105138736734720
105,138,736,734,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 105138736734720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
105138736734720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 105138736734720:
29 × 3 × 5 × 13 × 19 × 1372 × 2953
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 137 × 137 × 2953)See below for interesting mathematical facts about the number 105138736734720 from the Numbermatics database.
Names of 105138736734720
- Cardinal: 105138736734720 can be written as One hundred five trillion, one hundred thirty-eight billion, seven hundred thirty-six million, seven hundred thirty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.0513873673472 × 1014
Factors of 105138736734720
Divisors of 105138736734720
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 137 152 156 160 190 192 195 208 228 240 247 256 260 274 285 304 312 320 380 384 390 411 416 456 480 494 512 520 548 570 608 624 640 685 741 760 768 780 822 832 912 960 988 1040 1096 1140 1216 1235 1248 1280 1370 1482 1520 1536 1560 1644 1664 1781 1824 1920 1976 2055 2080 2192 2280 2432 2470 2496 2560 2603 2740 2953 2964 3040 3120 3288 3328 3562 3648 3705 3840 3952 4110 4160 4384 4560 4864 4940 4992 5206 5343 5480 5906 5928 6080 6240 6576 6656 7124 7296 7410 7680 7809 7904 8220 8320 8768 8859 8905 9120 9728 9880 9984 10412 10686 10960 11812 11856 12160 12480 13015 13152 14248 14592 14765 14820 15618 15808 16440 16640 17536 17718 17810 18240 18769 19760 19968 20824 21372 21920 23624 23712 24320 24960 26030 26304 26715 28496 29184 29530 29640 31236 31616 32880 33280 33839 35072 35436 35620 36480 37538 38389 39045 39520 41648 42744 43840 44295 47248 47424 48640 49920 52060 52608 53430 56107 56307 56992 59060 59280 62472 63232 65760 67678 70144 70872 71240 72960 75076 76778 78090 79040 83296 85488 87680 88590 93845 94496 94848 99840 101517 104120 105216 106860 112214 112614 113984 115167 118120 118560 124944 126464 131520 135356 141744 142480 145920 150152 153556 156180 158080 166592 168321 169195 170976 175360 177180 187690 188992 189696 191945 203034 208240 210432 213720 224428 225228 227968 230334 236240 237120 243997 249888 263040 270712 280535 281535 283488 284960 300304 307112 312360 316160 333184 336642 338390 341952 350720 354360 356611 375380 377984 379392 383890 404561 406068 416480 427440 448856 450456 455936 460668 472480 474240 487994 499776 507585 526080 541424 561070 563070 566976 569920 575835 600608 614224 624720 632320 666368 673284 676780 683904 708720 713222 729391 731991 750760 755968 767780 809122 812136 832960 841605 854880 897712 900912 911872 921336 944960 948480 975988 999552 1015170 1052160 1069833 1082848 1122140 1126140 1133952 1139840 1151670 1201216 1213683 1219985 1228448 1249440 1332736 1346568 1353560 1367808 1417440 1426444 1458782 1463982 1501520 1511936 1535560 1618244 1624272 1665920 1683210 1709760 1783055 1795424 1801824 1842672 1889920 1896960 1951976 1999104 2022805 2030340 2139666 2165696 2188173 2244280 2252280 2267904 2279680 2303340 2402432 2427366 2439970 2456896 2498880 2693136 2707120 2735616 2834880 2852888 2917564 2927964 3003040 3071120 3236488 3248544 3331840 3366420 3419520 3566110 3590848 3603648 3646955 3659955 3685344 3779840 3903952 3998208 4045610 4060680 4279332 4331392 4376346 4488560 4504560 4535808 4559360 4606680 4635943 4804864 4854732 4879940 4913792 4997760 5259293 5349165 5386272 5414240 5669760 5705776 5835128 5855928 6006080 6068415 6142240 6472976 6497088 6663680 6732840 6839040 7132220 7181696 7207296 7293910 7319910 7370688 7559680 7686659 7807904 8091220 8121360 8558664 8662784 8752692 8977120 9009120 9213360 9271886 9609728 9709464 9759880 9827584 9995520 10518586 10698330 10772544 10828480 10940865 11339520 11411552 11670256 11711856 12012160 12136830 12284480 12945952 12994176 13465680 13678080 13907829 14264440 14363392 14414592 14587820 14639820 14741376 15373318 15615808 15777879 16182440 16242720 17117328 17325568 17505384 17954240 18018240 18426720 18543772 19418928 19519760 19655168 19991040 21037172 21396660 21545088 21656960 21881730 22679040 22823104 23059977 23179715 23340512 23423712 24024320 24273660 24568960 25891904 25988352 26296465 26931360 27815658 28528880 28726784 28829184 29175640 29279640 29482752 30746636 31231616 31555758 32364880 32485440 34234656 35010768 35908480 36036480 36853440 37087544 38433295 38837856 39039520 42074344 42793320 43090176 43313920 43763460 45646208 46119954 46359430 46681024 46847424 48048640 48547320 49137920 51783808 51976704 52592930 53862720 55424857 55631316 57057760 58351280 58559280 58965504 61493272 62463232 63111516 64729760 64970880 68469312 69539145 70021536 71816960 72072960 73706880 74175088 76866590 77675712 78079040 78889395 84148688 85586640 86180352 86627840 87526920 91292416 92239908 92718860 93362048 93694848 97094640 98275840 99926567 103567616 105185860 107725440 110849714 111262632 114115520 115299885 116702560 117118560 122986544 124926464 126223032 129459520 129941760 136938624 139078290 140043072 143633920 144145920 147413760 148350176 153733180 155351424 156158080 157778790 166274571 168297376 171173280 175053840 182584832 184479816 185437720 186724096 187389696 