138726953400960
138,726,953,400,960 is an even composite number composed of six prime numbers multiplied together.
138726953400960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138726953400960:
27 × 32 × 5 × 83 × 293 × 990359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 83 × 293 × 990359)See below for interesting mathematical facts about the number 138726953400960 from the Numbermatics database.
Names of 138726953400960
- Cardinal: 138726953400960 can be written as One hundred thirty-eight trillion, seven hundred twenty-six billion, nine hundred fifty-three million, four hundred thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3872695340096 × 1014
Factors of 138726953400960
Divisors of 138726953400960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 83 90 96 120 128 144 160 166 180 192 240 249 288 293 320 332 360 384 415 480 498 576 586 640 664 720 747 830 879 960 996 1152 1172 1245 1328 1440 1465 1494 1660 1758 1920 1992 2344 2490 2637 2656 2880 2930 2988 3320 3516 3735 3984 4395 4688 4980 5274 5312 5760 5860 5976 6640 7032 7470 7968 8790 9376 9960 10548 10624 11720 11952 13185 13280 14064 14940 15936 17580 18752 19920 21096 23440 23904 24319 26370 26560 28128 29880 31872 35160 37504 39840 42192 46880 47808 48638 52740 53120 56256 59760 70320 72957 79680 84384 93760 95616 97276 105480 112512 119520 121595 140640 145914 159360 168768 187520 194552 210960 218871 239040 243190 281280 291828 337536 364785 389104 421920 437742 478080 486380 562560 583656 729570 778208 843840 875484 972760 990359 1094355 1167312 1459140 1556416 1687680 1750968 1945520 1980718 2188710 2334624 2918280 2971077 3112832 3501936 3891040 3961436 4377420 4669248 4951795 5836560 5942154 7003872 7782080 7922872 8754840 8913231 9338496 9903590 11673120 11884308 14007744 14855385 15564160 15845744 17509680 17826462 19807180 23346240 23768616 28015488 29710770 31691488 35019360 35652924 39614360 44566155 46692480 47537232 59421540 63382976 70038720 71305848 79228720 82199797 89132310 95074464 118843080 126765952 140077440 142611696 158457440 164399594 178264620 190148928 237686160 246599391 285223392 290175187 316914880 328799188 356529240 380297856 410998985 475372320 493198782 570446784 580350374 633829760 657598376 713058480 739798173 821997970 870525561 950744640 986397564 1140893568 1160700748 1232996955 1315196752 1426116960 1450875935 1479596346 1643995940 1741051122 1901489280 1972795128 2321401496 2465993910 2611576683 2630393504 2852233920 2901751870 2959192692 3287991880 3482102244 3698990865 3945590256 4352627805 4642802992 4931987820 5223153366 5260787008 5704467840 5803503740 5918385384 6575983760 6964204488 7397981730 7891180512 8705255610 9285605984 9863975640 10446306732 10521574016 11607007480 11836770768 13057883415 13151967520 13928408976 14795963460 15782361024 17410511220 18571211968 19727951280 20892613464 23214014960 23673541536 24084540521 26115766830 26303935040 27856817952 29591926920 31564722048 34821022440 37142423936 39455902560 41785226928 46428029920 47347083072 48169081042 52231533660 52607870080 55713635904 59183853840 69642044880 72253621563 78911805120 83570453856 92856059840 94694166144 96338162084 104463067320 111427271808 118367707680 120422702605 139284089760 144507243126 157823610240 167140907712 185712119680 192676324168 208926134640 216760864689 236735415360 240845405210 278568179520 289014486252 334281815424 361268107815 385352648336 417852269280 433521729378 473470830720 481690810420 557136359040 578028972504 722536215630 770705296672 835704538560 867043458756 963381620840 1083804323445 1156057945008 1445072431260 1541410593344 1671409077120 1734086917512 1926763241680 2167608646890 2312115890016 2890144862520 3082821186688 3468173835024 3853526483360 4335217293780 4624231780032 5780289725040 6936347670048 7707052966720 8670434587560 9248463560064 11560579450080 13872695340096 15414105933440 17340869175120 23121158900160 27745390680192 34681738350240 46242317800320 69363476700480 138726953400960
- Sum of all divisors σ(n): 486468238838400
- Sum of proper divisors (its aliquot sum) s(n): 347741285437440
- 138726953400960 is an abundant number, because the sum of its proper divisors (347741285437440) is greater than itself. Its abundance is 209014332036480
Bases of 138726953400960
- Binary: 111111000101011111000101100011100111010100000002
- Hexadecimal: 0x7E2BE2C73A80
- Base-36: 1D6AA68BK0
Squares and roots of 138726953400960
- 138726953400960 squared (1387269534009602) is 19245167599912127310528921600
- 138726953400960 cubed (1387269534009603) is 2669823468826674890398528678373561204736000
-
The
square root of 138726953400960 is 11778240.6751161271 -
The
cube root of 138726953400960 is 51767.0737568127
Scales and comparisons
How big is 138726953400960?- 138,726,953,400,960 seconds is equal to 4,411,088 years, 2 days, 17 hours, 36 minutes.
-
To count from 1 to 138,726,953,400,960 would take you about eleven million, twenty-seven thousand, seven hundred twenty 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 138726953400960 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138726953400960
- 138726953400960 backwards is 069004359627831
- The number of decimal digits it has is: 15
- The sum of 138726953400960's digits is 63
- More coming soon!
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