48628804224000
48,628,804,224,000 is an even composite number composed of eight prime numbers multiplied together.
48628804224000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, three hundred thirty-six divisors.
Prime factorization of 48628804224000:
210 × 3 × 53 × 72 × 112 × 13 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 31 × 53)See below for interesting mathematical facts about the number 48628804224000 from the Numbermatics database.
Names of 48628804224000
- Cardinal: 48628804224000 can be written as Forty-eight trillion, six hundred twenty-eight billion, eight hundred four million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 4.8628804224 × 1013
Factors of 48628804224000
Divisors of 48628804224000
- Number of divisors d(n): 6336
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 31 32 33 35 39 40 42 44 48 49 50 52 53 55 56 60 62 64 65 66 70 75 77 78 80 84 88 91 93 96 98 100 104 105 106 110 112 120 121 124 125 128 130 132 140 143 147 150 154 155 156 159 160 165 168 175 176 182 186 192 195 196 200 208 210 212 217 220 224 231 240 242 245 248 250 256 260 264 265 273 275 280 286 294 300 308 310 312 318 320 325 330 336 341 350 352 363 364 371 372 375 384 385 390 392 400 403 416 420 424 429 434 440 448 455 462 465 480 484 490 496 500 512 520 525 528 530 539 546 550 560 572 583 588 600 605 616 620 624 636 637 640 650 651 660 672 682 689 700 704 715 726 728 735 742 744 750 768 770 775 780 784 795 800 806 825 832 840 847 848 858 868 875 880 896 910 924 930 960 968 975 980 992 1000 1001 1023 1024 1040 1050 1056 1060 1078 1085 1092 1100 1113 1120 1144 1155 1166 1176 1200 1209 1210 1225 1232 1240 1248 1272 1274 1280 1300 1302 1320 1325 1344 1364 1365 1375 1378 1400 1408 1430 1452 1456 1470 1484 1488 1500 1519 1536 1540 1550 1560 1568 1573 1590 1600 1612 1617 1625 1643 1650 1664 1680 1694 1696 1705 1716 1736 1749 1750 1760 1792 1815 1820 1848 1855 1860 1911 1920 1925 1936 1950 1960 1984 2000 2002 2015 2046 2067 2080 2100 2112 2120 2145 2156 2170 2184 2200 2226 2240 2275 2288 2310 2325 2332 2352 2387 2400 2418 2420 2450 2464 2480 2496 2541 2544 2548 2560 2597 2600 2604 2625 2640 2650 2688 2695 2728 2730 2750 2756 2800 2816 2821 2860 2904 2912 2915 2940 2968 2976 3000 3003 3025 3038 3072 3080 3100 3120 3136 3146 3180 3185 3200 3224 3234 3250 3255 3286 3300 3328 3360 3388 3392 3410 3432 3445 3472 3498 3500 3520 3575 3584 3630 3640 3675 3696 3710 3720 3751 3822 3840 3850 3872 3875 3900 3920 3968 3975 4000 4004 4030 4081 4092 4125 4134 4160 4200 4224 4235 4240 4290 4312 4340 4368 4400 4433 4452 4480 4550 4557 4576 4620 4650 4664 4704 4719 4774 4800 4823 4836 4840 4875 4900 4928 4929 4960 4992 5005 5082 5088 5096 5115 5120 5194 5200 5208 5250 5280 5300 5376 5390 5425 5456 5460 5500 5512 5565 5600 5632 5642 5720 5775 5808 5824 5830 5880 5929 5936 5952 6000 6006 6045 6050 6076 6125 6160 6200 6240 6272 6292 6360 6370 6400 6413 6448 6468 6500 6510 6572 6600 6625 6656 6720 6776 6784 6820 6825 6864 6890 6944 6996 7000 7007 7040 7150 7161 7168 7260 7280 7350 7392 7420 7440 7502 7579 7595 7644 7680 7700 7744 7750 7791 7800 7840 7865 7936 7950 8000 8008 8060 8085 8162 8184 8215 8250 8268 8320 8400 8448 8463 8470 8480 8525 8580 8624 8680 8736 8745 8800 8866 8904 8960 9075 9100 9114 9152 9240 9275 9300 9328 9408 9438 9548 9555 9600 9625 9646 9672 9680 9750 9800 9856 9858 9920 9984 10010 10075 10164 10176 10192 10230 10335 10388 10400 10416 10500 10560 10600 10725 10752 10780 10850 10912 10920 11000 11011 11024 11130 11200 11253 11264 11284 11375 11440 11501 11550 11616 11625 11648 11660 11760 11858 11872 11904 11935 12000 12012 12090 12100 12152 12243 12250 12320 12400 12480 12544 12584 12705 12720 12740 12800 12826 12896 12936 12985 13000 13020 13144 