34085043200
34,085,043,200 is an even composite number composed of six prime numbers multiplied together.
34085043200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 34085043200:
210 × 52 × 13 × 23 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 61 × 73)See below for interesting mathematical facts about the number 34085043200 from the Numbermatics database.
Names of 34085043200
- Cardinal: 34085043200 can be written as Thirty-four billion, eighty-five million, forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 3.40850432 × 1010
Factors of 34085043200
Divisors of 34085043200
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 61 64 65 73 80 92 100 104 115 122 128 130 146 160 184 200 208 230 244 256 260 292 299 305 320 325 365 368 400 416 460 488 512 520 575 584 598 610 640 650 730 736 793 800 832 920 949 976 1024 1040 1150 1168 1196 1220 1280 1300 1403 1460 1472 1495 1525 1586 1600 1664 1679 1825 1840 1898 1952 2080 2300 2336 2392 2440 2560 2600 2806 2920 2944 2990 3050 3172 3200 3328 3358 3650 3680 3796 3904 3965 4160 4453 4600 4672 4745 4784 4880 5120 5200 5612 5840 5888 5980 6100 6344 6400 6656 6716 7015 7300 7360 7475 7592 7808 7930 8320 8395 8906 9200 9344 9490 9568 9760 10400 11224 11680 11776 11960 12200 12688 12800 13312 13432 14030 14600 14720 14950 15184 15616 15860 16640 16790 17812 18239 18400 18688 18980 19136 19520 19825 20800 21827 22265 22448 23360 23552 23725 23920 24400 25376 25600 26864 28060 29200 29440 29900 30368 31232 31720 33280 33580 35075 35624 36478 36800 37376 37960 38272 39040 39650 41600 41975 43654 44530 44896 46720 47450 47840 48800 50752 53728 56120 57889 58400 58880 59800 60736 62464 63440 66560 67160 70150 71248 72956 73600 74752 75920 76544 78080 79300 83200 83950 87308 89060 89792 91195 93440 94900 95680 97600 101504 102419 107456 109135 111325 112240 115778 116800 117760 119600 121472 126880 134320 140300 142496 145912 147200 151840 153088 156160 158600 166400 167900 174616 178120 179584 182390 186880 189800 191360 195200 203008 204838 214912 218270 222650 224480 231556 233600 239200 242944 253760 268640 280600 284992 289445 291824 294400 303680 306176 312320 317200 332800 335800 349232 356240 359168 364780 373760 379600 382720 390400 406016 409676 429824 436540 445300 448960 455975 463112 467200 478400 485888 507520 512095 537280 545675 561200 569984 578890 583648 588800 607360 634400 671600 698464 712480 718336 729560 759200 765440 780800 812032 819352 859648 873080 890600 897920 911950 926224 934400 956800 971776 1015040 1024190 1074560 1091350 1122400 1139968 1157780 1167296 1214720 1268800 1331447 1343200 1396928 1424960 1436672 1447225 1459120 1518400 1530880 1561600 1638704 1719296 1746160 1781200 1795840 1823900 1852448 1868800 1913600 2030080 2048380 2149120 2182700 2244800 2279936 2315560 2334592 2429440 2537600 2560475 2662894 2686400 2793856 2849920 2894450 2918240 3036800 3277408 3492320 3562400 3591680 3647800 3704896 3827200 4060160 4096760 4298240 4365400 4489600 4559872 4631120 4669184 4858880 5075200 5120950 5325788 5372800 5587712 5699840 5788900 5836480 6073600 6554816 6657235 6984640 7124800 7183360 7295600 7409792 7654400 8193520 8596480 8730800 8979200 9262240 9338368 10150400 10241900 10651576 10745600 11175424 11399680 11577800 11672960 12147200 13109632 13314470 13969280 14249600 14591200 14819584 16387040 17461600 17958400 18524480 18676736 20300800 20483800 21303152 21491200 22350848 22799360 23155600 23345920 24294400 26219264 26628940 27938560 28499200 29182400 29639168 32774080 33286175 34923200 35916800 37048960 40967600 42606304 42982400 46311200 46691840 52438528 53257880 55877120 56998400 58364800 59278336 65548160 66572350 69846400 74097920 81935200 85212608 92622400 93383680 104877056 106515760 111754240 113996800 116729600 131096320 133144700 139692800 148195840 163870400 170425216 185244800 213031520 233459200 262192640 266289400 279385600 296391680 327740800 340850432 370489600 426063040 466918400 524385280 532578800 558771200 655481600 681700864 740979200 852126080 1065157600 1310963200 1363401728 1481958400 1704252160 2130315200 2621926400 3408504320 4260630400 6817008640 8521260800 17042521600 34085043200
- Sum of all divisors σ(n): 97823280576
- Sum of proper divisors (its aliquot sum) s(n): 63738237376
- 34085043200 is an abundant number, because the sum of its proper divisors (63738237376) is greater than itself. Its abundance is 29653194176
Bases of 34085043200
- Binary: 111111011111010000001111100000000002
- Hexadecimal: 0x7EFA07C00
- Base-36: FNPCRNK
Squares and roots of 34085043200
- 34085043200 squared (340850432002) is 1161790169945866240000
- 34085043200 cubed (340850432003) is 39599668131940192451821568000000
-
The
square root of 34085043200 is 184621.3508779523 -
The
cube root of 34085043200 is 3242.3106009559
Scales and comparisons
How big is 34085043200?- 34,085,043,200 seconds is equal to 1,083 years, 41 weeks, 3 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 34,085,043,200 would take you about two thousand, one hundred sixty-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 34085043200 cubic inches would be around 270.2 feet tall.
Recreational maths with 34085043200
- 34085043200 backwards is 00234058043
- The number of decimal digits it has is: 11
- The sum of 34085043200's digits is 29
- More coming soon!
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