34131066200
34,131,066,200 is an even composite number composed of seven prime numbers multiplied together.
34131066200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 34131066200:
23 × 52 × 7 × 11 × 23 × 173 × 557
(2 × 2 × 2 × 5 × 5 × 7 × 11 × 23 × 173 × 557)See below for interesting mathematical facts about the number 34131066200 from the Numbermatics database.
Names of 34131066200
- Cardinal: 34131066200 can be written as Thirty-four billion, one hundred thirty-one million, sixty-six thousand, two hundred.
Scientific notation
- Scientific notation: 3.41310662 × 1010
Factors of 34131066200
Divisors of 34131066200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 20 22 23 25 28 35 40 44 46 50 55 56 70 77 88 92 100 110 115 140 154 161 173 175 184 200 220 230 253 275 280 308 322 346 350 385 440 460 506 550 557 575 616 644 692 700 770 805 865 920 1012 1100 1114 1150 1211 1265 1288 1384 1400 1540 1610 1730 1771 1903 1925 2024 2200 2228 2300 2422 2530 2785 3080 3220 3460 3542 3806 3850 3899 3979 4025 4325 4456 4600 4844 5060 5570 6055 6127 6325 6440 6920 7084 7612 7700 7798 7958 8050 8650 8855 9515 9688 10120 11140 12110 12254 12650 12811 13321 13925 14168 15224 15400 15596 15916 16100 17300 17710 19030 19495 19895 22280 24220 24508 25300 25622 26642 27850 27853 30275 30635 31192 31832 32200 34600 35420 38060 38990 39790 42889 43769 44275 47575 48440 49016 50600 51244 53284 55700 55706 60550 61270 64055 66605 70840 76120 77980 79580 85778 87538 88550 89677 95150 96361 97475 99475 102488 106568 111400 111412 121100 122540 128110 133210 139265 140921 153175 155960 159160 171556 175076 177100 179354 190300 192722 194950 198950 214445 218845 222824 242200 245080 256220 266420 278530 281842 306350 306383 320275 333025 343112 350152 354200 358708 380600 385444 389900 397900 428890 437690 448385 481805 512440 532840 557060 563684 612700 612766 640550 666050 674527 696325 704605 717416 770888 779800 795800 857780 875380 896770 963610 986447 1059971 1072225 1094225 1114120 1127368 1225400 1225532 1281100 1332100 1349054 1392650 1409210 1531915 1715560 1750760 1793540 1927220 1972894 2119942 2144450 2188450 2216303 2241925 2409025 2451064 2562200 2664200 2698108 2785300 2818420 3063830 3372635 3523025 3587080 3854440 3945788 4239884 4288900 4376900 4432606 4483850 4818050 4932235 5299855 5396216 5570600 5636840 6127660 6745270 7046050 7419797 7659575 7891576 8479768 8577800 8753800 8865212 8967700 9636100 9864470 10599710 11081515 12255320 13490540 14092100 14839594 15319150 15514121 16863175 17730424 17935400 19272200 19728940 21199420 22163030 24379333 24661175 26499275 26981080 28184200 29679188 30638300 31028242 33726350 37098985 39457880 42398840 44326060 48758666 49322350 52998550 55407575 59358376 61276600 62056484 67452700 74197970 77570605 88652120 97517332 98644700 105997100 110815150 121896665 124112968 134905400 148395940 155141210 170655331 185494925 195034664 197289400 211994200 221630300 243793330 296791880 310282420 341310662 370989850 387853025 443260600 487586660 609483325 620564840 682621324 741979700 775706050 853276655 975173320 1218966650 1365242648 1483959400 1551412100 1706553310 2437933300 3102824200 3413106620 4266383275 4875866600 6826213240 8532766550 17065533100 34131066200
- Sum of all divisors σ(n): 104020485120
- Sum of proper divisors (its aliquot sum) s(n): 69889418920
- 34131066200 is an abundant number, because the sum of its proper divisors (69889418920) is greater than itself. Its abundance is 35758352720
Bases of 34131066200
- Binary: 111111100100101111010111101010110002
- Hexadecimal: 0x7F25EBD58
- Base-36: FOGR788
Squares and roots of 34131066200
- 34131066200 squared (341310662002) is 1164929679948782440000
- 34131066200 cubed (341310662003) is 39760292024676706069037528000000
-
The
square root of 34131066200 is 184745.9504292313 -
The
cube root of 34131066200 is 3243.7692441591
Scales and comparisons
How big is 34131066200?- 34,131,066,200 seconds is equal to 1,085 years, 13 weeks, 4 days, 11 hours, 43 minutes, 20 seconds.
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To count from 1 to 34,131,066,200 would take you about two thousand, one hundred seventy 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 34131066200 cubic inches would be around 270.3 feet tall.
Recreational maths with 34131066200
- 34131066200 backwards is 00266013143
- The number of decimal digits it has is: 11
- The sum of 34131066200's digits is 26
- More coming soon!
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