985133952
985,133,952 is an even composite number composed of five prime numbers multiplied together.
985133952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 985133952:
27 × 32 × 11 × 172 × 269
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 17 × 269)See below for interesting mathematical facts about the number 985133952 from the Numbermatics database.
Names of 985133952
- Cardinal: 985133952 can be written as Nine hundred eighty-five million, one hundred thirty-three thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 9.85133952 × 108
Factors of 985133952
Divisors of 985133952
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 64 66 68 72 88 96 99 102 128 132 136 144 153 176 187 192 198 204 264 269 272 288 289 306 352 374 384 396 408 528 538 544 561 576 578 612 704 748 792 807 816 867 1056 1076 1088 1122 1152 1156 1224 1408 1496 1584 1614 1632 1683 1734 2112 2152 2176 2244 2312 2421 2448 2601 2959 2992 3168 3179 3228 3264 3366 3468 4224 4304 4488 4573 4624 4842 4896 5202 5918 5984 6336 6358 6456 6528 6732 6936 8608 8877 8976 9146 9248 9537 9684 9792 10404 11836 11968 12672 12716 12912 13464 13719 13872 17216 17754 17952 18292 18496 19074 19368 19584 20808 23672 23936 25432 25824 26631 26928 27438 27744 28611 34432 35508 35904 36584 36992 38148 38736 41157 41616 47344 50303 50864 51648 53262 53856 54876 55488 57222 71016 71808 73168 76296 77472 77741 82314 83232 94688 100606 101728 103296 106524 107712 109752 110976 114444 142032 146336 150909 152592 154944 155482 164628 166464 189376 201212 203456 213048 215424 219504 228888 233223 284064 292672 301818 305184 309888 310964 329256 332928 378752 402424 406912 426096 439008 452727 457776 466446 568128 585344 603636 610368 621928 658512 699669 804848 852192 855151 878016 905454 915552 932892 1136256 1207272 1220736 1243856 1317024 1399338 1609696 1704384 1710302 1756032 1810908 1831104 1865784 2414544 2487712 2565453 2634048 2798676 3219392 3408768 3420604 3621816 3662208 3731568 4829088 4975424 5130906 5268096 5597352 6438784 6841208 7243632 7463136 7696359 9658176 9950848 10261812 11194704 13682416 14487264 14926272 15392718 19316352 20523624 22389408 27364832 28974528 29852544 30785436 41047248 44778816 54729664 57949056 61570872 82094496 89557632 109459328 123141744 164188992 246283488 328377984 492566976 985133952
- Sum of all divisors σ(n): 3297364200
- Sum of proper divisors (its aliquot sum) s(n): 2312230248
- 985133952 is an abundant number, because the sum of its proper divisors (2312230248) is greater than itself. Its abundance is 1327096296
Bases of 985133952
- Binary: 1110101011011111110011100000002
- Hexadecimal: 0x3AB7F380
- Base-36: GAIU80
Squares and roots of 985133952
- 985133952 squared (9851339522) is 970488903383138304
- 985133952 cubed (9851339523) is 956061568761977207582097408
-
The
square root of 985133952 is 31386.8436132083 -
The
cube root of 985133952 is 995.0198903459
Scales and comparisons
How big is 985133952?- 985,133,952 seconds is equal to 31 years, 16 weeks, 6 days, 19 minutes, 12 seconds.
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To count from 1 to 985,133,952 would take you about forty-six 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 985133952 cubic inches would be around 82.9 feet tall.
Recreational maths with 985133952
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