 1083323 1097192 1103155 1109520 1126206 1130424 1132970 1136085 1140340 1164168 1166790 1171160 1185480 1189920 1211824 1217520 1225440 1234341 1244576 1251340 1293520 1317555 1323786 1359564 1363302 1368408 1371490 1400148 1405392 1413030 1431120 1439041 1455210 1473840 1501608 1507232 1514780 1552224 1555720 1580640 1645788 1695636 1699455 1710510 1717344 1750185 1756740 1765048 1784880 1812752 1817736 1824544 1833120 1866864 1877010 1884040 1940280 1985679 2002144 2039346 2052612 2057235 2108088 2119545 2146680 2166646 2194384 2206310 2219040 2252412 2260848 2265940 2272170 2280680 2328336 2333580 2342320 2370960 2423648 2435040 2468682 2502680 2565765 2587040 2605831 2635110 2647572 2719128 2726604 2736816 2742980 2800296 2810784 2815515 2826060 2862240 2878082 2910420 2947680 3003216 3029560 3111440 3249969 3291576 3309465 3391272 3398910 3408255 3421020 3500370 3513480 3530096 3569760 3625504 3635472 3733728 3754020 3768080 3880560 3971358 4078692 4105224 4114470 4191989 4216176 4239090 4293360 4317123 4333292 4388768 4412620 4504824 4521696 4531880 4544340 4561360 4656672 4667160 4684640 4741920 4937364 5005360 5074513 5098365 5131530 5211662 5270220 5295144 5416615 5438256 5453208 5473632 5485960 5600592 5631030 5652120 5756164 5820840 6006432 6059120 6171705 6222880 6499938 6583152 6618930 6782544 6797820 6816510 6842040 7000740 7026960 7060192 7195205 7270944 7508040 7536160 7761120 7817493 7942716 8157384 8210448 8228940 8383978 8432352 8478180 8586720 8634246 8666584 8825240 9009648 9063760 9088680 9122720 9334320 9749907 9874728 9928395 10010720 10149026 10196730 10263060 10423324 10540440 10590288 10833230 10876512 10906416 10971920 11201184 11262060 11304240 11512328 11641680 12118240 12343410 12575967 12951369 12999876 13029155 13166304 13237860 13565088 13595640 13633020 13684080 14001480 14053920 14390410 15016080 15223539 15634986 15885432 16249845 16314768 16420896 16457880 16767956 16956360 17268492 17333168 17650480 18019296 18127520 18177360 18668640 19499814 19749456 19856790 20298052 20393460 20526120 20846648 20959945 21080880 21180576 21585615 21666460 21812832 21943840 22524120 22608480 23024656 23283360 23452479 24686820 25151934 25372565 25902738 25999752 26058310 26475720 27191280 27266040 27368160 28002960 28780820 30032160 30447078 31269972 31770864 32499690 32629536 32915760 33535912 33912720 34536984 34666336 35300960 36354720 37727901 38999628 39087465 39498912 39713580 40596104 40786920 41052240 41693296 41919890 42161760 43171230 43332920 45048240 45670617 46049312 46904958 48749535 49373640 50303868 50745130 51805476 51999504 52116620 52951440 54382560 54532080 56005920 57561640 60894156 62539944 62879835 63541728 64756845 64999380 65831520 67071824 67825440 69073968 75455802 76117695 77999256 78174930 79427160 81192208 81573840 82104480 83386592 83839780 86342460 86665840 90096480 91341234 93809916 96415747 97499070 98747280 100607736 101490260 103610952 103999008 104233240 105902880 109064160 115123280 117262395 121788312 125079888 125759670 129513690 129998760 134143648 138147936 150911604 152235390 155998512 156349860 158854320 162384416 163147680 167679560 172684920 173331680 182682468 187619832 188639505 192831494 194998140 197494560 201215472 202980520 207221904 208466480 228353085 230246560 234524790 243576624 250159776 251519340 259027380 259997520 289247241 301823208 304470780 311997024 312699720 317708640 335359120 345369840 365364936 375239664 377279010 385662988 389996280 402430944 405961040 414443808 416932960 456706170 469049580 482078735 487153248 503038680 518054760 519995040 578494482 603646416 608941560 625399440 670718240 690739680 730729872 750479328 754558020 771325976 779992560 811922080 867741723 913412340 938099160 964157470 1006077360 1036109520 1156988964 1207292832 1217883120 1250798880 1446236205 1461459744 1509116040 1542651952 1559985120 1735483446 1826824680 1876198320 1928314940 2012154720 2072219040 2313977928 2435766240 2892472410 3018232080 3085303904 3470966892 3653649360 3752396640 3856629880 4338708615 4627955856 5784944820 6036464160 6941933784 7307298720 7713259760 8677417230 9255911712 11569889640 13883867568 15426519520 17354834460 23139779280 27767735136 34709668920 46279558560 69419337840 138838675680
- Sum of all divisors σ(n): 548543923200
- Sum of proper divisors (its aliquot sum) s(n): 409705247520
- 138838675680 is an abundant number, because the sum of its proper divisors (409705247520) is greater than itself. Its abundance is 270866571840
Bases of 138838675680
- Binary: 100000010100110110111000010000111000002
- Hexadecimal: 0x20536E10E0
- Base-36: 1RS4YNS0
Squares and roots of 138838675680
- 138838675680 squared (1388386756802) is 19276177864576223462400
- 138838675680 cubed (1388386756803) is 2676279006889893249935360274432000
-
The
square root of 138838675680 is 372610.6220708153 -
The
cube root of 138838675680 is 5178.0966715709
Scales and comparisons
How big is 138838675680?- 138,838,675,680 seconds is equal to 4,414 years, 33 weeks, 2 days, 2 hours, 48 minutes.
-
To count from 1 to 138,838,675,680 would take you about eight thousand, eight hundred twenty-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 138838675680 cubic inches would be around 431.5 feet tall.
Recreational maths with 138838675680
- 138838675680 backwards is 086576838831
- The number of decimal digits it has is: 12
- The sum of 138838675680's digits is 63
- More coming soon!
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The information we have on file for 138838675680 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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