48800438272000
48,800,438,272,000 is an even composite number composed of five prime numbers multiplied together.
48800438272000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 48800438272000:
214 × 53 × 172 × 41 × 2011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 41 × 2011)See below for interesting mathematical facts about the number 48800438272000 from the Numbermatics database.
Names of 48800438272000
- Cardinal: 48800438272000 can be written as Forty-eight trillion, eight hundred billion, four hundred thirty-eight million, two hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.8800438272 × 1013
Factors of 48800438272000
Divisors of 48800438272000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 41 50 64 68 80 82 85 100 125 128 136 160 164 170 200 205 250 256 272 289 320 328 340 400 410 425 500 512 544 578 640 656 680 697 800 820 850 1000 1024 1025 1088 1156 1280 1312 1360 1394 1445 1600 1640 1700 2000 2011 2048 2050 2125 2176 2312 2560 2624 2720 2788 2890 3200 3280 3400 3485 4000 4022 4096 4100 4250 4352 4624 5120 5125 5248 5440 5576 5780 6400 6560 6800 6970 7225 8000 8044 8192 8200 8500 8704 9248 10055 10240 10250 10496 10880 11152 11560 11849 12800 13120 13600 13940 14450 16000 16088 16384 16400 17000 17408 17425 18496 20110 20480 20500 20992 21760 22304 23120 23698 25600 26240 27200 27880 28900 32000 32176 32800 34000 34187 34816 34850 36125 36992 40220 40960 41000 41984 43520 44608 46240 47396 50275 51200 52480 54400 55760 57800 59245 64000 64352 65600 68000 68374 69632 69700 72250 73984 80440 81920 82000 82451 83968 87040 87125 89216 92480 94792 100550 102400 104960 108800 111520 115600 118490 128000 128704 131200 136000 136748 139264 139400 144500 147968 160880 164000 164902 167936 170935 174080 174250 178432 184960 189584 201100 204800 209920 217600 223040 231200 236980 251375 256000 257408 262400 272000 273496 278528 278800 289000 295936 296225 321760 328000 329804 335872 341870 348160 348500 356864 369920 379168 402200 409600 412255 419840 435200 446080 462400 473960 502750 512000 514816 524800 544000 546992 557600 578000 581179 591872 592450 643520 656000 659608 671744 683740 696320 697000 713728 739840 758336 804400 824510 839680 854675 870400 892160 924800 947920 1005500 1024000 1029632 1049600 1088000 1093984 1115200 1156000 1162358 1183744 1184900 1287040 1312000 1319216 1367480 1392640 1394000 1401667 1427456 1479680 1481125 1516672 1608800 1649020 1679360 1709350 1740800 1784320 1849600 1895840 2011000 2048000 2059264 2061275 2099200 2176000 2187968 2230400 2312000 2324716 2367488 2369800 2574080 2624000 2638432 2734960 2788000 2803334 2854912 2905895 2959360 2962250 3033344 3217600 3298040 3358720 3418700 3481600 3568640 3699200 3791680 4022000 4118528 4122550 4198400 4273375 4352000 4375936 4460800 4624000 4649432 4734976 4739600 5148160 5248000 5276864 5469920 5576000 5606668 5709824 5811790 5918720 5924500 6066688 6435200 6596080 6837400 6963200 7008335 7137280 7398400 7583360 8044000 8237056 8245100 8396800 8546750 8704000 8751872 8921600 9248000 9298864 9479200 10296320 10306375 10496000 10553728 10939840 11152000 11213336 11419648 11623580 11837440 11849000 12133376 12870400 13192160 13674800 14016670 14274560 14529475 14796800 15166720 16088000 16474112 16490200 16793600 17093500 17408000 17503744 17843200 18496000 18597728 18958400 20592640 20612750 20992000 21107456 21879680 22304000 22426672 23247160 23674880 23698000 23828339 24266752 25740800 26384320 27349600 28033340 28549120 29058950 29593600 30333440 32176000 32948224 32980400 34187000 34816000 35007488 35041675 35686400 36992000 37195456 37916800 41185280 41225500 41984000 42214912 43759360 44608000 44853344 46494320 47396000 47656678 48533504 51481600 52768640 54699200 56066680 57098240 58117900 59187200 60666880 64352000 65960800 68374000 70014976 70083350 71372800 72647375 73984000 74390912 75833600 82370560 82451000 83968000 84429824 87518720 89216000 89706688 92988640 94792000 95313356 97067008 102963200 105537280 109398400 112133360 116235800 