13200 13250 13299 13312 13440 13475 13552 13568 13640 13650 13728 13780 13888 13992 14000 14014 14080 14105 14300 14322 14469 14520 14560 14575 14700 14784 14840 14880 15004 15015 15125 15158 15190 15288 15360 15400 15488 15500 15582 15600 15680 15730 15872 15900 15925 16000 16016 16120 16170 16275 16324 16368 16430 16500 16536 16640 16709 16800 16896 16926 16940 16960 17050 17160 17225 17248 17360 17472 17490 17600 17732 17787 17808 17875 17920 18073 18150 18200 18228 18304 18375 18480 18550 18600 18656 18755 18816 18876 19096 19110 19200 19239 19250 19292 19344 19360 19500 19600 19712 19716 19747 19840 19875 19968 20020 20150 20328 20352 20384 20405 20460 20670 20776 20800 20832 21000 21021 21120 21175 21200 21359 21450 21504 21560 21700 21824 21840 22000 22022 22048 22165 22260 22400 22506 22568 22737 22750 22785 22880 23002 23100 23232 23250 23296 23320 23520 23595 23716 23744 23808 23870 24000 24024 24115 24180 24200 24304 24486 24500 24640 24645 24800 24960 25025 25088 25168 25410 25440 25480 25575 25600 25652 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368400032000 374067724800 379912533000 389030433792 392167776000 401890944000 405240035200 434185752000 442080038400 458762304000 463131468800 467584656000 486288042240 496212288000 506550044000 522890368000 534382464000 552600048000 578914336000 607860052800 623446208000 631542912000 648384056320 694697203200 736800064000 748135449600 759825066000 784335552000 810480070400 868371504000 884160076800 917524608000 935169312000 972576084480 992424576000 1013100088000 1105200096000 1157828672000 1215720105600 1246892416000 1389394406400 1473600128000 1519650132000 1568671104000 1620960140800 1736743008000 1870338624000 1945152168960 2026200176000 2210400192000 2315657344000 2431440211200 3039300264000 3241920281600 3473486016000 3740677248000 4052400352000 4420800384000 4862880422400 6078600528000 6946972032000 8104800704000 9725760844800 12157201056000 16209601408000 24314402112000 48628804224000
- Sum of all divisors σ(n): 234261382957056
- Sum of proper divisors (its aliquot sum) s(n): 185632578733056
- 48628804224000 is an abundant number, because the sum of its proper divisors (185632578733056) is greater than itself. Its abundance is 137003774509056
Bases of 48628804224000
- Binary: 10110000111010010001101001101000000100000000002
- Hexadecimal: 0x2C3A469A0400
- Base-36: H8JRIH5HC
Squares and roots of 48628804224000
- 48628804224000 squared (486288042240002) is 2364760600256120242176000000
- 48628804224000 cubed (486288042240003) is 114995480266483595514580171751424000000000
-
The
square root of 48628804224000 is 6973435.6112320991 -
The
cube root of 48628804224000 is 36500.4201425335
Scales and comparisons
How big is 48628804224000?- 48,628,804,224,000 seconds is equal to 1,546,245 years, 28 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 48,628,804,224,000 would take you about three million, eight hundred sixty-five thousand, six hundred thirteen 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 48628804224000 cubic inches would be around 3041.7 feet tall.
Recreational maths with 48628804224000
- 48628804224000 backwards is 00042240882684
- 48628804224000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48628804224000's digits is 48
- More coming soon!
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MLA style:
"Number 48628804224000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 48628804224000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/48628804224000/
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The information we have on file for 48628804224000 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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