138829433780400
138,829,433,780,400 is an even composite number composed of six prime numbers multiplied together.
138829433780400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138829433780400:
24 × 3 × 52 × 113 × 172 × 673
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 17 × 17 × 67 × 67 × 67)See below for interesting mathematical facts about the number 138829433780400 from the Numbermatics database.
Names of 138829433780400
- Cardinal: 138829433780400 can be written as One hundred thirty-eight trillion, eight hundred twenty-nine billion, four hundred thirty-three million, seven hundred eighty thousand, four hundred.
Scientific notation
- Scientific notation: 1.388294337804 × 1014
Factors of 138829433780400
Divisors of 138829433780400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 33 34 40 44 48 50 51 55 60 66 67 68 75 80 85 88 100 102 110 120 121 132 134 136 150 165 170 176 187 200 201 204 220 240 242 255 264 268 272 275 289 300 330 335 340 363 374 400 402 408 425 440 484 510 528 536 550 561 578 600 605 660 670 680 726 737 748 804 816 825 850 867 880 935 968 1005 1020 1072 1100 1122 1139 1156 1200 1210 1275 1320 1331 1340 1360 1445 1452 1474 1496 1608 1650 1675 1700 1734 1815 1870 1936 2010 2040 2057 2200 2211 2244 2278 2312 2420 2550 2640 2662 2680 2805 2890 2904 2948 2992 3025 3179 3216 3300 3350 3400 3417 3468 3630 3685 3740 3993 4020 4080 4114 4335 4400 4422 4488 4489 4556 4624 4675 4840 5025 5100 5324 5360 5610 5695 5780 5808 5896 6050 6171 6358 6600 6655 6700 6800 6834 6936 7225 7260 7370 7480 7986 8040 8107 8228 8670 8844 8976 8978 9075 9112 9350 9537 9680 10050 10200 10285 10648 11055 11220 11390 11560 11792 12100 12342 12529 12716 13200 13310 13400 13467 13668 13872 14025 14450 14520 14740 14960 15895 15972 16080 16214 16456 17085 17340 17688 17956 18150 18224 18425 18700 19074 19363 19965 20100 20400 20570 21296 21675 22110 22440 22445 22627 22780 23120 24200 24321 24684 25058 25432 26620 26800 26934 27336 28050 28475 28900 29040 29480 30855 31790 31944 32428 32912 33275 34170 34680 34969 35376 35912 36300 36850 37400 37587 38148 38726 39930 40200 40535 41140 43350 44220 44880 44890 45254 45560 47685 48400 48642 49368 49379 50116 50864 51425 53240 53868 54672 55275 56100 56950 57800 58089 58960 61710 62645 63580 63888 64856 66550 67335 67881 68340 69360 69938 71824 72600 73700 74800 75174 76296 76313 77452 79475 79860 80400 81070 82280 85425 86700 88440 89177 89780 90508 91120 95370 96815 97284 98736 98758 99825 100232 102850 104907 106480 107736 110550 112200 112225 113135 113900 115600 116178 121605 123420 125290 127160 129712 133100 134670 135762 136680 137819 139876 145200 147400 148137 150348 152592 152626 154275 154904 158950 159720 162140 164560 170850 173400 174845 176880 178354 179560 181016 187935 190740 193630 194568 197516 199650 200464 202675 205700 209814 212993 215472 221100 224400 224450 226270 227800 228939 232356 238425 243210 246840 246895 250580 254320 266200 267531 269340 271524 273360 275638 279752 290445 294800 296274 300696 300763 305252 308550 309808 313225 317900 319440 324280 336675 339405 341700 346800 349690 356708 359120 362032 375870 381480 381565 384659 387260 389136 395032 399300 405350 411400 413457 419628 425986 442200 445885 448900 452540 455600 457878 464712 476850 484075 486420 493680 493790 501160 524535 532400 535062 538680 543048 543169 551276 559504 565675 580890 592548 601392 601526 608025 610504 617100 626450 635800 638979 648560 673350 678810 683400 689095 699380 713416 740685 751740 762960 763130 769318 774520 790064 798600 810700 822800 826914 839256 839443 851972 874225 884400 891770 897800 902289 905080 915756 929424 939675 953700 968150 972840 987580 1002320 1049070 1064965 1070124 1077360 1086096 1086338 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17384101400 18560084730 18837100920 19122511540 