118374400 119141695 121333760 128704000 131921600 136748000 140029952 140166700 142745600 145294750 147968000 148781824 151667200 164741120 164902000 168859648 175037440 175208375 178432000 179413376 185977280 189584000 190626712 194134016 205926400 211074560 218796800 224266720 232471600 238283390 242667520 257408000 263843200 273496000 280059904 280333400 285491200 290589500 295936000 297563648 303334400 329804000 337719296 350074880 350416750 356864000 358826752 371954560 379168000 381253424 411852800 422149120 437593600 448533440 464943200 476566780 485335040 514816000 527686400 546992000 560119808 560666800 581179000 591872000 595127296 595708475 606668800 659608000 675438592 700149760 700833500 713728000 717653504 743909120 758336000 762506848 823705600 844298240 875187200 897066880 929886400 953133560 970670080 1029632000 1055372800 1093984000 1121333600 1162358000 1190254592 1191416950 1213337600 1319216000 1350877184 1400299520 1401667000 1427456000 1435307008 1487818240 1516672000 1525013696 1688596480 1750374400 1794133760 1859772800 1906267120 2059264000 2110745600 2187968000 2242667200 2324716000 2380509184 2382833900 2426675200 2638432000 2800599040 2803334000 2870614016 2975636480 2978542375 3033344000 3050027392 3377192960 3500748800 3588267520 3719545600 3812534240 4118528000 4221491200 4375936000 4485334400 4649432000 4761018368 4765667800 4853350400 5276864000 5606668000 5741228032 5951272960 5957084750 6066688000 6100054784 6754385920 7001497600 7176535040 7439091200 7625068480 8442982400 8751872000 8970668800 9298864000 9522036736 9531335600 10553728000 11213336000 11482456064 11902545920 11914169500 12133376000 12200109568 14002995200 14353070080 14878182400 15250136960 16885964800 17503744000 17941337600 18597728000 19062671200 21107456000 22426672000 22964912128 23805091840 23828339000 24266752000 24400219136 28706140160 29756364800 30500273920 33771929600 35007488000 35882675200 37195456000 38125342400 42214912000 44853344000 47610183680 47656678000 48800438272 57412280320 59512729600 61000547840 70014976000 71765350400 74390912000 76250684800 84429824000 89706688000 95313356000 97600876544 114824560640 119025459200 122001095680 143530700800 148781824000 152501369600 168859648000 179413376000 190626712000 195201753088 238050918400 244002191360 287061401600 297563648000 305002739200 358826752000 381253424000 390403506176 488004382720 574122803200 595127296000 610005478400 717653504000 762506848000 976008765440 1190254592000 1220010956800 1435307008000 1525013696000 1952017530880 2440021913600 2870614016000 3050027392000 4880043827200 6100054784000 9760087654400 12200109568000 24400219136000 48800438272000
- Sum of all divisors σ(n): 132610197466656
- Sum of proper divisors (its aliquot sum) s(n): 83809759194656
- 48800438272000 is an abundant number, because the sum of its proper divisors (83809759194656) is greater than itself. Its abundance is 35009320922656
Bases of 48800438272000
- Binary: 10110001100010001111001100100111000000000000002
- Hexadecimal: 0x2C623CC9C000
- Base-36: HAQM0YGHS
Squares and roots of 48800438272000
- 48800438272000 squared (488004382720002) is 2381482775539282345984000000
- 48800438272000 cubed (488004382720003) is 116217403183535979636371539099648000000000
-
The
square root of 48800438272000 is 6985731.0477859081 -
The
cube root of 48800438272000 is 36543.3121349111
Scales and comparisons
How big is 48800438272000?- 48,800,438,272,000 seconds is equal to 1,551,702 years, 51 weeks, 2 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 48,800,438,272,000 would take you about three million, eight hundred seventy-nine thousand, two hundred fifty-seven 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 48800438272000 cubic inches would be around 3045.3 feet tall.
Recreational maths with 48800438272000
- 48800438272000 backwards is 00027283400884
- The number of decimal digits it has is: 14
- The sum of 48800438272000's digits is 46
- More coming soon!
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