138746689536000
138,746,689,536,000 is an even composite number composed of eight prime numbers multiplied together.
138746689536000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138746689536000:
214 × 3 × 53 × 7 × 13 × 19 × 37 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 19 × 37 × 353)See below for interesting mathematical facts about the number 138746689536000 from the Numbermatics database.
Names of 138746689536000
- Cardinal: 138746689536000 can be written as One hundred thirty-eight trillion, seven hundred forty-six billion, six hundred eighty-nine million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38746689536 × 1014
Factors of 138746689536000
Divisors of 138746689536000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 32 35 37 38 39 40 42 48 50 52 56 57 60 64 65 70 74 75 76 78 80 84 91 95 96 100 104 105 111 112 114 120 125 128 130 133 140 148 150 152 156 160 168 175 182 185 190 192 195 200 208 210 222 224 228 240 247 250 256 259 260 266 273 280 285 296 300 304 312 320 325 336 350 353 364 370 375 380 384 390 399 400 416 420 444 448 455 456 475 480 481 494 500 512 518 520 525 532 546 555 560 570 592 600 608 624 640 650 665 672 700 703 706 728 740 741 750 760 768 777 780 798 800 832 840 875 888 896 910 912 925 950 960 962 975 988 1000 1024 1036 1040 1050 1059 1064 1092 1110 1120 1140 1184 1200 1216 1235 1248 1280 1295 1300 1330 1344 1365 1400 1406 1412 1425 1443 1456 1480 1482 1500 1520 1536 1554 1560 1596 1600 1625 1664 1680 1729 1750 1765 1776 1792 1820 1824 1850 1900 1920 1924 1950 1976 1995 2000 2048 2072 2080 2100 2109 2118 2128 2184 2220 2240 2275 2280 2368 2375 2400 2405 2432 2470 2471 2496 2560 2590 2600 2625 2660 2688 2730 2775 2800 2812 2824 2850 2886 2912 2960 2964 3000 3040 3072 3108 3120 3192 3200 3250 3325 3328 3360 3367 3458 3500 3515 3530 3552 3584 3640 3648 3700 3705 3800 3840 3848 3885 3900 3952 3990 4000 4096 4144 4160 4200 4218 4236 4256 4368 4440 4480 4550 4560 4589 4625 4736 4750 4800 4810 4864 4875 4921 4940 4942 4992 5120 5180 5187 5200 5250 5295 5320 5376 5460 5550 5600 5624 5648 5700 5772 5824 5920 5928 6000 6080 6144 6175 6216 6240 6384 6400 6475 6500 6650 6656 6707 6720 6734 6825 6916 7000 7030 7060 7104 7125 7168 7215 7280 7296 7400 7410 7413 7600 7680 7696 7770 7800 7904 7980 8000 8192 8288 8320 8400 8436 8472 8512 8645 8736 8825 8880 8960 9100 9120 9139 9178 9250 9472 9500 9600 9620 9728 9750 9842 9880 9884 9975 9984 10101 10240 10360 10374 10400 10500 10545 10590 10640 10752 10920 11100 11200 11248 11296 11375 11400 11544 11648 11840 11856 12000 12025 12160 12288 12350 12355 12432 12480 12768 12800 12950 13000 13061 13300 13312 13414 13440 13468 13650 13767 13832 13875 14000 14060 14120 14208 14250 14336 14430 14560 14592 14763 14800 14820 14826 15200 15360 15392 15540 15600 15808 15960 16000 16384 16576 16625 16640 16800 16835 16872 16944 17024 17290 17472 17575 17650 17760 17920 18200 18240 18278 18356 18500 18525 18944 19000 19200 19240 19425 19456 19500 19684 19760 19768 19950 19968 20121 20202 20480 20720 20748 20800 21000 21090 21180 21280 21504 21840 22200 22400 22496 22592 22750 22800 22945 23088 23296 23680 23712 24000 24050 24320 24576 24605 24700 24710 24864 24960 25536 25600 25900 25935 26000 26122 26475 26600 26624 26828 26880 26936 27300 27417 27534 27664 27750 28000 28120 28240 28416 28500 28672 28860 29120 29184 29526 29600 29640 29652 30400 30720 30784 30875 31080 31200 31616 31920 32000 32123 32375 33152 33250 33280 33535 33600 33670 33744 33888 34048 34125 34580 34944 35150 35300 35520 35840 36075 36400 36480 36556 36712 37000 37050 37065 37888 38000 38400 38480 38850 38912 39000 39183 39368 39520 39536 39900 39936 40242 40404 40960 41440 41496 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749982105600 762344448000 792838225920 825873152000 867166809600 889401856000 912807168000 924977930240 937477632000 991047782400 1043208192000 1067282227200 1083958512000 1109973516288 1156222412800 1217076224000 1238809728000 1249970176000 1321397043200 1334102784000 1387466895360 1445278016000 1460491468800 1524688896000 1651746304000 1734333619200 1778803712000 1825614336000 1849955860480 1874955264000 1982095564800 2134564454400 2167917024000 2312444825600 2434152448000 2477619456000 2668205568000 2774933790720 2890556032000 3303492608000 3468667238400 3557607424000 3651228672000 3749910528000 3964191129600 4335834048000 4624889651200 4955238912000 5336411136000 5549867581440 5781112064000 6606985216000 6937334476800 7302457344000 8671668096000 9249779302400 9910477824000 10672822272000 11562224128000 13874668953600 17343336192000 19820955648000 23124448256000 27749337907200 34686672384000 46248896512000 69373344768000 138746689536000
- Sum of all divisors σ(n): 616107006627840
- Sum of proper divisors (its aliquot sum) s(n): 477360317091840
- 138746689536000 is an abundant number, because the sum of its proper divisors (477360317091840) is greater than itself. Its abundance is 338613627555840
Bases of 138746689536000
- Binary: 111111000110000011110110010010011000000000000002
- Hexadecimal: 0x7E307B24C000
- Base-36: 1D6JCKM6TC
Squares and roots of 138746689536000
- 138746689536000 squared (1387466895360002) is 19250643857199171895296000000
- 138746689536000 cubed (1387466895360003) is 2670963106622919021472930810822656000000000
-
The
square root of 138746689536000 is 11779078.4671806987 -
The
cube root of 138746689536000 is 51769.5285393591
Scales and comparisons
How big is 138746689536000?- 138,746,689,536,000 seconds is equal to 4,411,715 years, 28 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 138,746,689,536,000 would take you about eleven million, twenty-nine thousand, two hundred eighty-eight 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 138746689536000 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138746689536000
- 138746689536000 backwards is 000635986647831
- The number of decimal digits it has is: 15
- The sum of 138746689536000's digits is 66
- More coming soon!
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"Number 138746689536000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138746689536000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138746689536000/
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The information we have on file for 138746689536000 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 138746689536000, math, Factors of 138746689536000, curriculum, school, college, exams, university, Prime factorization of 138746689536000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred forty-six billion, six hundred eighty-nine million, five hundred thirty-six thousand.