19215146544 20015777650 20314520600 20416093203 20720811012 20860921680 21034762694 21835393800 22497072400 22947013848 23546376150 23903139425 24018933180 24377424720 24746779640 25901013765 26076152100 27221457604 27627748016 28683767310 29696135568 30023666475 30471780900 30926583600 30933474550 31395168200 31552144041 32025244240 33745608600 34026822005 34534685020 34768202800 37120169460 37674201840 38245023080 40031555300 40629041200 40832186406 41441622024 42069525388 43168356275 43670787600 45894027696 46400211825 47092752300 47806278850 48037866360 49493559280 51802027530 52152304200 52586906735 54442915208 57367534620 60047332950 60943561800 61866949100 62790336400 63104288082 67491217200 68053644010 69069370040 71709418275 74240338920 76490046160 80063110600 81664372812 82883244048 84139050776 86336712550 92800423650 94185504600 95612557700 96075732720 102080466015 103604055060 104304608400 105173813470 108885830416 114735069240 115691194817 120094665900 121887123600 123733898200 126208576164 129505068825 136107288020 138138740080 143418836550 148480677840 157760720205 160126221200 163328745624 168278101552 170134110025 172673425100 185600847300 188371009200 191225115400 204160932030 207208110120 210347626940 229470138480 231382389634 240189331800 247467796400 252417152328 259010137650 262934533675 272214576040 286837673100 315521440410 326657491248 340268220050 345346850200 347073584451 371201694600 382450230800 408321864060 414416220240 420695253880 462764779268 480378663600 504834304656 510402330075 518020275300 525869067350 544429152080 573675346200 578455974085 631042880820 680536440100 690693700400 694147168902 742403389200 788803601025 816643728120 841390507760 925529558536 1020804660150 1036040550600 1051738134700 1147350692400 1156911948170 1262085761640 1361072880200 1388294337804 1577607202050 1633287456240 1735367922255 1851059117072 2041609320300 2072081101200 2103476269400 2313823896340 2524171523280 2722145760400 2776588675608 2892279870425 3155214404100 3470735844510 4083218640600 4206952538800 4627647792680 5553177351216 5784559740850 6310428808200 6941471689020 8166437281200 8676839611275 9255295585360 11569119481700 12620857616400 13882943378040 17353679222550 23138238963400 27765886756080 34707358445100 46276477926800 69414716890200 138829433780400
- Sum of all divisors σ(n): 527494681155840
- Sum of proper divisors (its aliquot sum) s(n): 388665247375440
- 138829433780400 is an abundant number, because the sum of its proper divisors (388665247375440) is greater than itself. Its abundance is 249835813595040
Bases of 138829433780400
- Binary: 111111001000011101111110001010110111000101100002
- Hexadecimal: 0x7E43BF15B8B0
- Base-36: 1D7LD0EIEO
Squares and roots of 138829433780400
- 138829433780400 squared (1388294337804002) is 19273611683786468635424160000
- 138829433780400 cubed (1388294337804003) is 2675744596963377291755179970386294464000000
-
The
square root of 138829433780400 is 11782590.2831423277 -
The
cube root of 138829433780400 is 51779.8177440403
Scales and comparisons
How big is 138829433780400?- 138,829,433,780,400 seconds is equal to 4,414,346 years, 29 weeks, 3 days, 5 hours, 40 minutes.
-
To count from 1 to 138,829,433,780,400 would take you about eleven million, thirty-five thousand, eight hundred sixty-six 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 138829433780400 cubic inches would be around 4315 feet tall.
Recreational maths with 138829433780400
- 138829433780400 backwards is 004087334928831
- 138829433780400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138829433780400's digits is 60
- More coming soon!
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The information we have on file for 138829433780400 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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