138934947312000
138,934,947,312,000 is an even composite number composed of seven prime numbers multiplied together.
138934947312000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138934947312000:
27 × 32 × 53 × 72 × 19 × 372 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 37 × 37 × 757)See below for interesting mathematical facts about the number 138934947312000 from the Numbermatics database.
Names of 138934947312000
- Cardinal: 138934947312000 can be written as One hundred thirty-eight trillion, nine hundred thirty-four billion, nine hundred forty-seven million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38934947312 × 1014
Factors of 138934947312000
Divisors of 138934947312000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 37 38 40 42 45 48 49 50 56 57 60 63 64 70 72 74 75 76 80 84 90 95 96 98 100 105 111 112 114 120 125 126 128 133 140 144 147 148 150 152 160 168 171 175 180 185 190 192 196 200 210 222 224 225 228 240 245 250 252 259 266 280 285 288 294 296 300 304 315 320 333 336 342 350 360 370 375 380 384 392 399 400 420 441 444 448 450 456 475 480 490 500 504 518 525 532 555 560 570 576 588 592 600 608 630 640 665 666 672 684 700 703 720 735 740 750 757 760 777 784 798 800 840 855 875 882 888 896 900 912 925 931 950 960 980 1000 1008 1036 1050 1064 1110 1120 1125 1140 1152 1176 1184 1197 1200 1216 1225 1260 1295 1330 1332 1344 1368 1369 1400 1406 1425 1440 1470 1480 1500 1514 1520 1554 1568 1575 1596 1600 1665 1680 1710 1750 1764 1776 1800 1813 1824 1850 1862 1900 1920 1960 1995 2000 2016 2072 2100 2109 2128 2205 2220 2240 2250 2271 2280 2331 2352 2368 2375 2394 2400 2432 2450 2520 2590 2625 2660 2664 2688 2736 2738 2775 2793 2800 2812 2850 2880 2940 2960 3000 3028 3040 3108 3136 3150 3192 3200 3325 3330 3360 3420 3500 3515 3528 3552 3600 3626 3648 3675 3700 3724 3785 3800 3885 3920 3990 4000 4032 4107 4144 4200 4218 4256 4275 4410 4440 4480 4500 4542 4560 4625 4655 4662 4704 4736 4750 4788 4800 4900 4921 5040 5180 5250 5299 5320 5328 5439 5472 5476 5550 5586 5600 5624 5700 5760 5880 5920 5985 6000 6056 6080 6125 6216 6272 6300 6327 6384 6475 6650 6660 6720 6813 6840 6845 7000 7030 7056 7104 7125 7200 7252 7296 7350 7400 7448 7570 7600 7770 7840 7875 7980 8000 8064 8214 8288 8325 8379 8400 8436 8512 8550 8820 8880 9000 9065 9084 9120 9250 9310 9324 9408 9500 9576 9583 9600 9800 9842 9975 10080 10360 10500 10545 10598 10640 10656 10878 10944 10952 11025 11100 11172 11200 11248 11355 11400 11655 11760 11840 11970 12000 12112 12160 12250 12321 12432 12600 12654 12768 12950 13300 13320 13440 13626 13680 13690 13875 13965 14000 14060 14112 14208 14250 14383 14400 14504 14700 14763 14800 14896 15140 15200 15540 15680 15750 15897 15960 16000 16317 16428 16576 16625 16650 16758 16800 16872 17024 17100 17575 17640 17760 18000 18130 18168 18240 18375 18500 18620 18648 18816 18925 19000 19152 19166 19425 19600 19684 19950 20160 20535 20720 21000 21090 21196 21280 21312 21375 21756 21888 21904 22050 22200 22344 22400 22496 22710 22800 23275 23310 23520 23680 23940 24000 24224 24500 24605 24642 24864 25200 25308 25536 25900 26011 26495 26600 26640 27195 27252 27360 27380 27750 27930 28000 28009 28120 28224 28500 28749 28766 28800 29008 29400 29526 29600 29792 29925 30280 30400 31080 31360 31500 31635 31794 31920 32375 32634 32856 33152 33250 33300 33516 33600 33744 34065 34200 34225 34447 35150 35280 35520 36000 36260 36336 36480 36750 37000 37093 37240 37296 37850 38000 38304 38332 38850 39200 39368 39900 40320 41070 41440 41625 41895 42000 42180 42392 42560 42624 42750 43149 43512 43808 44100 44289 44400 44688 44992 45325 45420 45600 46550 46620 47040 47691 47880 47915 48000 