137972936785920
137,972,936,785,920 is an even composite number composed of six prime numbers multiplied together.
137972936785920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137972936785920:
214 × 3 × 5 × 312 × 612 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 31 × 61 × 61 × 157)See below for interesting mathematical facts about the number 137972936785920 from the Numbermatics database.
Names of 137972936785920
- Cardinal: 137972936785920 can be written as One hundred thirty-seven trillion, nine hundred seventy-two billion, nine hundred thirty-six million, seven hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3797293678592 × 1014
Factors of 137972936785920
Divisors of 137972936785920
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 61 62 64 80 93 96 120 122 124 128 155 157 160 183 186 192 240 244 248 256 305 310 314 320 366 372 384 465 471 480 488 496 512 610 620 628 640 732 744 768 785 915 930 942 960 961 976 992 1024 1220 1240 1256 1280 1464 1488 1536 1570 1830 1860 1884 1891 1920 1922 1952 1984 2048 2355 2440 2480 2512 2560 2883 2928 2976 3072 3140 3660 3720 3721 3768 3782 3840 3844 3904 3968 4096 4710 4805 4867 4880 4960 5024 5120 5673 5766 5856 5952 6144 6280 7320 7440 7442 7536 7564 7680 7688 7808 7936 8192 9420 9455 9577 9610 9734 9760 9920 10048 10240 11163 11346 11532 11712 11904 12288 12560 14415 14601 14640 14880 14884 15072 15128 15360 15376 15616 15872 16384 18605 18840 18910 19154 19220 19468 19520 19840 20096 20480 22326 22692 23064 23424 23808 24335 24576 25120 28365 28731 28830 29202 29280 29760 29768 30144 30256 30720 30752 31232 31744 37210 37680 37820 38308 38440 38936 39040 39680 40192 40960 44652 45384 46128 46848 47616 47885 48670 49152 50240 55815 56730 57462 57660 58404 58560 58621 59520 59536 60288 60512 61440 61504 62464 63488 73005 74420 75360 75640 76616 76880 77872 78080 79360 80384 81920 89304 90768 92256 93696 95232 95770 97340 100480 111630 113460 114924 115320 115351 116808 117120 117242 119040 119072 120576 121024 122880 123008 124928 126976 143655 146010 148840 150720 150877 151280 153232 153760 155744 156160 158720 160768 175863 178608 181536 184512 187392 190464 191540 194680 200960 223260 226920 229848 230640 230702 233616 234240 234484 238080 238144 241152 242048 245760 246016 249856 253952 287310 292020 293105 296887 297680 301440 301754 302560 306464 307520 311488 312320 317440 321536 346053 351726 357216 363072 369024 374784 380928 383080 389360 401920 446520 452631 453840 459696 461280 461404 467232 468480 468968 476160 476288 482304 484096 492032 499712 507904 574620 576755 584040 584197 586210 593774 595360 602880 603508 605120 612928 615040 622976 624640 634880 643072 692106 703452 714432 726144 738048 749568 754385 761856 766160 778720 803840 879315 890661 893040 905262 907680 919392 922560 922808 934464 936960 937936 952320 952576 964608 968192 984064 999424 1149240 1153510 1168080 1168394 1172420 1187548 1190720 1205760 1207016 1210240 1225856 1230080 1245952 1249280 1269760 1286144 1384212 1406904 1428864 1452288 1476096 1484435 1499136 1508770 1523712 1532320 1557440 1607680 1730265 1752591 1758630 1781322 1786080 1810524 1815360 1838784 1845120 1845616 1868928 1873920 1875872 1904640 1905152 1929216 1936384 1968128 2263155 2298480 2307020 2336160 2336788 2344840 2375096 2381440 2411520 2414032 2420480 2451712 2460160 2491904 2498560 2539520 2572288 2768424 2813808 2857728 2904576 2920985 2952192 2968870 2998272 3017540 3064640 3114880 3215360 3460530 3505182 3517260 3562644 3572160 3575881 3621048 3630720 3677568 3690240 3691232 3737856 3747840 3751744 3809280 3810304 3858432 3872768 3936256 4453305 4526310 4596960 4614040 4672320 4673576 4689680 4750192 4762880 4823040 4828064 4840960 4903424 4920320 4983808 4997120 5536848 5627616 5715456 5809152 5841970 5904384 5937740 