146315138112000
146,315,138,112,000 is an even composite number composed of seven prime numbers multiplied together.
146315138112000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 146315138112000:
29 × 32 × 53 × 11 × 133 × 23 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 23 × 457)See below for interesting mathematical facts about the number 146315138112000 from the Numbermatics database.
Names of 146315138112000
- Cardinal: 146315138112000 can be written as One hundred forty-six trillion, three hundred fifteen billion, one hundred thirty-eight million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.46315138112 × 1014
Factors of 146315138112000
Divisors of 146315138112000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 23 24 25 26 30 32 33 36 39 40 44 45 46 48 50 52 55 60 64 65 66 69 72 75 78 80 88 90 92 96 99 100 104 110 115 117 120 125 128 130 132 138 143 144 150 156 160 165 169 176 180 184 192 195 198 200 207 208 220 225 230 234 240 250 253 256 260 264 275 276 286 288 299 300 312 320 325 330 338 345 352 360 368 375 384 390 396 400 414 416 429 440 450 457 460 468 480 495 500 506 507 512 520 528 550 552 572 575 576 585 598 600 624 640 650 660 676 690 704 715 720 736 750 759 768 780 792 800 825 828 832 845 858 880 897 900 914 920 936 960 975 990 1000 1012 1014 1035 1040 1056 1100 1104 1125 1144 1150 1152 1170 1196 1200 1248 1265 1280 1287 1300 1320 1352 1371 1375 1380 1408 1430 1440 1472 1495 1500 1518 1521 1536 1560 1584 1600 1625 1650 1656 1664 1690 1716 1725 1760 1794 1800 1828 1840 1859 1872 1920 1950 1980 2000 2024 2028 2070 2080 2112 2145 2197 2200 2208 2250 2277 2285 2288 2300 2304 2340 2392 2400 2475 2496 2530 2535 2560 2574 2600 2640 2691 2704 2742 2750 2760 2816 2860 2875 2880 2925 2944 2990 3000 3036 3042 3120 3168 3200 3250 3289 3300 3312 3328 3380 3432 3450 3520 3575 3588 3600 3656 3680 3718 3744 3795 3840 3887 3900 3960 4000 4048 4056 4113 4125 4140 4160 4224 4225 4290 4394 4400 4416 4485 4500 4554 4570 4576 4600 4608 4680 4784 4800 4875 4950 4992 5027 5060 5070 5148 5175 5200 5280 5382 5408 5484 5500 5520 5577 5632 5720 5750 5760 5850 5888 5941 5980 6000 6072 6084 6240 6325 6336 6400 6435 6500 6578 6591 6600 6624 6656 6760 6855 6864 6900 7040 7150 7176 7200 7312 7360 7436 7475 7488 7590 7605 7680 7774 7800 7920 8000 8096 8112 8226 8250 8280 8320 8448 8450 8580 8625 8788 8800 8832 8970 9000 9108 9140 9152 9200 9295 9360 9568 9600 9750 9867 9900 9984 10054 10120 10140 10296 10350 10400 10511 10560 10725 10764 10816 10968 10985 11000 11040 11154 11385 11425 11440 11500 11520 11661 11700 11776 11882 11960 12000 12144 12168 12375 12480 12650 12672 12675 12800 12870 13000 13156 13182 13200 13248 13455 13520 13710 13728 13800 14080 14300 14352 14400 14624 14625 14720 14872 14950 14976 15081 15180 15210 15548 15600 15840 16000 16192 16224 16445 16452 16500 16560 16640 16731 16896 16900 17160 17250 17576 17600 17664 17823 17875 17940 18000 18216 18280 18304 18400 18590 18720 18975 19136 19200 19435 19500 19734 19773 19800 19968 20108 20240 20280 20565 20592 20700 20800 21022 21120 21125 21450 21528 21632 21936 21970 22000 22080 22308 22425 22770 22850 22880 23000 23040 23322 23400 23764 23920 24000 24167 24288 24336 24750 24960 25135 25300 25344 25350 25740 25875 26000 26312 26364 26400 26496 26910 27040 27420 27456 27600 27885 28160 28600 28704 28800 29248 29250 29440 29601 29705 29744 29900 29952 30162 30360 30420 31096 31200 31533 31625 31680 32000 32175 32384 32448 32890 32904 32955 33000 33120 33280 33462 33800 34275 34320 34500 34983 35152 35200 35328 35646 35750 35880 36000 36432 36560 36608 36800 37180 37375 37440 37950 38025 38272 38400 38870 39000 39468 39546 39600 40216 40480 40560 41130 41184 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738965344000 750334041600 762058011000 795190968000 812861878400 831336012000 865770048000 886758412800 914469613200 937917552000 975434254080 1016077348000 1023182784000 1060254624000 1108448016000 1125501062400 1143087016500 1170521104896 1219292817600 1250556736000 1272305548800 1330137619200 1406876328000 1463151381120 1477930688000 1524116022000 1590381936000 1625723756800 1662672024000 1828939226400 1875835104000 1950868508160 2032154696000 2120509248000 2216896032000 2251002124800 2286174033000 2438585635200 2660275238400 2813752656000 2926302762240 3048232044000 3180763872000 3251447513600 3325344048000 3657878452800 3751670208000 4064309392000 4433792064000 4572348066000 4877171270400 5627505312000 5852605524480 6096464088000 6361527744000 6650688096000 7315756905600 8128618784000 9144696132000 9754342540800 11255010624000 12192928176000 13301376192000 14631513811200 16257237568000 18289392264000 24385856352000 29263027622400 36578784528000 48771712704000 73157569056000 146315138112000
- Sum of all divisors σ(n): 651296144378880
- Sum of proper divisors (its aliquot sum) s(n): 504981006266880
- 146315138112000 is an abundant number, because the sum of its proper divisors (504981006266880) is greater than itself. Its abundance is 358665868154880
Bases of 146315138112000
- Binary: 1000010100010010101001011101010100011010000000002
- Hexadecimal: 0x8512A5D51A00
- Base-36: 1FV48VHJ40
Squares and roots of 146315138112000
- 146315138112000 squared (1463151381120002) is 21408119640733634924544000000
- 146315138112000 cubed (1463151381120003) is 3132331981952161614988442058620928000000000
-
The
square root of 146315138112000 is 12096079.4521200133 -
The
cube root of 146315138112000 is 52694.2329697897
Scales and comparisons
How big is 146315138112000?- 146,315,138,112,000 seconds is equal to 4,652,368 years, 42 weeks, 16 hours.
-
To count from 1 to 146,315,138,112,000 would take you about eleven million, six hundred thirty thousand, nine hundred twenty-two 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 146315138112000 cubic inches would be around 4391.2 feet tall.
Recreational maths with 146315138112000
- 146315138112000 backwards is 000211831513641
- 146315138112000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146315138112000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 146315138112000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 146315138112000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/146315138112000/
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The information we have on file for 146315138112000 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 146315138112000, math, Factors of 146315138112000, curriculum, school, college, exams, university, Prime factorization of 146315138112000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six trillion, three hundred fifteen billion, one hundred thirty-eight million, one hundred twelve thousand.