48448 49000 49210 49284 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248098120200 250333238400 261155916000 264637994880 268214184000 275664578000 277869894624 283540708800 289447806900 292494625920 304681902000 308744327360 310122650250 312916548000 315045232000 330797493600 347337368280 348207888000 354425886000 361809758625 365618282400 370493192832 375499857600 385930409200 396956992320 406242536000 413496867000 417222064000 434171710350 441063324800 457022853000 463116491040 469374822000 472567848000 482413011500 487491043200 496196240400 522311832000 536428368000 551329156000 555739789248 567081417600 578895613800 609363804000 617488654720 620245300500 625833096000 661594987200 694674736560 708851772000 723619517250 731236564800 750999715200 771860818400 793913984640 812485072000 826993734000 868343420700 914045706000 926232982080 938749644000 945135696000 964826023000 992392480800 1044623664000 1085429275875 1102658312000 1111479578496 1157791227600 1218727608000 1240490601000 1251666192000 1323189974400 1389349473120 1417703544000 1447239034500 1462473129600 1543721636800 1653987468000 1736686841400 1828091412000 1852465964160 1877499288000 1929652046000 1984784961600 2170858551750 2205316624000 2315582455200 2437455216000 2480981202000 2778698946240 2835407088000 2894478069000 3087443273600 3307974936000 3473373682800 3656182824000 3754998576000 3859304092000 3969569923200 4341717103500 4631164910400 4961962404000 5557397892480 5788956138000 6615949872000 6946747365600 7312365648000 7718608184000 8683434207000 9262329820800 9923924808000 11577912276000 13893494731200 15437216368000 17366868414000 19847849616000 23155824552000 27786989462400 34733736828000 46311649104000 69467473656000 138934947312000
- Sum of all divisors σ(n): 628747520637600
- Sum of proper divisors (its aliquot sum) s(n): 489812573325600
- 138934947312000 is an abundant number, because the sum of its proper divisors (489812573325600) is greater than itself. Its abundance is 350877626013600
Bases of 138934947312000
- Binary: 111111001011100010100000010111001110001100000002
- Hexadecimal: 0x7E5C502E7180
- Base-36: 1D8XU0FOG0
Squares and roots of 138934947312000
- 138934947312000 squared (1389349473120002) is 19302919584588216025344000000
- 138934947312000 cubed (1389349473120003) is 2681850115452536720697242696675328000000000
-
The
square root of 138934947312000 is 11787066.9511969771 -
The
cube root of 138934947312000 is 51792.9323690643
Scales and comparisons
How big is 138934947312000?- 138,934,947,312,000 seconds is equal to 4,417,701 years, 29 weeks, 4 days, 16 hours.
-
To count from 1 to 138,934,947,312,000 would take you about eleven million, forty-four thousand, two hundred fifty-three 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 138934947312000 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138934947312000
- 138934947312000 backwards is 000213749439831
- The number of decimal digits it has is: 15
- The sum of 138934947312000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138934947312000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 138934947312000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138934947312000/
Chicago style:
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The information we have on file for 138934947312000 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!
Keywords: Divisors of 138934947312000, math, Factors of 138934947312000, curriculum, school, college, exams, university, Prime factorization of 138934947312000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred thirty-four billion, nine hundred forty-seven million, three hundred twelve thousand.