194189280 199853134 207135232 210371720 215450880 221699428 222525264 228231040 230599770 233405120 234237120 245973088 252446064 258919040 259883520 273877248 277124285 278156580 280086144 294827520 296700352 299779701 307466360 310702848 312316160 315557580 332549142 336594752 342346560 350107680 368959632 370875440 373448192 374779392 388378560 399706268 420743440 430901760 443398856 445050528 456462080 461199540 466810240 468474240 491946176 499632835 504892128 517838080 547754496 554248570 556313160 560172288 593400704 599559402 614932720 621405696 624632320 631115160 665098284 673189504 684693120 700215360 720523141 737919264 741750880 776757120 799412536 831372855 841486880 886797712 890101056 912924160 922399080 933620480 936948480 983892352 999265670 1009784256 1035676160 1053072283 1108497140 1112626320 1120344576 1186801408 1199118804 1229865440 1262230320 1330196568 1346379008 1369386240 1400430720 1441046282 1475838528 1483501760 1498898505 1553514240 1598825072 1662745710 1682973760 1773595424 1780202112 1844798160 1867240960 1873896960 1967784704 1998531340 2019568512 2106144566 2161569423 2216994280 2225252640 2373602816 2398237608 2459730880 2524460640 2660393136 2692758016 2738772480 2800861440 2882092564 2951677056 2967003520 2997797010 3107028480 3159216849 3197650144 3325491420 3365947520 3547190848 3560404224 3602615705 3689596320 3935569408 3997062680 4039137024 4212289132 4323138846 4433988560 4450505280 4796475216 4919461760 5048921280 5265361415 5320786272 5601722880 5764185128 5903354112 5934007040 5995594020 6318433698 6395300288 6650982840 6731895040 7094381696 7120808448 7205231410 7379192640 7994125360 8078274048 8424578264 8646277692 8867977120 8901010560 9592950432 9838923520 10097842560 10530722830 10641572544 10807847115 11528370256 11806708224 11868014080 11991188040 12636867396 12790600576 13301965680 13463790080 13689939679 14188763392 14410462820 14758385280 15796084245 15988250720 16849156528 17292555384 17735954240 17802021120 19185900864 19677847040 20195685120 21061445660 21283145088 21615694230 23056740512 23982376080 25273734792 25581201152 26603931360 27379879358 28377526784 28820925640 29516770560 31592168490 31976501440 33698313056 34585110768 35471908480 35604042240 38371801728 40391370240 41069819037 42122891320 42566290176 43231388460 46113481024 47964752160 50547469584 51162402304 53207862720 54759758716 57641851280 59033541120 63184336980 63953002880 67396626112 68449698395 69170221536 70943816960 76743603456 82139638074 84245782640 85132580352 86462776920 92226962048 95929504320 101094939168 106415725440 109519517432 115283702560 126368673960 127906005760 134793252224 136899396790 138340443072 141887633920 153487206912 164279276148 168491565280 172925553840 184453924096 191859008640 202189878336 205349095185 212831450880 219039034864 230567405120 252737347920 255812011520 269586504448 273798793580 276680886144 328558552296 336983130560 345851107680 368907848192 383718017280 404379756672 410698190370 425662901760 438078069728 461134810240 505474695840 539173008896 547597587160 553361772288 657117104592 673966261120 691702215360 767436034560 808759513344 821396380740 876156139456 922269620480 1010949391680 1095195174320 1106723544576 1314234209184 1347932522240 1383404430720 1617519026688 1642792761480 1752312278912 1844539240960 2021898783360 2190390348640 2628468418368 2695865044480 2766808861440 3285585522960 3504624557824 4043797566720 4380780697280 5256936836736 5533617722880 6571171045920 7009249115648 8087595133440 8761561394560 10513873673472 13142342091840 17523122789120 21027747346944 26284684183680 35046245578240 52569368367360 105138736734720
- Sum of all divisors σ(n): 383952961687680
- Sum of proper divisors (its aliquot sum) s(n): 278814224952960
- 105138736734720 is an abundant number, because the sum of its proper divisors (278814224952960) is greater than itself. Its abundance is 173675488218240
Bases of 105138736734720
- Binary: 101111110011111100001010000111000100010000000002
- Hexadecimal: 0x5F9F850E2200
- Base-36: 119O2H905C
Squares and roots of 105138736734720
- 105138736734720 squared (1051387367347202) is 11054153962172760767653478400
- 105138736734720 cubed (1051387367347203) is 1162219783253943879829047196189666050048000
-
The
square root of 105138736734720 is 10253718.1907208665 -
The
cube root of 105138736734720 is 47197.7089903991
Scales and comparisons
How big is 105138736734720?- 105,138,736,734,720 seconds is equal to 3,343,086 years, 31 weeks, 6 days, 32 minutes.
-
To count from 1 to 105,138,736,734,720 would take you about eight million, three hundred fifty-seven thousand, seven hundred sixteen 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 105138736734720 cubic inches would be around 3933.1 feet tall.
Recreational maths with 105138736734720
- 105138736734720 backwards is 027437637831501
- 105138736734720 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 105138736734720's digits is 57
- More coming soon!
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The information we have on file for 105138736734720 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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