6035080 6129280 6229760 6430720 6921060 7010364 7034520 7125288 7144320 7151762 7242096 7261440 7355136 7380480 7382464 7475712 7495680 7503488 7618560 7620608 7716864 7745536 7872512 8762955 8906610 9052620 9193920 9203497 9228080 9344640 9347152 9379360 9500384 9525760 9646080 9656128 9681920 9806848 9840640 9967616 10727643 11073696 11255232 11430912 11618304 11683940 11808768 11875480 12070160 12258560 12459520 12861440 13842120 14020728 14069040 14250576 14288640 14303524 14484192 14522880 14710272 14760960 14764928 14951424 14991360 15006976 15241216 15491072 15745024 17525910 17813220 17879405 18105240 18110107 18387840 18406994 18456160 18689280 18694304 18758720 19000768 19051520 19292160 19312256 19363840 19613696 19681280 19935232 21455286 22147392 22510464 22861824 23236608 23367880 23617536 23750960 24140320 24517120 24919040 27610491 27684240 28041456 28138080 28501152 28577280 28607048 28968384 29045760 29420544 29521920 29529856 29902848 30013952 30482432 30982144 35051820 35626440 35758810 36210480 36220214 36775680 36813988 36912320 37378560 37388608 37517440 38001536 38103040 38584320 38624512 38727680 39227392 39362560 39870464 42910572 44294784 45020928 45723648 46017485 46473216 46735760 47235072 47501920 48280640 49034240 49838080 53638215 54330321 55220982 55368480 56082912 56276160 57002304 57154560 57214096 57936768 58091520 58841088 59043840 59059712 59805696 60027904 60964864 70103640 71252880 71517620 72420960 72440428 73551360 73627976 73824640 74757120 74777216 75034880 76003072 76206080 77249024 77455360 78454784 78725120 79740928 85821144 88589568 90041856 90550535 91447296 92034970 92946432 93471520 95003840 96561280 98068480 99676160 107276430 108660642 110441964 110736960 112165824 112552320 114004608 114309120 114428192 115873536 116183040 117682176 118087680 118119424 119611392 120055808 138052455 140207280 142505760 143035240 144841920 144880856 147102720 147255952 147649280 149514240 149554432 150069760 152006144 152412160 154498048 154910720 156909568 171642288 177179136 180083712 181101070 182894592 184069940 186943040 190007680 193122560 196136960 199352320 214552860 217321284 220883928 221473920 224331648 225104640 228009216 228618240 228856384 231747072 232366080 235364352 236175360 236238848 239222784 240111616 271651605 276104910 280414560 285011520 286070480 289683840 289761712 294205440 294511904 295298560 299028480 299108864 300139520 304012288 304824320 308996096 343284576 354358272 360167424 362202140 368139880 373886080 380015360 386245120 392273920 398704640 429105720 434642568 441767856 442947840 448663296 450209280 456018432 457236480 457712768 463494144 464732160 470728704 472477696 480223232 543303210 552209820 560829120 561413317 570023040 572140960 579367680 579523424 588410880 589023808 590597120 598056960 598217728 600279040 608024576 617992192 686569152 708716544 720334848 724404280 736279760 747772160 760030720 772490240 784547840 858211440 869285136 883535712 885895680 897326592 900418560 912036864 914472960 915425536 926988288 944955392 960446464 1086606420 1104419640 1121658240 1122826634 1140046080 1144281920 1158735360 1159046848 1176821760 1178047616 1181194240 1196113920 1196435456 1200558080 1216049152 1235984384 1373138304 1417433088 1440669696 1448808560 1472559520 1495544320 1520061440 1544980480 1684239951 1716422880 1738570272 1767071424 1771791360 1794653184 1800837120 1824073728 1830851072 1853976576 1889910784 2173212840 2208839280 2243316480 2245653268 2280092160 2288563840 2317470720 2318093696 2353643520 2356095232 2362388480 2392870912 2401116160 2432098304 2471968768 2746276608 2807066585 2834866176 2881339392 2897617120 2945119040 2991088640 3040122880 3089960960 3368479902 3432845760 3477140544 3534142848 3543582720 3589306368 3601674240 3648147456 3661702144 3707953152 