830988820100
830,988,820,100 is an even composite number composed of seven prime numbers multiplied together.
830988820100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 830988820100:
22 × 52 × 17 × 23 × 292 × 37 × 683
(2 × 2 × 5 × 5 × 17 × 23 × 29 × 29 × 37 × 683)See below for interesting mathematical facts about the number 830988820100 from the Numbermatics database.
Names of 830988820100
- Cardinal: 830988820100 can be written as Eight hundred thirty billion, nine hundred eighty-eight million, eight hundred twenty thousand, one hundred.
Scientific notation
- Scientific notation: 8.309888201 × 1011
Factors of 830988820100
Divisors of 830988820100
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 10 17 20 23 25 29 34 37 46 50 58 68 74 85 92 100 115 116 145 148 170 185 230 290 340 370 391 425 460 493 575 580 629 667 683 725 740 782 841 850 851 925 986 1073 1150 1258 1334 1366 1450 1564 1682 1700 1702 1850 1955 1972 2146 2300 2465 2516 2668 2732 2900 3145 3335 3364 3404 3415 3700 3910 4205 4255 4292 4930 5365 6290 6670 6830 7820 8410 8510 9775 9860 10730 11339 11611 12325 12580 13340 13660 14297 14467 15709 15725 16675 16820 17020 17075 18241 19343 19550 19807 21025 21275 21460 22678 23222 24650 24679 25271 26825 28594 28934 31117 31418 31450 33350 34150 36482 38686 39100 39614 42050 42550 45356 46444 49300 49358 50542 53650 56695 57188 57868 58055 62234 62836 62900 66700 68300 71485 72335 72964 77372 78545 79228 84100 85100 91205 96715 98716 99035 101084 107300 113390 116110 123395 124468 126355 142970 144670 155585 157090 182410 193430 198070 226780 232220 246790 252710 267053 283475 285940 289340 290275 311170 314180 328831 336719 357425 361675 364820 386860 392725 396140 419543 429607 455561 456025 483575 493580 495175 505420 528989 534106 566950 574403 580550 581233 616975 622340 631775 657662 673438 714850 715691 723350 732859 777925 785450 839086 859214 911122 912050 967150 990350 1057978 1068212 1133900 1148806 1161100 1162466 1233950 1263550 1315324 1335265 1346876 1429700 1431382 1446700 1465718 1555850 1570900 1644155 1678172 1683595 1718428 1822244 1824100 1934300 1980700 2097715 2115956 2148035 2277805 2297612 2324932 2467900 2527100 2644945 2670530 2862764 2872015 2906165 2931436 3111700 3288310 3367190 3578455 3664295 4195430 4296070 4555610 5289890 5341060 5744030 5812330 6576620 6676325 6734380 7156910 7328590 7744537 8220775 8390860 8417975 8592140 9111220 9764851 9880961 10488575 10579780 10740175 11389025 11488060 11624660 12166747 12458603 13211269 13224725 13352650 14313820 14360075 14530825 14657180 15489074 16441550 16835950 16855757 17892275 18321475 19529702 19761922 20977150 21252911 21480350 22778050 24333494 24917206 26422538 26449450 26705300 28720150 29061650 30978148 32883100 33671900 33711514 35784550 36642950 38722685 39059404 39523844 41954300 42505822 42960700 45556100 48666988 48824255 49404805 49834412 52845076 52898900 57440300 58123300 60833735 62293015 66056345 67423028 71569100 73285900 77445370 84278785 85011644 97648510 98809610 106264555 121667470 124586030 132112690 154890740 168557570 193613425 195297020 197619220 212529110 224591573 243334940 244121275 247024025 249172060 264225380 286547869 304168675 311465075 330281725 337115140 361299487 387226850 421393925 425058220 449183146 488242550 488816953 494048050 531322775 573095738 608337350 622930150 660563450 722598974 774453700 842787850 898366292 976485100 977633906 988096100 1062645550 1122957865 1146191476 1216674700 1245860300 1321126900 1432739345 1445197948 1685575700 1806497435 1955267812 2125291100 2245915730 2444084765 2865478690 3612994870 4491831460 4888169530 5614789325 5730957380 7163696725 7225989740 8309888201 9032487175 9776339060 11229578650 12220423825 14327393450 16619776402 18064974350 22459157300 24440847650 28654786900 33239552804 36129948700 41549441005 48881695300 83098882010 166197764020 207747205025 415494410050 830988820100
- Sum of all divisors σ(n): 2122273415808
- Sum of proper divisors (its aliquot sum) s(n): 1291284595708
- 830988820100 is an abundant number, because the sum of its proper divisors (1291284595708) is greater than itself. Its abundance is 460295775608
Bases of 830988820100
- Binary: 11000001011110101100101100011110100001002
- Hexadecimal: 0xC17ACB1E84
- Base-36: ALR1AD8K
Squares and roots of 830988820100
- 830988820100 squared (8309888201002) is 690542419131190164010000
- 830988820100 cubed (8309888201003) is 573833030102827381499395384601000000
-
The
square root of 830988820100 is 911585.8819112985 -
The
cube root of 830988820100 is 9401.5269139471
Scales and comparisons
How big is 830988820100?- 830,988,820,100 seconds is equal to 26,422 years, 45 weeks, 3 days, 3 hours, 48 minutes, 20 seconds.
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To count from 1 to 830,988,820,100 would take you about fifty-two thousand, eight hundred forty-five 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 830988820100 cubic inches would be around 783.5 feet tall.
Recreational maths with 830988820100
- 830988820100 backwards is 001028889038
- The number of decimal digits it has is: 12
- The sum of 830988820100's digits is 47
- More coming soon!
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