829128150
829,128,150 is an even composite number composed of five prime numbers multiplied together.
829128150 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 829128150:
2 × 36 × 52 × 232 × 43
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 23 × 23 × 43)See below for interesting mathematical facts about the number 829128150 from the Numbermatics database.
Names of 829128150
- Cardinal: 829128150 can be written as Eight hundred twenty-nine million, one hundred twenty-eight thousand, one hundred fifty.
Scientific notation
- Scientific notation: 8.2912815 × 108
Factors of 829128150
Divisors of 829128150
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 5 6 9 10 15 18 23 25 27 30 43 45 46 50 54 69 75 81 86 90 115 129 135 138 150 162 207 215 225 230 243 258 270 345 387 405 414 430 450 486 529 575 621 645 675 690 729 774 810 989 1035 1058 1075 1150 1161 1215 1242 1290 1350 1458 1587 1725 1863 1935 1978 2025 2070 2150 2322 2430 2645 2967 3105 3174 3225 3450 3483 3645 3726 3870 4050 4761 4945 5175 5290 5589 5805 5934 6075 6210 6450 6966 7290 7935 8901 9315 9522 9675 9890 10350 10449 11178 11610 12150 13225 14283 14835 15525 15870 16767 17415 17802 18225 18630 19350 20898 22747 23805 24725 26450 26703 27945 28566 29025 29670 31050 31347 33534 34830 36450 39675 42849 44505 45494 46575 47610 49450 52245 53406 55890 58050 62694 68241 71415 74175 79350 80109 83835 85698 87075 89010 93150 104490 113735 119025 128547 133515 136482 139725 142830 148350 156735 160218 167670 174150 204723 214245 222525 227470 238050 240327 257094 261225 267030 279450 313470 341205 357075 385641 400545 409446 419175 428490 445050 480654 522450 568675 614169 642735 667575 682410 714150 720981 771282 783675 801090 838350 1023615 1071225 1137350 1201635 1228338 1285470 1335150 1441962 1567350 1706025 1842507 1928205 2002725 2047230 2142450 2403270 3070845 3213675 3412050 3604905 3685014 3856410 4005450 5118075 5527521 6008175 6141690 6427350 7209810 9212535 9641025 10236150 11055042 12016350 15354225 16582563 18024525 18425070 19282050 27637605 30708450 33165126 36049050 46062675 55275210 82912815 92125350 138188025 165825630 276376050 414564075 829128150
- Sum of all divisors σ(n): 2473323468
- Sum of proper divisors (its aliquot sum) s(n): 1644195318
- 829128150 is an abundant number, because the sum of its proper divisors (1644195318) is greater than itself. Its abundance is 815067168
Bases of 829128150
- Binary: 1100010110101101111101110101102
- Hexadecimal: 0x316B7DD6
- Base-36: DPN3DI
Squares and roots of 829128150
- 829128150 squared (8291281502) is 687453489122422500
- 829128150 cubed (8291281503) is 569987039647119290943375000
-
The
square root of 829128150 is 28794.5854285141 -
The
cube root of 829128150 is 939.4504672417
Scales and comparisons
How big is 829128150?- 829,128,150 seconds is equal to 26 years, 18 weeks, 6 days, 9 hours, 22 minutes, 30 seconds.
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To count from 1 to 829,128,150 would take you about thirty-nine 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 829128150 cubic inches would be around 78.3 feet tall.
Recreational maths with 829128150
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