138306438144
138,306,438,144 is an even composite number composed of six prime numbers multiplied together.
138306438144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 138306438144:
210 × 33 × 7 × 17 × 127 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 127 × 331)See below for interesting mathematical facts about the number 138306438144 from the Numbermatics database.
Names of 138306438144
- Cardinal: 138306438144 can be written as One hundred thirty-eight billion, three hundred six million, four hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38306438144 × 1011
Factors of 138306438144
Divisors of 138306438144
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 84 96 102 108 112 119 126 127 128 136 144 153 168 189 192 204 216 224 238 252 254 256 272 288 306 331 336 357 378 381 384 408 432 448 459 476 504 508 512 544 576 612 662 672 714 756 762 768 816 864 889 896 918 952 993 1008 1016 1024 1071 1088 1143 1152 1224 1324 1344 1428 1512 1524 1536 1632 1728 1778 1792 1836 1904 1986 2016 2032 2142 2159 2176 2286 2304 2317 2448 2648 2667 2688 2856 2979 3024 3048 3072 3213 3264 3429 3456 3556 3584 3672 3808 3972 4032 4064 4284 4318 4352 4572 4608 4634 4896 5296 5334 5376 5627 5712 5958 6048 6096 6426 6477 6528 6858 6912 6951 7112 7168 7344 7616 7944 8001 8064 8128 8568 8636 8704 8937 9144 9216 9268 9792 10592 10668 10752 11254 11424 11916 12096 12192 12852 12954 13056 13716 13824 13902 14224 14688 15113 15232 15888 16002 16128 16256 16881 17136 17272 17408 17874 18288 18536 19431 19584 20853 21184 21336 21504 22508 22848 23832 24003 24192 24384 25704 25908 26112 27432 27648 27804 28448 29376 30226 30464 31776 32004 32256 32512 33762 34272 34544 35748 36576 37072 38862 39168 39389 41706 42037 42368 42672 45016 45339 45696 47664 48006 48384 48768 50643 51408 51816 52224 54864 55608 56896 58293 58752 60452 60928 62559 63552 64008 64512 65024 67524 68544 69088 71496 73152 74144 77724 78336 78778 83412 84074 84736 85344 90032 90678 91392 95328 96012 96768 97536 101286 102816 103632 109728 111216 113792 116586 117504 118167 120904 121856 125118 126111 127104 128016 130048 135048 136017 137088 138176 142992 146304 148288 151929 155448 156672 157556 166824 168148 169472 170688 180064 181356 182784 190656 192024 193536 195072 202572 205632 207264 219456 222432 227584 233172 235008 236334 241808 250236 252222 254208 256032 270096 272034 274176 276352 285984 292608 294259 296576 303858 310896 315112 333648 336296 338944 341376 354501 360128 362712 365568 378333 381312 384048 390144 405144 408051 411264 414528 438912 444864 455168 466344 470016 472668 483616 500472 504444 508416 512064 540192 544068 548352 552704 571968 585216 588518 593152 607716 621792 630224 667296 672592 682752 709002 714629 720256 725424 756666 762624 768096 810288 816102 822528 829056 877824 882777 889728 910336 932688 945336 967232 1000944 1008888 1016832 1024128 1063503 1080384 1088136 1096704 1105408 1134999 1143936 1170432 1177036 1186304 1215432 1243584 1260448 1334592 1345184 1365504 1418004 1429258 1440512 1450848 1513332 1525248 1536192 1620576 1632204 1645056 1658112 1755648 1765554 1779456 1865376 1890672 1934464 2001888 2017776 2048256 2127006 2143887 2160768 2176272 2210816 2269998 2287872 2354072 2372608 2430864 2487168 2520896 2648331 2669184 2690368 2731008 2836008 2858516 2881024 2901696 3026664 3050496 3072384 3241152 3264408 3290112 3316224 3511296 3531108 3558912 3730752 3781344 3868928 4003776 4035552 4096512 4254012 4287774 4321536 4352544 4539996 4575744 4708144 4861728 4974336 5002403 5041792 5296662 5338368 5380736 5672016 5717032 5762048 5803392 6053328 6144768 6431661 6482304 6528816 6632448 7062216 7117824 7461504 7562688 7737856 7944993 8007552 8071104 8193024 8508024 8575548 8643072 8705088 9079992 9151488 9416288 9723456 9948672 10004806 10083584 10593324 10676736 10761472 11344032 11434064 11606784 12106656 12289536 12863322 12964608 13057632 14124432 14923008 15007209 15125376 15475712 15889986 16015104 16142208 17016048 17151096 17286144 17410176 18159984 18832576 19294983 19446912 19897344 20009612 20167168 21186648 21353472 21522944 22688064 22868128 23213568 24213312 24579072 25726644 25929216 26115264 28248864 29846016 30014418 30250752 31779972 32030208 32284416 34032096 34302192 34820352 36319968 37665152 38589966 38893824 40019224 40334336 42373296 43045888 45021627 45376128 45736256 46427136 48426624 51453288 51858432 52230528 56497728 59692032 60028836 60501504 63559944 64060416 64568832 68064192 68604384 69640704 72639936 75330304 77179932 77787648 80038448 84746592 90043254 90752256 91472512 96853248 102906576 104461056 112995456 120057672 121003008 127119888 129137664 135064881 136128384 137208768 139281408 145279872 150660608 154359864 155575296 160076896 169493184 180086508 181504512 182945024 193706496 205813152 208922112 225990912 240115344 254239776 270129762 272256768 274417536 290559744 301321216 308719728 320153792 338986368 360173016 363009024 365890048 387412992 411626304 417844224 451981824 480230688 508479552 540259524 544513536 548835072 581119488 617439456 640307584 677972736 720346032 731780096 823252608 903963648 960461376 1016959104 1080519048 1089027072 1097670144 1162238976 1234878912 1280615168 1355945472 1440692064 1646505216 1920922752 2033918208 2161038096 2195340288 2469757824 2561230336 2711890944 2881384128 3293010432 3841845504 4067836416 4322076192 4939515648 5122460672 5762768256 6586020864 7683691008 8135672832 8644152384 9879031296 11525536512 15367382016 17288304768 19758062592 23051073024 34576609536 46102146048 69153219072 138306438144
- Sum of all divisors σ(n): 501058437120
- Sum of proper divisors (its aliquot sum) s(n): 362751998976
- 138306438144 is an abundant number, because the sum of its proper divisors (362751998976) is greater than itself. Its abundance is 224445560832
Bases of 138306438144
- Binary: 100000001100111011010011000100000000002
- Hexadecimal: 0x2033B4C400
- Base-36: 1RJC2YO0
Squares and roots of 138306438144
- 138306438144 squared (1383064381442) is 19128670832080098164736
- 138306438144 cubed (1383064381443) is 2645618329214023107674507506089984
-
The
square root of 138306438144 is 371895.7355818967 -
The
cube root of 138306438144 is 5171.4714604621
Scales and comparisons
How big is 138306438144?- 138,306,438,144 seconds is equal to 4,397 years, 37 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 138,306,438,144 would take you about eight thousand, seven hundred ninety-five 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 138306438144 cubic inches would be around 431 feet tall.
Recreational maths with 138306438144
- 138306438144 backwards is 441834603831
- The number of decimal digits it has is: 12
- The sum of 138306438144's digits is 45
- More coming soon!
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