4346425680 4417678560 4486632960 4491306536 4560184320 4577127680 4634941440 4636187392 4712190464 4724776960 4785741824 4802232320 4864196608 5492553216 5614133170 5669732352 5795234240 5890238080 5982177280 6080245760 6179921920 6736959804 6865691520 6954281088 7068285696 7087165440 7178612736 7203348480 7296294912 7323404288 7415906304 8421199755 8692851360 8835357120 8973265920 8982613072 9120368640 9154255360 9269882880 9272374784 9424380928 9449553920 9571483648 10985106432 11228266340 11590468480 11780476160 11964354560 12160491520 12359843840 13473919608 13731383040 13908562176 14136571392 14174330880 14357225472 14406696960 14592589824 14646808576 16842399510 17385702720 17670714240 17946531840 17965226144 18240737280 18308510720 18539765760 18544749568 18848761856 21970212864 22456532680 23180936960 23560952320 23928709120 24320983040 26947839216 27462766080 27817124352 28273142784 28348661760 28714450944 29293617152 33684799020 34771405440 35341428480 35893063680 35930452288 36481474560 36617021440 37079531520 37089499136 37697523712 43940425728 44913065360 46361873920 47121904640 47857418240 53895678432 54925532160 55634248704 56546285568 58587234304 67369598040 69542810880 70682856960 71786127360 71860904576 72962949120 73234042880 74178998272 75395047424 87880851456 89826130720 92723747840 94243809280 107791356864 109851064320 111268497408 113092571136 134739196080 139085621760 141365713920 143572254720 143721809152 146468085760 148357996544 150790094848 175761702912 179652261440 185447495680 188487618560 215582713728 219702128640 222536994816 226185142272 269478392160 278171243520 282731427840 287443618304 292936171520 296715993088 359304522880 370894991360 376975237120 431165427456 439404257280 445073989632 452370284544 538956784320 556342487040 565462855680 574887236608 718609045760 741789982720 753950474240 862330854912 878808514560 890147979264 1077913568640 1112684974080 1130925711360 1149774473216 1437218091520 1483579965440 1724661709824 2155827137280 2225369948160 2261851422720 2299548946432 2874436183040 3449323419648 4311654274560 4450739896320 4599097892864 5748872366080 6898646839296 8623308549120 9198195785728 11497744732160 13797293678592 17246617098240 22995489464320 27594587357184 34493234196480 45990978928640 68986468392960 137972936785920
- Sum of all divisors σ(n): 466756741812816
- Sum of proper divisors (its aliquot sum) s(n): 328783805026896
- 137972936785920 is an abundant number, because the sum of its proper divisors (328783805026896) is greater than itself. Its abundance is 190810868240976
Bases of 137972936785920
- Binary: 111110101111100010100111110001011000000000000002
- Hexadecimal: 0x7D7C53E2C000
- Base-36: 1CWNW47FUO
Squares and roots of 137972936785920
- 137972936785920 squared (1379729367859202) is 19036531285331476339910246400
- 137972936785920 cubed (1379729367859203) is 2626526127654228191599664557353691250688000
-
The
square root of 137972936785920 is 11746188.1811045411 -
The
cube root of 137972936785920 is 51673.1142062155
Scales and comparisons
How big is 137972936785920?- 137,972,936,785,920 seconds is equal to 4,387,112 years, 31 weeks, 5 days, 13 hours, 52 minutes.
-
To count from 1 to 137,972,936,785,920 would take you about ten million, nine hundred sixty-seven thousand, seven hundred eighty-one 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 137972936785920 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137972936785920
- 137972936785920 backwards is 029587639279731
- The number of decimal digits it has is: 15
- The sum of 137972936785920's digits is 78
- More coming soon!
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The information we have on file for 137972936785920 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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